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			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="current">V</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">kt</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>0.38876889848812096</ml:real>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="14"/>
		</region>
		<region region-id="178" left="246" top="117" width="65.4" height="16.2" align-x="288" align-y="126" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="piston">Dia</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>8</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="15"/>
		</region>
		<region region-id="179" left="336" top="117" width="83.4" height="12.6" align-x="392.4" align-y="126" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">ParkingForce</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>5</ml:real>
						<ml:id xml:space="preserve">lbf</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="16"/>
		</region>
		<region region-id="2271" left="948" top="110.4" width="131.4" height="27" align-x="972" align-y="126" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">load</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve">pressure</ml:id>
							<ml:apply>
								<ml:div/>
								<ml:id xml:space="preserve">π</ml:id>
								<ml:real>4</ml:real>
							</ml:apply>
						</ml:apply>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">holeDiameter</ml:id>
							<ml:real>2</ml:real>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="17"/>
		</region>
		<region region-id="2272" left="1116" top="117" width="70.8" height="12.6" align-x="1138.8" align-y="126" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">load</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">lbf</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>21.264655273985909</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="pound_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
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			</math>
			<rendering item-idref="18"/>
		</region>
		<region region-id="2273" left="948" top="140.4" width="97.2" height="27" align-x="996.6" align-y="156" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">shearStress</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve">load</ml:id>
						<ml:id xml:space="preserve">shearArea</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="19"/>
		</region>
		<region region-id="2274" left="1086" top="140.4" width="98.4" height="31.8" align-x="1133.4" align-y="156" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">shearStress</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">lbf</ml:id>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">in</ml:id>
								<ml:real>2</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>356.24999999999994</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch" power-numerator="-2"/>
								<unitReference unit="pound_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="20"/>
		</region>
		<region region-id="207" left="18" top="158.4" width="95.4" height="30.6" align-x="53.4" align-y="174" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Volume</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve">ParkingForce</ml:id>
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve">g</ml:id>
							<ml:id xml:space="preserve" subscript="sw">ρ</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="21"/>
		</region>
		<region region-id="208" left="138" top="165" width="75.6" height="12.6" align-x="172.2" align-y="174" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Volume</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>2.2126457073170731</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="liter"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="22"/>
		</region>
		<region region-id="2736" left="954" top="176.4" width="95.4" height="31.8" align-x="1000.2" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">yieldStress</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>36000</ml:real>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">lbf</ml:id>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">in</ml:id>
								<ml:real>2</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="23"/>
		</region>
		<region region-id="2737" left="1074" top="182.4" width="219.6" height="41.4" align-x="1125.6" align-y="198" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">criticalThick</ml:id>
					<ml:eval placeholderMultiplicationStyle="default">
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">load</ml:id>
							<ml:apply>
								<ml:mult/>
								<ml:id xml:space="preserve">yieldStress</ml:id>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">shearArea</ml:id>
									<ml:id xml:space="preserve">t</ml:id>
								</ml:apply>
							</ml:apply>
						</ml:apply>
						<ml:unitOverride>
							<ml:id xml:space="preserve">in</ml:id>
						</ml:unitOverride>
						<result xmlns="http://schemas.mathsoft.com/math30">
							<unitedValue>
								<ml:real>0.00098958333333333342</ml:real>
								<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
									<unitReference unit="inch"/>
								</unitMonomial>
							</unitedValue>
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			</math>
			<rendering item-idref="24"/>
		</region>
		<region region-id="210" left="24" top="206.4" width="105" height="49.8" align-x="56.4" align-y="222" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Length</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve">Volume</ml:id>
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve">π</ml:id>
							<ml:apply>
								<ml:pow/>
								<ml:parens>
									<ml:apply>
										<ml:div/>
										<ml:id xml:space="preserve" subscript="piston">Dia</ml:id>
										<ml:real>2</ml:real>
									</ml:apply>
								</ml:parens>
								<ml:real>2</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="25"/>
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			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Length</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.068229877400678762</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="meter"/>
							</unitMonomial>
						</unitedValue>
					</result>
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			</math>
			<rendering item-idref="26"/>
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			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Length</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>2.6862156456960142</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch"/>
							</unitMonomial>
						</unitedValue>
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			</math>
			<rendering item-idref="27"/>
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		<region region-id="2040" left="1026" top="279" width="30.6" height="12.6" align-x="1043.4" align-y="288" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">cts</ml:id>
					<ml:real>1</ml:real>
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			</math>
			<rendering item-idref="28"/>
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		<region region-id="874" left="450" top="291" width="75.6" height="10.8" align-x="470.4" align-y="300" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">MEWASA bellows</p>
			</text>
		</region>
		<region region-id="897" left="12" top="291.6" width="244.2" height="18" align-x="24" align-y="306" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="16">
						<b>Bellows/Diaphragm Calculations</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="875" left="780" top="296.4" width="96" height="41.4" align-x="836.4" align-y="312" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:div/>
						<ml:real>2500</ml:real>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:div/>
								<ml:id xml:space="preserve">π</ml:id>
								<ml:real>4</ml:real>
							</ml:apply>
							<ml:apply>
								<ml:pow/>
								<ml:parens>
									<ml:apply>
										<ml:mult/>
										<ml:real>7</ml:real>
										<ml:real>2.54</ml:real>
									</ml:apply>
								</ml:parens>
								<ml:real>2</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:apply>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>10.069006333622371</ml:real>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="29"/>
		</region>
		<region region-id="876" left="480" top="308.4" width="87" height="27" align-x="522" align-y="324" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="bellows">K</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>2.50</ml:real>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">N</ml:id>
							<ml:id xml:space="preserve">mm</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="30"/>
		</region>
		<region region-id="2041" left="948" top="303.6" width="88.2" height="31.8" align-x="990" align-y="324" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">pumpVol</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>.692</ml:real>
						<ml:apply>
							<ml:div/>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">cm</ml:id>
								<ml:real>3</ml:real>
							</ml:apply>
							<ml:id xml:space="preserve">rev</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="31"/>
		</region>
		<region region-id="2042" left="1056" top="308.4" width="144" height="41.4" align-x="1109.4" align-y="324" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">motorSpeed</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:real>10000</ml:real>
							<ml:apply>
								<ml:div/>
								<ml:id xml:space="preserve">cts</ml:id>
								<ml:id xml:space="preserve">sec</ml:id>
							</ml:apply>
						</ml:apply>
						<ml:apply>
							<ml:div/>
							<ml:real>1</ml:real>
							<ml:apply>
								<ml:mult style="auto-select"/>
								<ml:real>2000</ml:real>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">cts</ml:id>
									<ml:id xml:space="preserve">rev</ml:id>
								</ml:apply>
							</ml:apply>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="32"/>
		</region>
		<region region-id="877" left="600" top="321" width="115.8" height="16.2" align-x="667.8" align-y="330" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:mult style="auto-select"/>
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve" subscript="bellows">K</ml:id>
							<ml:real>50</ml:real>
						</ml:apply>
						<ml:id xml:space="preserve">mm</ml:id>
					</ml:apply>
					<ml:unitOverride>
						<ml:id xml:space="preserve">lbf</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>28.101117887463811</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="pound_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="33"/>
		</region>
		<region region-id="1346" left="18" top="320.4" width="105.6" height="31.8" align-x="67.8" align-y="336" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="mineralOil">ρ</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>.00088</ml:real>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">kgf</ml:id>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">cm</ml:id>
								<ml:real>3</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="34"/>
		</region>
		<region region-id="1347" left="132" top="320.4" width="89.4" height="31.8" align-x="180.6" align-y="336" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="mineralOil">ρ</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">kgf</ml:id>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">m</ml:id>
								<ml:real>3</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>880</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="kilogram_force"/>
								<unitReference unit="meter" power-numerator="-3"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="35"/>
		</region>
		<region region-id="1348" left="252" top="326.4" width="114" height="31.8" align-x="300.6" align-y="342" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="mineralOil">ρ</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">N</ml:id>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">m</ml:id>
								<ml:real>3</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>8629.851999999999</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="meter" power-numerator="-3"/>
								<unitReference unit="newton"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="36"/>
		</region>
		<region region-id="1161" left="1590" top="338.4" width="56.4" height="31.8" align-x="1600.2" align-y="354" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">g</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>9.80665</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="meter"/>
								<unitReference unit="second" power-numerator="-2"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="37"/>
		</region>
		<region region-id="2275" left="1830" top="345" width="97.2" height="12.6" align-x="1887" align-y="354" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">resBellowsID</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>155</ml:real>
						<ml:id xml:space="preserve">mm</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="38"/>
		</region>
		<region region-id="878" left="480" top="351" width="87" height="16.2" align-x="526.8" align-y="360" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="mewasa">ID</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>200</ml:real>
						<ml:id xml:space="preserve">mm</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="39"/>
		</region>
		<region region-id="879" left="606" top="351" width="91.2" height="16.2" align-x="657" align-y="360" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="mewasa">OD</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>235</ml:real>
						<ml:id xml:space="preserve">mm</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="40"/>
		</region>
		<region region-id="2043" left="960" top="351" width="145.8" height="12.6" align-x="1013.4" align-y="360" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">fullFlowRate</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve">pumpVol</ml:id>
						<ml:id xml:space="preserve">motorSpeed</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="41"/>
		</region>
		<region region-id="2044" left="1134" top="339.6" width="97.8" height="31.8" align-x="1186.2" align-y="360" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">fullFlowRate</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">cm</ml:id>
								<ml:real>3</ml:real>
							</ml:apply>
							<ml:id xml:space="preserve">sec</ml:id>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>3.46</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="centimeter" power-numerator="3"/>
								<unitReference unit="second" power-numerator="-1"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="42"/>
		</region>
		<region region-id="2045" left="1266" top="344.4" width="101.4" height="41.4" align-x="1320.6" align-y="360" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve">fullFlowRate</ml:id>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:div/>
								<ml:id xml:space="preserve">π</ml:id>
								<ml:real>4</ml:real>
							</ml:apply>
							<ml:apply>
								<ml:pow/>
								<ml:parens>
									<ml:apply>
										<ml:mult/>
										<ml:real>.25</ml:real>
										<ml:id xml:space="preserve">in</ml:id>
									</ml:apply>
								</ml:parens>
								<ml:real>2</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:apply>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">in</ml:id>
							<ml:id xml:space="preserve">sec</ml:id>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>4.3013526521003778</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch"/>
								<unitReference unit="second" power-numerator="-1"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="43"/>
		</region>
		<region region-id="1162" left="1380" top="357" width="40.2" height="12.6" align-x="1396.8" align-y="366" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">ID</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>6</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="44"/>
		</region>
		<region region-id="1163" left="1440" top="357" width="40.8" height="12.6" align-x="1452.6" align-y="366" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">L</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>36</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="45"/>
		</region>
		<region region-id="2277" left="1830" top="369" width="91.8" height="12.6" align-x="1905.6" align-y="378" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">resBellowsVolume</ml:id>
					<ml:apply>
						<ml:mult style="auto-select"/>
						<ml:real>3</ml:real>
						<ml:id xml:space="preserve">l</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="46"/>
		</region>
		<region region-id="900" left="78" top="375" width="54" height="16.2" align-x="96.6" align-y="384" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="p">D</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>10.5</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="47"/>
		</region>
		<region region-id="901" left="150" top="375" width="88.8" height="16.2" align-x="212.4" align-y="384" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="desired">Volume</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real font="0">2.5</ml:real>
						<ml:id xml:space="preserve">l</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="48"/>
		</region>
		<region region-id="880" left="480" top="375" width="117" height="16.2" align-x="554.4" align-y="384" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="mewasa">strokeMin</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>36.0</ml:real>
						<ml:id xml:space="preserve">mm</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="49"/>
		</region>
		<region region-id="881" left="630" top="375" width="119.4" height="16.2" align-x="706.8" align-y="384" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="mewasa">strokeMax</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>87.3</ml:real>
						<ml:id xml:space="preserve">mm</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="50"/>
		</region>
		<region region-id="902" left="270" top="374.4" width="133.2" height="27" align-x="318" align-y="390" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="force">Piston</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve" subscript="max">Pressure</ml:id>
							<ml:apply>
								<ml:div/>
								<ml:id xml:space="preserve">π</ml:id>
								<ml:real>4</ml:real>
							</ml:apply>
						</ml:apply>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve" subscript="p">D</ml:id>
							<ml:real>2</ml:real>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="51"/>
		</region>
		<region region-id="1164" left="1572" top="374.4" width="71.4" height="31.8" align-x="1593.6" align-y="390" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="sw">ρ</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">lb</ml:id>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">ft</ml:id>
								<ml:real>3</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>63.988659590548231</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="foot" power-numerator="-3"/>
								<unitReference unit="pound"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="52"/>
		</region>
		<region region-id="1135" left="948" top="387" width="95.4" height="16.2" align-x="1015.2" align-y="396" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="housing">Diameter</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>12</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="53"/>
		</region>
		<region region-id="1165" left="1380" top="380.4" width="63.6" height="27" align-x="1401" align-y="396" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Vol</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:div/>
								<ml:id xml:space="preserve">π</ml:id>
								<ml:real>4</ml:real>
							</ml:apply>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">ID</ml:id>
								<ml:real>2</ml:real>
							</ml:apply>
						</ml:apply>
						<ml:id xml:space="preserve">L</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="54"/>
		</region>
		<region region-id="1166" left="1470" top="387" width="61.2" height="12.6" align-x="1489.8" align-y="396" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Vol</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>16.679999479923069</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="liter"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="55"/>
		</region>
		<region region-id="1136" left="1056" top="388.2" width="104.4" height="21" align-x="1118.4" align-y="402" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math30">
					<originRef doc-id="37F5E594-3FA8-4181-A98B-7E135FC84FD6" version-id="099F311F-11FD-4E48-AE2E-EF08DF5D4EA1" branch-id="00000000-0000-0000-0000-000000000000" revision-num="367727628" is-modified="true" region-id="0" href="Q:\Calcs\PFcalcs.xmcd" xmlns="http://schemas.mathsoft.com/provenance10">
						<hash/>
					</originRef>
					<parentRef doc-id="A64E84B6-1662-4FDD-BCF2-A2E83CB4BC43" version-id="B43AB5CA-7D85-48C6-9EB8-C36A11A45E29" branch-id="00000000-0000-0000-0000-000000000000" revision-num="367715788" is-modified="false" region-id="0" href="Q:\Calcs\VelocityProfile.xmcd" xmlns="http://schemas.mathsoft.com/provenance10">
						<hash/>
					</parentRef>
					<comment xmlns="http://schemas.mathsoft.com/provenance10"/>
					<originComment xmlns="http://schemas.mathsoft.com/provenance10"/>
					<contentHash xmlns="http://schemas.mathsoft.com/provenance10">a9f41770f64f0eef004d35114ac0f6fa</contentHash>
					<ml:define>
						<ml:id xml:space="preserve" subscript="housing">Volume</ml:id>
						<ml:apply>
							<ml:mult/>
							<ml:real>2151</ml:real>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">in</ml:id>
								<ml:real>3</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:define>
				</ml:provenance>
			</math>
			<rendering item-idref="56">
				<element-image-map>
					<box left="1.2" top="0.6" width="103.2" height="19.8" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/>
				</element-image-map>
			</rendering>
		</region>
		<region region-id="1137" left="1188" top="393" width="103.8" height="16.2" align-x="1248" align-y="402" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math30">
					<originRef doc-id="37F5E594-3FA8-4181-A98B-7E135FC84FD6" version-id="099F311F-11FD-4E48-AE2E-EF08DF5D4EA1" branch-id="00000000-0000-0000-0000-000000000000" revision-num="367728788" is-modified="true" region-id="0" href="Q:\Calcs\PFcalcs.xmcd" xmlns="http://schemas.mathsoft.com/provenance10">
						<hash/>
					</originRef>
					<parentRef doc-id="A64E84B6-1662-4FDD-BCF2-A2E83CB4BC43" version-id="B43AB5CA-7D85-48C6-9EB8-C36A11A45E29" branch-id="00000000-0000-0000-0000-000000000000" revision-num="367727628" is-modified="false" region-id="0" href="Q:\Calcs\VelocityProfile.xmcd" xmlns="http://schemas.mathsoft.com/provenance10">
						<hash/>
					</parentRef>
					<comment xmlns="http://schemas.mathsoft.com/provenance10"/>
					<originComment xmlns="http://schemas.mathsoft.com/provenance10"/>
					<contentHash xmlns="http://schemas.mathsoft.com/provenance10">1fe390d0623cf0a9b33c2411b4a05333</contentHash>
					<ml:define>
						<ml:id xml:space="preserve" subscript="housing">Weight</ml:id>
						<ml:apply>
							<ml:mult/>
							<ml:real>28.21</ml:real>
							<ml:id xml:space="preserve">lbf</ml:id>
						</ml:apply>
					</ml:define>
				</ml:provenance>
			</math>
			<rendering item-idref="57">
				<element-image-map>
					<box left="1.2" top="0.6" width="102.6" height="15" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/>
				</element-image-map>
			</rendering>
		</region>
		<region region-id="2278" left="1830" top="386.4" width="150.6" height="41.4" align-x="1901.4" align-y="402" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">resBellowsHeight</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve">resBellowsVolume</ml:id>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:div/>
								<ml:id xml:space="preserve">π</ml:id>
								<ml:real>4</ml:real>
							</ml:apply>
							<ml:apply>
								<ml:pow/>
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							<ml:apply>
								<ml:div/>
								<ml:id xml:space="preserve">π</ml:id>
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							<ml:apply>
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							<ml:apply>
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								<ml:id xml:space="preserve">D</ml:id>
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			<rendering item-idref="98"/>
		</region>
		<region region-id="2028" left="252" top="568.2" width="94.8" height="17.4" align-x="289.2" align-y="582" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">CylArea</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">cm</ml:id>
							<ml:real>2</ml:real>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>452.38934211693015</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="centimeter" power-numerator="2"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="99"/>
		</region>
		<region region-id="2357" left="540" top="573" width="185.4" height="12.6" align-x="681.6" align-y="582" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:plus/>
						<ml:apply>
							<ml:mult style="auto-select"/>
							<ml:real>270</ml:real>
							<ml:id xml:space="preserve">mm</ml:id>
						</ml:apply>
						<ml:apply>
							<ml:mult/>
							<ml:real>2</ml:real>
							<ml:parens>
								<ml:apply>
									<ml:mult/>
									<ml:real>0.5</ml:real>
									<ml:parens>
										<ml:apply>
											<ml:minus/>
											<ml:apply>
												<ml:mult style="auto-select"/>
												<ml:real>30</ml:real>
												<ml:id xml:space="preserve">mm</ml:id>
											</ml:apply>
											<ml:apply>
												<ml:mult style="auto-select"/>
												<ml:real>.040</ml:real>
												<ml:id xml:space="preserve">in</ml:id>
											</ml:apply>
										</ml:apply>
									</ml:parens>
								</ml:apply>
							</ml:parens>
						</ml:apply>
					</ml:apply>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.298984</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="meter"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="100"/>
		</region>
		<region region-id="2046" left="1242" top="561.6" width="99" height="31.8" align-x="1294.2" align-y="582" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">fullFlowRate</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">in</ml:id>
								<ml:real>3</ml:real>
							</ml:apply>
							<ml:id xml:space="preserve">sec</ml:id>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.21114215456777374</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch" power-numerator="3"/>
								<unitReference unit="second" power-numerator="-1"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="101"/>
		</region>
		<region region-id="2319" left="1824" top="579" width="109.8" height="12.6" align-x="1894.2" align-y="588" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">resBellowsHeight</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>5.8743212263248781</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="102"/>
		</region>
		<region region-id="2047" left="1242" top="586.8" width="172.2" height="30.6" align-x="1342.2" align-y="606" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve">fullFlowRate</ml:id>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve" subscript="mineralOil">ρ</ml:id>
							<ml:id xml:space="preserve">g</ml:id>
						</ml:apply>
					</ml:apply>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">lb</ml:id>
							<ml:id xml:space="preserve">s</ml:id>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.0067126349590051525</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="pound"/>
								<unitReference unit="second" power-numerator="-1"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="103"/>
		</region>
		<region region-id="1722" left="24" top="615" width="127.2" height="10.8" align-x="45" align-y="624" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Buoyancy Engine Compliance </p>
			</text>
		</region>
		<region region-id="1729" left="180" top="608.4" width="132" height="27" align-x="279" align-y="624" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">BEComplianceMeasured</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:apply>
							<ml:mult/>
							<ml:real>2</ml:real>
							<ml:id xml:space="preserve">mm</ml:id>
						</ml:apply>
						<ml:apply>
							<ml:mult style="auto-select"/>
							<ml:real>5</ml:real>
							<ml:id xml:space="preserve">m</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="104"/>
		</region>
		<region region-id="1730" left="360" top="608.4" width="225.6" height="27" align-x="427.2" align-y="624" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">BEBulkModulus</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve">BEComplianceMeasured</ml:id>
							<ml:apply>
								<ml:div/>
								<ml:id xml:space="preserve">π</ml:id>
								<ml:real>4</ml:real>
							</ml:apply>
						</ml:apply>
						<ml:apply>
							<ml:pow/>
							<ml:parens>
								<ml:apply>
									<ml:mult/>
									<ml:real>270</ml:real>
									<ml:id xml:space="preserve">mm</ml:id>
								</ml:apply>
							</ml:parens>
							<ml:real>2</ml:real>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="105"/>
		</region>
		<region region-id="1734" left="606" top="608.4" width="163.8" height="27" align-x="671.4" align-y="624" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">PumpRateReqd</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve">BEBulkModulus</ml:id>
							<ml:real>10</ml:real>
						</ml:apply>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">cm</ml:id>
							<ml:id xml:space="preserve">sec</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="106"/>
		</region>
		<region region-id="1738" left="804" top="608.4" width="138.6" height="46.2" align-x="873.6" align-y="624" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">motorRPMReqd</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve">PumpRateReqd</ml:id>
						<ml:apply>
							<ml:mult/>
							<ml:real>.692</ml:real>
							<ml:apply>
								<ml:div/>
								<ml:apply>
									<ml:pow/>
									<ml:id xml:space="preserve">cm</ml:id>
									<ml:real>3</ml:real>
								</ml:apply>
								<ml:id xml:space="preserve">rev</ml:id>
							</ml:apply>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="107"/>
		</region>
		<region region-id="1733" left="360" top="627.6" width="121.2" height="31.8" align-x="426" align-y="648" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">BEBulkModulus</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">cm</ml:id>
								<ml:real>3</ml:real>
							</ml:apply>
							<ml:id xml:space="preserve">m</ml:id>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>22.902210444669588</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="centimeter" power-numerator="3"/>
								<unitReference unit="meter" power-numerator="-1"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="108"/>
		</region>
		<region region-id="1735" left="612" top="627.6" width="109.8" height="31.8" align-x="676.2" align-y="648" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">PumpRateReqd</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">cm</ml:id>
								<ml:real>3</ml:real>
							</ml:apply>
							<ml:id xml:space="preserve">sec</ml:id>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>2.2902210444669588</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="centimeter" power-numerator="3"/>
								<unitReference unit="second" power-numerator="-1"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="109"/>
		</region>
		<region region-id="1739" left="810" top="662.4" width="126.6" height="27" align-x="878.4" align-y="678" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">motorRPMReqd</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">rev</ml:id>
							<ml:id xml:space="preserve">min</ml:id>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>198.57407900002534</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="minute" power-numerator="-1"/>
								<unitReference unit="revolution"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="110"/>
		</region>
		<region region-id="2322" left="30" top="699" width="114" height="10.8" align-x="39" align-y="708" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Tube Reservoir calculations</p>
			</text>
		</region>
		<region region-id="2347" left="750" top="705" width="40.2" height="12.6" align-x="769.2" align-y="714" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">vol</ml:id>
					<ml:apply>
						<ml:mult style="auto-select"/>
						<ml:real>38</ml:real>
						<ml:id xml:space="preserve">l</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="111"/>
		</region>
		<region region-id="2348" left="810" top="705" width="53.4" height="12.6" align-x="835.2" align-y="714" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">diam</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>12</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="112"/>
		</region>
		<region region-id="2358" left="78" top="717" width="58.2" height="12.6" align-x="123" align-y="726" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">numTubes</ml:id>
					<ml:real>1</ml:real>
				</ml:define>
			</math>
			<rendering item-idref="113"/>
		</region>
		<region region-id="2325" left="156" top="717" width="40.2" height="12.6" align-x="172.8" align-y="726" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">ID</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>3</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="114"/>
		</region>
		<region region-id="2326" left="234" top="717" width="62.4" height="12.6" align-x="256.2" align-y="726" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">wall</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>0.071</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="115"/>
		</region>
		<region region-id="2327" left="312" top="717" width="57.6" height="12.6" align-x="341.4" align-y="726" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedBIFunction" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">length</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>30</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="116"/>
		</region>
		<region region-id="2328" left="396" top="710.4" width="133.8" height="27" align-x="429.6" align-y="726" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">volume</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:id xml:space="preserve">numTubes</ml:id>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">π</ml:id>
									<ml:real>4</ml:real>
								</ml:apply>
							</ml:apply>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">ID</ml:id>
								<ml:real>2</ml:real>
							</ml:apply>
						</ml:apply>
						<ml:id xml:space="preserve">length</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="117"/>
		</region>
		<region region-id="2329" left="606" top="717" width="73.8" height="12.6" align-x="638.4" align-y="726" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">volume</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>3.474999891650639</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="liter"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="118"/>
		</region>
		<region region-id="2343" left="810" top="716.4" width="64.8" height="31.8" align-x="832.2" align-y="732" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">leng</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve">vol</ml:id>
							<ml:real>4</ml:real>
						</ml:apply>
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve">π</ml:id>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">diam</ml:id>
								<ml:real>2</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="119"/>
		</region>
		<region region-id="2330" left="78" top="753" width="58.2" height="12.6" align-x="123" align-y="762" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">numTubes</ml:id>
					<ml:real>4</ml:real>
				</ml:define>
			</math>
			<rendering item-idref="120"/>
		</region>
		<region region-id="2331" left="162" top="753" width="47.4" height="12.6" align-x="178.8" align-y="762" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">ID</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>1.5</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="121"/>
		</region>
		<region region-id="2332" left="240" top="753" width="62.4" height="12.6" align-x="262.2" align-y="762" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">wall</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>0.071</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="122"/>
		</region>
		<region region-id="2333" left="318" top="753" width="57.6" height="12.6" align-x="347.4" align-y="762" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">length</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>30</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="123"/>
		</region>
		<region region-id="2334" left="402" top="746.4" width="133.8" height="27" align-x="435.6" align-y="762" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">volume</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:id xml:space="preserve">numTubes</ml:id>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">π</ml:id>
									<ml:real>4</ml:real>
								</ml:apply>
							</ml:apply>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">ID</ml:id>
								<ml:real>2</ml:real>
							</ml:apply>
						</ml:apply>
						<ml:id xml:space="preserve">length</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="124"/>
		</region>
		<region region-id="2335" left="612" top="753" width="73.8" height="12.6" align-x="644.4" align-y="762" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">volume</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>3.474999891650639</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="liter"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="125"/>
		</region>
		<region region-id="2352" left="822" top="765" width="65.4" height="12.6" align-x="843" align-y="774" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">leng</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>20.503597761597618</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="126"/>
		</region>
		<region region-id="2320" left="1842" top="770.4" width="117.6" height="31.8" align-x="1884" align-y="786" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:mult style="auto-select"/>
						<ml:real>1410</ml:real>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">kgf</ml:id>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">m</ml:id>
								<ml:real>3</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:apply>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">kgf</ml:id>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">cm</ml:id>
								<ml:real>3</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.00141</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="centimeter" power-numerator="-3"/>
								<unitReference unit="kilogram_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="127"/>
		</region>
		<region region-id="2580" left="48" top="789" width="109.2" height="12.6" align-x="121.8" align-y="798" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">BellowsWallThick</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>.040</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="128"/>
		</region>
		<region region-id="2573" left="54" top="807" width="182.4" height="12.6" align-x="103.8" align-y="816" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">BellowsOD</ml:id>
					<ml:apply>
						<ml:minus/>
						<ml:apply>
							<ml:mult/>
							<ml:real>300</ml:real>
							<ml:id xml:space="preserve">mm</ml:id>
						</ml:apply>
						<ml:parens>
							<ml:apply>
								<ml:mult/>
								<ml:real>2</ml:real>
								<ml:id xml:space="preserve">BellowsWallThick</ml:id>
							</ml:apply>
						</ml:parens>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="129"/>
		</region>
		<region region-id="2585" left="276" top="807" width="85.8" height="12.6" align-x="321.6" align-y="816" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">BellowsID</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>240</ml:real>
						<ml:id xml:space="preserve">mm</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="130"/>
		</region>
		<region region-id="2586" left="378" top="807" width="128.4" height="12.6" align-x="463.8" align-y="816" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">BellowsStrokeLength</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>49.7</ml:real>
						<ml:id xml:space="preserve">mm</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="131"/>
		</region>
		<region region-id="2575" left="72" top="830.4" width="427.2" height="27" align-x="136.2" align-y="846" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">BellowsVolume</ml:id>
					<ml:apply>
						<ml:plus/>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">π</ml:id>
									<ml:real>4</ml:real>
								</ml:apply>
								<ml:apply>
									<ml:pow/>
									<ml:id xml:space="preserve">BellowsID</ml:id>
									<ml:real>2</ml:real>
								</ml:apply>
							</ml:apply>
							<ml:id xml:space="preserve">BellowsStrokeLength</ml:id>
						</ml:apply>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult style="auto-select"/>
								<ml:apply>
									<ml:mult style="auto-select"/>
									<ml:apply>
										<ml:div/>
										<ml:real>1</ml:real>
										<ml:real>2</ml:real>
									</ml:apply>
									<ml:apply>
										<ml:div/>
										<ml:id xml:space="preserve">π</ml:id>
										<ml:real>4</ml:real>
									</ml:apply>
								</ml:apply>
								<ml:parens>
									<ml:apply>
										<ml:minus/>
										<ml:apply>
											<ml:pow/>
											<ml:id xml:space="preserve">BellowsOD</ml:id>
											<ml:real>2</ml:real>
										</ml:apply>
										<ml:apply>
											<ml:pow/>
											<ml:id xml:space="preserve">BellowsID</ml:id>
											<ml:real>2</ml:real>
										</ml:apply>
									</ml:apply>
								</ml:parens>
							</ml:apply>
							<ml:id xml:space="preserve">BellowsStrokeLength</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="132"/>
		</region>
		<region region-id="2579" left="60" top="861" width="104.4" height="12.6" align-x="123" align-y="870" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">BellowsVolume</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>2.8570157919522083</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="liter"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="133"/>
		</region>
		<region region-id="1174" left="1470" top="890.4" width="63.6" height="27" align-x="1491" align-y="906" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Vol</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:div/>
								<ml:id xml:space="preserve">π</ml:id>
								<ml:real>4</ml:real>
							</ml:apply>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">ID</ml:id>
								<ml:real>2</ml:real>
							</ml:apply>
						</ml:apply>
						<ml:id xml:space="preserve">L</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="134"/>
		</region>
		<region region-id="1175" left="1560" top="897" width="61.2" height="12.6" align-x="1579.8" align-y="906" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Vol</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.26062499187379795</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="liter"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="135"/>
		</region>
		<region region-id="851" left="6" top="897.6" width="150.6" height="18" align-x="18" align-y="912" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="16">
						<b>Energy Calculations</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="947" left="468" top="888" width="367.2" height="35.4" align-x="546" align-y="912" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="mewasa">volumeMin</ml:id>
					<ml:apply>
						<ml:plus/>
						<ml:id xml:space="preserve" subscript="mewasa">deadVolume</ml:id>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">π</ml:id>
									<ml:real>4</ml:real>
								</ml:apply>
								<ml:apply>
									<ml:pow/>
									<ml:parens>
										<ml:apply>
											<ml:div/>
											<ml:apply>
												<ml:plus/>
												<ml:id xml:space="preserve" subscript="mewasa">OD</ml:id>
												<ml:id xml:space="preserve" subscript="mewasa">ID</ml:id>
											</ml:apply>
											<ml:real>2</ml:real>
										</ml:apply>
									</ml:parens>
									<ml:real>2</ml:real>
								</ml:apply>
							</ml:apply>
							<ml:id xml:space="preserve" subscript="mewasa">strokeMin</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="136"/>
		</region>
		<region region-id="2353" left="972" top="909" width="40.2" height="12.6" align-x="991.2" align-y="918" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">vol</ml:id>
					<ml:apply>
						<ml:mult style="auto-select"/>
						<ml:real>38</ml:real>
						<ml:id xml:space="preserve">l</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="137"/>
		</region>
		<region region-id="2354" left="1032" top="909" width="48.6" height="12.6" align-x="1057.2" align-y="918" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">diam</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>8</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="138"/>
		</region>
		<region region-id="2355" left="1032" top="920.4" width="64.8" height="31.8" align-x="1054.2" align-y="936" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">leng</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve">vol</ml:id>
							<ml:real>4</ml:real>
						</ml:apply>
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve">π</ml:id>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">diam</ml:id>
								<ml:real>2</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="139"/>
		</region>
		<region region-id="212" left="30" top="944.4" width="82.2" height="27" align-x="79.8" align-y="960" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="linear">Speed</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:apply>
							<ml:mult/>
							<ml:real>1</ml:real>
							<ml:id xml:space="preserve">m</ml:id>
						</ml:apply>
						<ml:apply>
							<ml:mult/>
							<ml:real>2</ml:real>
							<ml:id xml:space="preserve">min</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="140"/>
		</region>
		<region region-id="213" left="174" top="944.4" width="78.6" height="30.6" align-x="199.2" align-y="960" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Time</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve">Length</ml:id>
						<ml:id xml:space="preserve" subscript="linear">Speed</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="141"/>
		</region>
		<region region-id="214" left="306" top="957" width="63.6" height="12.6" align-x="330" align-y="966" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Time</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>8.1875852880814524</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="second"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="142"/>
		</region>
		<region region-id="948" left="468" top="942" width="372" height="35.4" align-x="548.4" align-y="966" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="mewasa">volumeMax</ml:id>
					<ml:apply>
						<ml:plus/>
						<ml:id xml:space="preserve" subscript="mewasa">deadVolume</ml:id>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">π</ml:id>
									<ml:real>4</ml:real>
								</ml:apply>
								<ml:apply>
									<ml:pow/>
									<ml:parens>
										<ml:apply>
											<ml:div/>
											<ml:apply>
												<ml:plus/>
												<ml:id xml:space="preserve" subscript="mewasa">OD</ml:id>
												<ml:id xml:space="preserve" subscript="mewasa">ID</ml:id>
											</ml:apply>
											<ml:real>2</ml:real>
										</ml:apply>
									</ml:parens>
									<ml:real>2</ml:real>
								</ml:apply>
							</ml:apply>
							<ml:id xml:space="preserve" subscript="mewasa">strokeMax</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="143"/>
		</region>
		<region region-id="2356" left="1044" top="969" width="65.4" height="12.6" align-x="1065" align-y="978" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">leng</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>46.13309496359463</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="144"/>
		</region>
		<region region-id="949" left="468" top="987" width="120.6" height="16.2" align-x="547.2" align-y="996" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="mewasa">volumeMax</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>3.7148042130468228</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="liter"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="145"/>
		</region>
		<region region-id="950" left="606" top="987" width="118.2" height="16.2" align-x="682.8" align-y="996" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="mewasa">volumeMin</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>1.808791605258409</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="liter"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="146"/>
		</region>
		<region region-id="719" left="2316" top="999" width="42" height="12.6" align-x="2334.6" align-y="1008" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">dia</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>6</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="147"/>
		</region>
		<region region-id="720" left="2394" top="992.4" width="101.4" height="27" align-x="2441.4" align-y="1008" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">volPerInch</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">π</ml:id>
									<ml:real>4</ml:real>
								</ml:apply>
								<ml:apply>
									<ml:pow/>
									<ml:id xml:space="preserve">dia</ml:id>
									<ml:real>2</ml:real>
								</ml:apply>
							</ml:apply>
							<ml:real>1</ml:real>
						</ml:apply>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="148"/>
		</region>
		<region region-id="215" left="24" top="990" width="148.2" height="35.4" align-x="52.8" align-y="1014" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Force</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve" subscript="max">Pressure</ml:id>
							<ml:id xml:space="preserve">π</ml:id>
						</ml:apply>
						<ml:apply>
							<ml:pow/>
							<ml:parens>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve" subscript="piston">Dia</ml:id>
									<ml:real>2</ml:real>
								</ml:apply>
							</ml:parens>
							<ml:real>2</ml:real>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="149"/>
		</region>
		<region region-id="216" left="252" top="1000.2" width="94.2" height="17.4" align-x="279.6" align-y="1014" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Force</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">lbf</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>36640.839691368543</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="pound_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="150"/>
		</region>
		<region region-id="951" left="468" top="1017" width="237" height="16.2" align-x="541.8" align-y="1026" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="mewasa">ΔVolume</ml:id>
					<ml:apply>
						<ml:minus/>
						<ml:id xml:space="preserve" subscript="mewasa">volumeMax</ml:id>
						<ml:id xml:space="preserve" subscript="mewasa">volumeMin</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="151"/>
		</region>
		<region region-id="721" left="2394" top="1029" width="87.6" height="12.6" align-x="2440.2" align-y="1038" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">volPerInch</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.46333331888675183</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="liter"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="152"/>
		</region>
		<region region-id="217" left="30" top="1034.4" width="91.8" height="27" align-x="61.2" align-y="1050" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Power</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve">Force</ml:id>
							<ml:id xml:space="preserve">Length</ml:id>
						</ml:apply>
						<ml:id xml:space="preserve">Time</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="153"/>
		</region>
		<region region-id="218" left="162" top="1036.2" width="98.4" height="17.4" align-x="192" align-y="1050" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Power</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>1358.22145930367</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="watt"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="154"/>
		</region>
		<region region-id="952" left="468" top="1047" width="114" height="16.2" align-x="540.6" align-y="1056" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="mewasa">ΔVolume</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>1.9060126077884136</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="liter"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="155"/>
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		<region region-id="953" left="618" top="1040.4" width="147" height="27" align-x="721.2" align-y="1056" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:div/>
							<ml:real>2.5</ml:real>
							<ml:real>1.906</ml:real>
						</ml:apply>
						<ml:id xml:space="preserve" subscript="mewasa">totalStroke</ml:id>
					</ml:apply>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.0672875131164743</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="meter"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="156"/>
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		<region region-id="725" left="2400" top="1047" width="121.8" height="16.2" align-x="2447.4" align-y="1056" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">BFPerInch</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve">volPerInch</ml:id>
							<ml:id xml:space="preserve">g</ml:id>
						</ml:apply>
						<ml:id xml:space="preserve" subscript="sw">ρ</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="157"/>
		</region>
		<region region-id="954" left="666" top="1065" width="78.6" height="12.6" align-x="709.2" align-y="1074" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:minus/>
						<ml:real>51.3</ml:real>
						<ml:real>67</ml:real>
					</ml:apply>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>-15.700000000000003</ml:real>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="158"/>
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		<region region-id="727" left="2250" top="1071" width="105" height="16.2" align-x="2311.8" align-y="1080" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:real>260</ml:real>
								<ml:id xml:space="preserve">mL</ml:id>
							</ml:apply>
							<ml:id xml:space="preserve">g</ml:id>
						</ml:apply>
						<ml:id xml:space="preserve" subscript="sw">ρ</ml:id>
					</ml:apply>
					<ml:unitOverride>
						<ml:id xml:space="preserve">lbf</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.58810513060437941</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="pound_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="159"/>
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		<region region-id="219" left="30" top="1077" width="90.6" height="12.6" align-x="62.4" align-y="1086" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Energy</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve">Force</ml:id>
						<ml:id xml:space="preserve">Length</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="160"/>
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		<region region-id="220" left="162" top="1072.2" width="94.2" height="17.4" align-x="193.2" align-y="1086" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Energy</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>11120.554038151249</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="joule"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="161"/>
		</region>
		<region region-id="726" left="2400" top="1077" width="89.4" height="12.6" align-x="2446.2" align-y="1086" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">BFPerInch</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">lbf</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>1.0480334692971298</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="pound_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="162"/>
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		<region region-id="728" left="2298" top="1101" width="123.6" height="16.2" align-x="2383.8" align-y="1110" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="tensile">PEEKBolt6mm</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>1670</ml:real>
						<ml:id xml:space="preserve">N</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="163"/>
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		<region region-id="221" left="30" top="1107" width="159" height="16.2" align-x="125.4" align-y="1116" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="energy">ElectrochemQTC</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:mult/>
									<ml:real>3.6</ml:real>
									<ml:id xml:space="preserve">V</ml:id>
								</ml:apply>
								<ml:real>27</ml:real>
							</ml:apply>
							<ml:id xml:space="preserve">A</ml:id>
						</ml:apply>
						<ml:id xml:space="preserve">hr</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="164"/>
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		<region region-id="222" left="222" top="1102.2" width="157.2" height="21" align-x="316.2" align-y="1116" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="energy">ElectrochemQTC</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>349920</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="joule"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="165"/>
		</region>
		<region region-id="847" left="222" top="1138.2" width="182.4" height="21" align-x="328.8" align-y="1152" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:mult/>
						<ml:real>56</ml:real>
						<ml:id xml:space="preserve" subscript="energy">ElectrochemQTC</ml:id>
					</ml:apply>
					<ml:unitOverride>
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve">W</ml:id>
							<ml:id xml:space="preserve">hr</ml:id>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>5443.2</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="hour"/>
								<unitReference unit="watt"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="166"/>
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		<region region-id="1323" left="516" top="1143" width="163.2" height="16.2" align-x="583.8" align-y="1152" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="measured">Energy</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:mult/>
									<ml:apply>
										<ml:mult/>
										<ml:apply>
											<ml:mult/>
											<ml:real>24</ml:real>
											<ml:id xml:space="preserve">V</ml:id>
										</ml:apply>
										<ml:real>2.5</ml:real>
									</ml:apply>
									<ml:id xml:space="preserve">A</ml:id>
								</ml:apply>
								<ml:real>10</ml:real>
							</ml:apply>
							<ml:id xml:space="preserve">sec</ml:id>
						</ml:apply>
						<ml:real>5.2</ml:real>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="167"/>
		</region>
		<region region-id="730" left="2298" top="1143" width="137.4" height="16.2" align-x="2382.6" align-y="1152" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="tensile">PEEKBolt6mm</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">lbf</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>375.43093497651654</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="pound_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="168"/>
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		<region region-id="223" left="30" top="1161" width="39" height="12.6" align-x="48.6" align-y="1170" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Eff</ml:id>
					<ml:real>0.5</ml:real>
				</ml:define>
			</math>
			<rendering item-idref="169"/>
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		<region region-id="1479" left="516" top="1162.2" width="124.8" height="21" align-x="582.6" align-y="1176" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="measured">Energy</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>3120</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="joule"/>
							</unitMonomial>
						</unitedValue>
					</result>
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			</math>
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		<region region-id="1480" left="678" top="1156.8" width="136.2" height="34.2" align-x="774.6" align-y="1176" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve" subscript="energy">ElectrochemQTC</ml:id>
						<ml:apply>
							<ml:mult/>
							<ml:real>2</ml:real>
							<ml:id xml:space="preserve" subscript="measured">Energy</ml:id>
						</ml:apply>
					</ml:apply>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>56.07692307692308</ml:real>
					</result>
				</ml:eval>
			</math>
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		<region region-id="1483" left="30" top="1197" width="112.2" height="16.2" align-x="108" align-y="1206" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="energy">measuredBE</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>6595</ml:real>
						<ml:id xml:space="preserve">J</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="172"/>
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		<region region-id="224" left="30" top="1234.8" width="216" height="34.2" align-x="132.6" align-y="1254" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="BE">NumProfilesPerBattery</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve" subscript="energy">ElectrochemQTC</ml:id>
							<ml:id xml:space="preserve">Eff</ml:id>
						</ml:apply>
						<ml:id xml:space="preserve" subscript="energy">measuredBE</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="173"/>
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		<region region-id="225" left="264" top="1245" width="141" height="16.2" align-x="365.4" align-y="1254" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="BE">NumProfilesPerBattery</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>26.529188779378316</ml:real>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="174"/>
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		<region region-id="1466" left="480" top="1251" width="90.6" height="16.2" align-x="528.6" align-y="1260" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="energy">Proc</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:real>2</ml:real>
							<ml:real>2080</ml:real>
						</ml:apply>
						<ml:id xml:space="preserve">J</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="175"/>
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		<region region-id="1467" left="612" top="1251" width="91.8" height="16.2" align-x="669.6" align-y="1260" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="energy">SBE41</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>2860</ml:real>
						<ml:id xml:space="preserve">J</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="176"/>
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		<region region-id="1471" left="720" top="1251" width="108" height="16.2" align-x="793.8" align-y="1260" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="energy">IridiumGPS</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>2140</ml:real>
						<ml:id xml:space="preserve">J</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="177"/>
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		<region region-id="1474" left="852" top="1251" width="85.8" height="16.2" align-x="903.6" align-y="1260" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="energy">ISUS</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>2970</ml:real>
						<ml:id xml:space="preserve">J</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="178"/>
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		<region region-id="1476" left="966" top="1251" width="84" height="16.2" align-x="1025.4" align-y="1260" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="energy">Optode</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>90</ml:real>
						<ml:id xml:space="preserve">J</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="179"/>
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		<region region-id="1477" left="486" top="1281" width="365.4" height="16.2" align-x="544.8" align-y="1290" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="energy">NonBE</ml:id>
					<ml:apply>
						<ml:plus/>
						<ml:apply>
							<ml:plus/>
							<ml:apply>
								<ml:plus/>
								<ml:apply>
									<ml:plus/>
									<ml:id xml:space="preserve" subscript="energy">Proc</ml:id>
									<ml:id xml:space="preserve" subscript="energy">IridiumGPS</ml:id>
								</ml:apply>
								<ml:id xml:space="preserve" subscript="energy">ISUS</ml:id>
							</ml:apply>
							<ml:id xml:space="preserve" subscript="energy">Optode</ml:id>
						</ml:apply>
						<ml:id xml:space="preserve" subscript="energy">SBE41</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="180"/>
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		<region region-id="226" left="36" top="1287" width="90.6" height="12.6" align-x="103.8" align-y="1296" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">ProfilesRequired</ml:id>
					<ml:real>350</ml:real>
				</ml:define>
			</math>
			<rendering item-idref="181"/>
		</region>
		<region region-id="1478" left="894" top="1282.2" width="120.6" height="21" align-x="951.6" align-y="1296" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="energy">NonBE</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>12220</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="joule"/>
							</unitMonomial>
						</unitedValue>
					</result>
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			</math>
			<rendering item-idref="182"/>
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		<region region-id="227" left="36" top="1304.4" width="215.4" height="30.6" align-x="145.2" align-y="1320" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="BE">NumBatteriesPerMission</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve">ProfilesRequired</ml:id>
						<ml:id xml:space="preserve" subscript="BE">NumProfilesPerBattery</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="183"/>
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		<region region-id="228" left="264" top="1311" width="147.6" height="16.2" align-x="372" align-y="1320" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="BE">NumBatteriesPerMission</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>13.193015546410608</ml:real>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="184"/>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="nonBE">NumBatteriesPerMission</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve">ProfilesRequired</ml:id>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve" subscript="energy">NonBE</ml:id>
							<ml:id xml:space="preserve" subscript="energy">ElectrochemQTC</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="185"/>
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		<region region-id="1487" left="792" top="1323" width="160.8" height="16.2" align-x="913.2" align-y="1332" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="nonBE">NumBatteriesPerMission</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>12.222793781435756</ml:real>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="186"/>
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		<region region-id="1435" left="24" top="1353" width="115.8" height="12.6" align-x="104.4" align-y="1362" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">APF9WakeCurrent</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>.008</ml:real>
						<ml:id xml:space="preserve">A</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="187"/>
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		<region region-id="1440" left="162" top="1353" width="88.2" height="12.6" align-x="220.2" align-y="1362" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">APF9Voltage</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>3.3</ml:real>
						<ml:id xml:space="preserve">V</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="188"/>
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		<region region-id="1436" left="24" top="1377" width="89.4" height="12.6" align-x="79.2" align-y="1386" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">APF9Energy</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>2080</ml:real>
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					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="189"/>
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		<region region-id="1438" left="30" top="1400.4" width="197.4" height="27" align-x="89.4" align-y="1416" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">APF9OnTime</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve">APF9Energy</ml:id>
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve">APF9WakeCurrent</ml:id>
							<ml:id xml:space="preserve">APF9Voltage</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="190"/>
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		<region region-id="1441" left="288" top="1402.2" width="126" height="17.4" align-x="346.2" align-y="1416" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">APF9OnTime</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">sec</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>78787.878787878784</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="second"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="191"/>
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		<region region-id="1444" left="450" top="1412.4" width="109.8" height="27" align-x="510.6" align-y="1428" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve">APF9OnTime</ml:id>
						<ml:real>257</ml:real>
					</ml:apply>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>306.567621742719</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="second"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="192"/>
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		<region region-id="1445" left="636" top="1412.4" width="89.4" height="41.4" align-x="674.4" align-y="1428" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:div/>
						<ml:apply>
							<ml:mult/>
							<ml:real>1000</ml:real>
							<ml:id xml:space="preserve">m</ml:id>
						</ml:apply>
						<ml:apply>
							<ml:mult/>
							<ml:real>10</ml:real>
							<ml:apply>
								<ml:div/>
								<ml:id xml:space="preserve">cm</ml:id>
								<ml:id xml:space="preserve">sec</ml:id>
							</ml:apply>
						</ml:apply>
					</ml:apply>
					<ml:unitOverride>
						<ml:id xml:space="preserve">sec</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>10000</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="second"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="193"/>
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		<region region-id="1449" left="1020" top="1412.4" width="88.8" height="27" align-x="1065.6" align-y="1428" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:div/>
						<ml:apply>
							<ml:mult/>
							<ml:real>.4</ml:real>
							<ml:id xml:space="preserve">J</ml:id>
						</ml:apply>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:mult/>
									<ml:real>5</ml:real>
									<ml:id xml:space="preserve">sec</ml:id>
								</ml:apply>
								<ml:real>5</ml:real>
							</ml:apply>
							<ml:id xml:space="preserve">V</ml:id>
						</ml:apply>
					</ml:apply>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.016</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="ampere"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="194"/>
		</region>
		<region region-id="1446" left="804" top="1418.4" width="95.4" height="27" align-x="864.6" align-y="1434" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve">APF9OnTime</ml:id>
						<ml:apply>
							<ml:mult/>
							<ml:real>10000</ml:real>
							<ml:id xml:space="preserve">sec</ml:id>
						</ml:apply>
					</ml:apply>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>7.878787878787878</ml:real>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="195"/>
		</region>
		<region region-id="956" left="6" top="1443.6" width="226.2" height="18" align-x="19.8" align-y="1458" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="16">
						<b>Benthic Boundary Layer Calcs</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="1913" left="330" top="1473" width="64.2" height="16.2" align-x="366" align-y="1482" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="float">Dia</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>12</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="196"/>
		</region>
		<region region-id="1914" left="420" top="1473" width="76.2" height="16.2" align-x="468" align-y="1482" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="float">Length</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>42</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="197"/>
		</region>
		<region region-id="1912" left="228" top="1472.4" width="75" height="27" align-x="267.6" align-y="1488" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="current">V</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>10</ml:real>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">cm</ml:id>
							<ml:id xml:space="preserve">sec</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="198"/>
		</region>
		<region region-id="271" left="30" top="1478.4" width="39.6" height="30.6" align-x="43.2" align-y="1494" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">ν</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve">μ</ml:id>
						<ml:id xml:space="preserve" subscript="sw">ρ</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="199"/>
		</region>
		<region region-id="272" left="102" top="1473.6" width="92.4" height="31.8" align-x="114" align-y="1494" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">ν</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>1.364522417153996E-06</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="meter" power-numerator="2"/>
								<unitReference unit="second" power-numerator="-1"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="200"/>
		</region>
		<region region-id="296" left="24" top="1521" width="32.4" height="16.2" align-x="43.2" align-y="1530" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="d">C</ml:id>
					<ml:real>1</ml:real>
				</ml:define>
			</math>
			<rendering item-idref="201"/>
		</region>
		<region region-id="1919" left="96" top="1510.8" width="111" height="30.6" align-x="113.4" align-y="1530" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedBIFunction" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Re</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:id xml:space="preserve" subscript="current">V</ml:id>
								<ml:id xml:space="preserve" subscript="float">Dia</ml:id>
							</ml:apply>
							<ml:id xml:space="preserve" subscript="sw">ρ</ml:id>
						</ml:apply>
						<ml:id xml:space="preserve">μ</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="202"/>
		</region>
		<region region-id="1917" left="336" top="1521" width="123" height="16.2" align-x="378" align-y="1530" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="float">Area</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve" subscript="float">Dia</ml:id>
						<ml:id xml:space="preserve" subscript="float">Length</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="203"/>
		</region>
		<region region-id="1918" left="504" top="1516.2" width="73.8" height="21" align-x="544.8" align-y="1530" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="float">Area</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">ft</ml:id>
							<ml:real>2</ml:real>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>3.4999999999999991</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="foot" power-numerator="2"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="204"/>
		</region>
		<region region-id="1920" left="228" top="1522.2" width="74.4" height="17.4" align-x="244.2" align-y="1536" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Re</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>22337.485714285714</ml:real>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="205"/>
		</region>
		<region region-id="1939" left="474" top="1545" width="127.8" height="16.2" align-x="573.6" align-y="1554" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="diameter">floatBottomPlate</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>14</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="206"/>
		</region>
		<region region-id="300" left="18" top="1554" width="162" height="35.4" align-x="43.2" align-y="1578" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Drag</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:mult/>
									<ml:id xml:space="preserve" subscript="d">C</ml:id>
									<ml:id xml:space="preserve" subscript="float">Area</ml:id>
								</ml:apply>
								<ml:id xml:space="preserve" subscript="sw">ρ</ml:id>
							</ml:apply>
							<ml:apply>
								<ml:pow/>
								<ml:parens>
									<ml:apply>
										<ml:mult style="auto-select"/>
										<ml:real font="0">.7</ml:real>
										<ml:id xml:space="preserve" subscript="current">V</ml:id>
									</ml:apply>
								</ml:parens>
								<ml:real>2.</ml:real>
							</ml:apply>
						</ml:apply>
						<ml:real>2</ml:real>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="207"/>
		</region>
		<region region-id="1923" left="210" top="1569" width="67.2" height="12.6" align-x="234" align-y="1578" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Drag</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.8173563007679997</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="newton"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="208"/>
		</region>
		<region region-id="1932" left="324" top="1569" width="67.2" height="12.6" align-x="348" align-y="1578" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Drag</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">lbf</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.1837490061115431</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="pound_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="209"/>
		</region>
		<region region-id="1940" left="474" top="1564.8" width="153.6" height="30.6" align-x="555" align-y="1584" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">OverturningMoment</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve">Drag</ml:id>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve" subscript="float">Length</ml:id>
							<ml:real>2</ml:real>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="210"/>
		</region>
		<region region-id="1950" left="672" top="1575" width="132" height="12.6" align-x="751.8" align-y="1584" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">OverturningMoment</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve">lbf</ml:id>
							<ml:id xml:space="preserve">ft</ml:id>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.3215607606952004</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="foot"/>
								<unitReference unit="pound_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="211"/>
		</region>
		<region region-id="1942" left="474" top="1598.4" width="191.4" height="30.6" align-x="547.2" align-y="1614" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">reqdAnchorForce</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve">OverturningMoment</ml:id>
						<ml:apply>
							<ml:mult/>
							<ml:real>0.5</ml:real>
							<ml:id xml:space="preserve" subscript="diameter">floatBottomPlate</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="212"/>
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		<region region-id="1951" left="696" top="1605" width="115.2" height="12.6" align-x="768" align-y="1614" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">reqdAnchorForce</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">lbf</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.5512470183346293</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="pound_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="213"/>
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		<region region-id="323" left="24" top="1600.8" width="70.2" height="30.6" align-x="51" align-y="1620" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="star">U</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve" subscript="current">V</ml:id>
						<ml:real>30</ml:real>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="214"/>
		</region>
		<region region-id="324" left="114" top="1611" width="37.8" height="16.2" align-x="131.4" align-y="1620" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="0">k</ml:id>
					<ml:real>.40</ml:real>
				</ml:define>
			</math>
			<rendering item-idref="215"/>
		</region>
		<region region-id="327" left="192" top="1604.4" width="61.2" height="30.6" align-x="207.6" align-y="1620" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">z0</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>0.1</ml:real>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">ν</ml:id>
							<ml:id xml:space="preserve" subscript="star">U</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
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			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">z0</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>4.093567251461988E-05</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="meter"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="217"/>
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		<region region-id="1952" left="696" top="1623" width="115.2" height="12.6" align-x="768" align-y="1632" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">reqdAnchorForce</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>2.4520689023039992</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="newton"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="218"/>
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		<region region-id="1953" left="696" top="1641" width="112.8" height="12.6" align-x="768" align-y="1650" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">reqdAnchorForce</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">kgf</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.250041441501838</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="kilogram_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Law of the wall velocity profile</p>
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								<ml:id xml:space="preserve">z0</ml:id>
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				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
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						<ml:apply>
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				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
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			<math optimize="false" disable-calc="false">
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					<ml:id xml:space="preserve">U</ml:id>
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						<b>Hydraulic Cylinder Calculations</b>
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						<b>Oil Reservoir Calcs</b>
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								<ml:minus/>
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										<ml:apply>
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							<ml:real>2.3561944901923448</ml:real>
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			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="desired">Volume</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>2.5</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="liter"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="246"/>
		</region>
		<region region-id="1297" left="522" top="2031" width="125.4" height="16.2" align-x="554.4" align-y="2040" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="OD">res</ml:id>
					<ml:apply>
						<ml:minus/>
						<ml:apply>
							<ml:mult/>
							<ml:real>6.625</ml:real>
							<ml:id xml:space="preserve">in</ml:id>
						</ml:apply>
						<ml:parens>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:mult/>
									<ml:real>2</ml:real>
									<ml:real>.322</ml:real>
								</ml:apply>
								<ml:id xml:space="preserve">in</ml:id>
							</ml:apply>
						</ml:parens>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="247"/>
		</region>
		<region region-id="1298" left="666" top="2031" width="37.2" height="12.6" align-x="679.8" align-y="2040" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">H</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>8</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="248"/>
		</region>
		<region region-id="1299" left="666" top="2048.4" width="124.2" height="27" align-x="687" align-y="2064" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Vol</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult style="auto-select"/>
							<ml:apply>
								<ml:div/>
								<ml:id xml:space="preserve">π</ml:id>
								<ml:real>4</ml:real>
							</ml:apply>
							<ml:parens>
								<ml:apply>
									<ml:minus/>
									<ml:apply>
										<ml:pow/>
										<ml:id xml:space="preserve" subscript="OD">res</ml:id>
										<ml:real>2</ml:real>
									</ml:apply>
									<ml:apply>
										<ml:pow/>
										<ml:id xml:space="preserve" subscript="ID">res</ml:id>
										<ml:real font="0">2</ml:real>
									</ml:apply>
								</ml:apply>
							</ml:parens>
						</ml:apply>
						<ml:id xml:space="preserve">H</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="249"/>
		</region>
		<region region-id="801" left="24" top="2060.4" width="170.4" height="27" align-x="78" align-y="2076" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math30">
					<originRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="367726548" is-modified="true" region-id="0" xmlns="http://schemas.mathsoft.com/provenance10">
						<hash/>
					</originRef>
					<parentRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="367727788" is-modified="true" region-id="0" xmlns="http://schemas.mathsoft.com/provenance10">
						<hash/>
					</parentRef>
					<comment xmlns="http://schemas.mathsoft.com/provenance10"/>
					<originComment xmlns="http://schemas.mathsoft.com/provenance10"/>
					<contentHash xmlns="http://schemas.mathsoft.com/provenance10">924384431856691f0da2d3b805f339b5</contentHash>
					<ml:define>
						<ml:id xml:space="preserve">maxPressure</ml:id>
						<ml:apply>
							<ml:div/>
							<ml:apply>
								<ml:mult/>
								<ml:id xml:space="preserve">springRate</ml:id>
								<ml:id xml:space="preserve">maxCompression</ml:id>
							</ml:apply>
							<ml:id xml:space="preserve">rodSideArea</ml:id>
						</ml:apply>
					</ml:define>
				</ml:provenance>
			</math>
			<rendering item-idref="250">
				<element-image-map>
					<box left="1.2" top="0.6" width="169.2" height="25.8" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/>
				</element-image-map>
			</rendering>
		</region>
		<region region-id="802" left="228" top="2060.4" width="108.6" height="31.8" align-x="280.8" align-y="2076" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:provenance expr-id="1">
						<originRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="367722748" is-modified="true" region-id="0" xmlns="http://schemas.mathsoft.com/provenance10">
							<hash/>
						</originRef>
						<parentRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="367715788" is-modified="true" region-id="0" xmlns="http://schemas.mathsoft.com/provenance10">
							<hash/>
						</parentRef>
						<comment xmlns="http://schemas.mathsoft.com/provenance10"/>
						<originComment xmlns="http://schemas.mathsoft.com/provenance10"/>
						<contentHash xmlns="http://schemas.mathsoft.com/provenance10">bab69b02af693468f87cba1fd274085e</contentHash>
						<ml:id xml:space="preserve">maxPressure</ml:id>
					</ml:provenance>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">lbf</ml:id>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">in</ml:id>
								<ml:real>2</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>759.5977358617348</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch" power-numerator="-2"/>
								<unitReference unit="pound_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="251">
				<element-image-map>
					<box left="1.2" top="7.2" width="46.2" height="11.4" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/>
				</element-image-map>
			</rendering>
		</region>
		<region region-id="1331" left="852" top="2068.8" width="110.4" height="45" align-x="881.4" align-y="2088" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">height</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:apply>
							<ml:mult/>
							<ml:real>1.5</ml:real>
							<ml:id xml:space="preserve" subscript="desired">Volume</ml:id>
						</ml:apply>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:div/>
								<ml:id xml:space="preserve">π</ml:id>
								<ml:real>4</ml:real>
							</ml:apply>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve" subscript="pancake">resID</ml:id>
								<ml:real>2</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="252"/>
		</region>
		<region region-id="1300" left="666" top="2097" width="61.2" height="12.6" align-x="685.8" align-y="2106" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Vol</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>3.5051820418206794</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="liter"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="253"/>
		</region>
		<region region-id="1713" left="1152" top="2115" width="52.2" height="12.6" align-x="1183.8" align-y="2124" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">resDia</ml:id>
					<ml:apply>
						<ml:mult style="auto-select"/>
						<ml:real>5</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="254"/>
		</region>
		<region region-id="1719" left="1230" top="2115" width="38.4" height="12.6" align-x="1249.2" align-y="2124" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">vol</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>3</ml:real>
						<ml:id xml:space="preserve">l</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="255"/>
		</region>
		<region region-id="814" left="156" top="2121" width="63" height="12.6" align-x="205.8" align-y="2130" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">numSprings</ml:id>
					<ml:real>2</ml:real>
				</ml:define>
			</math>
			<rendering item-idref="256"/>
		</region>
		<region region-id="1335" left="864" top="2127" width="67.8" height="12.6" align-x="892.2" align-y="2136" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">height</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>2.0233813580523963</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="257"/>
		</region>
		<region region-id="808" left="48" top="2138.4" width="84.6" height="27" align-x="93.6" align-y="2154" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">springRate</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>127</ml:real>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">lbf</ml:id>
							<ml:id xml:space="preserve">in</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="258"/>
		</region>
		<region region-id="809" left="156" top="2145" width="197.4" height="12.6" align-x="227.4" align-y="2154" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">maxCompression</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve">numSprings</ml:id>
						<ml:parens>
							<ml:apply>
								<ml:minus/>
								<ml:apply>
									<ml:mult/>
									<ml:real>12.0</ml:real>
									<ml:id xml:space="preserve">in</ml:id>
								</ml:apply>
								<ml:apply>
									<ml:mult/>
									<ml:real>5.13</ml:real>
									<ml:id xml:space="preserve">in</ml:id>
								</ml:apply>
							</ml:apply>
						</ml:parens>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="259"/>
		</region>
		<region region-id="815" left="426" top="2145" width="109.8" height="12.6" align-x="496.2" align-y="2154" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:provenance expr-id="1">
						<originRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="367724028" is-modified="true" region-id="0" xmlns="http://schemas.mathsoft.com/provenance10">
							<hash/>
						</originRef>
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							<hash/>
						</parentRef>
						<comment xmlns="http://schemas.mathsoft.com/provenance10"/>
						<originComment xmlns="http://schemas.mathsoft.com/provenance10"/>
						<contentHash xmlns="http://schemas.mathsoft.com/provenance10">b66f9eed72c0ea17c764987bff1ac7c2</contentHash>
						<ml:id xml:space="preserve">maxCompression</ml:id>
					</ml:provenance>
					<ml:unitOverride>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>13.739999999999997</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="260">
				<element-image-map>
					<box left="1.2" top="0.6" width="63.6" height="11.4" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/>
				</element-image-map>
			</rendering>
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		<region region-id="1716" left="1152" top="2138.4" width="59.4" height="31.8" align-x="1162.2" align-y="2154" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">l</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:apply>
							<ml:mult/>
							<ml:real>4</ml:real>
							<ml:id xml:space="preserve">vol</ml:id>
						</ml:apply>
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve">π</ml:id>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">resDia</ml:id>
								<ml:real>2</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="261"/>
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		<region region-id="1720" left="1248" top="2145" width="48.6" height="12.6" align-x="1257" align-y="2154" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">l</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>9.32374129790544</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="262"/>
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		<region region-id="811" left="48" top="2180.4" width="170.4" height="27" align-x="102" align-y="2196" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math30">
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					<originComment xmlns="http://schemas.mathsoft.com/provenance10"/>
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					<ml:define warning="WarnRedefinedUDScalar">
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							<ml:div/>
							<ml:apply>
								<ml:mult/>
								<ml:id xml:space="preserve">springRate</ml:id>
								<ml:id xml:space="preserve">maxCompression</ml:id>
							</ml:apply>
							<ml:id xml:space="preserve">rodSideArea</ml:id>
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					</ml:define>
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			</math>
			<rendering item-idref="263">
				<element-image-map>
					<box left="1.2" top="0.6" width="169.2" height="25.8" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/>
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			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:provenance expr-id="1">
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						<contentHash xmlns="http://schemas.mathsoft.com/provenance10">bab69b02af693468f87cba1fd274085e</contentHash>
						<ml:id xml:space="preserve">maxPressure</ml:id>
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							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">in</ml:id>
								<ml:real>2</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>740.59251359065468</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch" power-numerator="-2"/>
								<unitReference unit="pound_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="264">
				<element-image-map>
					<box left="1.2" top="7.2" width="46.2" height="11.4" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/>
				</element-image-map>
			</rendering>
		</region>
		<region region-id="1271" left="522" top="2247.6" width="141.6" height="18" align-x="530.4" align-y="2262" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="16">
						<b>Drag Calculations</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="986" left="12" top="2253.6" width="129" height="18" align-x="27.6" align-y="2268" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="16">
						<b>Terminal Velocity</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="2361" left="222" top="2250" width="106.8" height="35.4" align-x="301.2" align-y="2274" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:pow/>
						<ml:parens>
							<ml:apply>
								<ml:div/>
								<ml:apply>
									<ml:mult/>
									<ml:id xml:space="preserve" subscript="housing">Area</ml:id>
									<ml:real>4</ml:real>
								</ml:apply>
								<ml:id xml:space="preserve">π</ml:id>
							</ml:apply>
						</ml:parens>
						<ml:real>.5</ml:real>
					</ml:apply>
					<ml:unitOverride>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>11.999999999999998</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch"/>
							</unitMonomial>
						</unitedValue>
					</result>
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			</math>
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		<region region-id="2362" left="372" top="2265" width="44.4" height="16.2" align-x="391.2" align-y="2274" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="d">C</ml:id>
					<ml:real>0.81</ml:real>
				</ml:define>
			</math>
			<rendering item-idref="266"/>
		</region>
		<region region-id="2359" left="60" top="2271" width="42.6" height="12.6" align-x="73.2" align-y="2280" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">B</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>1</ml:real>
						<ml:id xml:space="preserve">kgf</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="267"/>
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		<region region-id="2065" left="1122" top="2270.4" width="71.4" height="31.8" align-x="1150.2" align-y="2286" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="fluid">ρ</ml:id>
					<ml:apply>
						<ml:mult style="auto-select"/>
						<ml:real>1000</ml:real>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">kg</ml:id>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">m</ml:id>
								<ml:real font="0">3</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="268"/>
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		<region region-id="2059" left="1230" top="2277" width="59.4" height="12.6" align-x="1261.2" align-y="2286" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Height</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>40</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="269"/>
		</region>
		<region region-id="2057" left="1230" top="2289" width="63.6" height="12.6" align-x="1270.2" align-y="2298" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Diameter</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>8</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="270"/>
		</region>
		<region region-id="1113" left="36" top="2289.6" width="154.2" height="35.4" align-x="78.6" align-y="2310" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="terminal">V</ml:id>
					<ml:apply>
						<ml:pow/>
						<ml:parens>
							<ml:apply>
								<ml:div/>
								<ml:apply>
									<ml:mult/>
									<ml:id xml:space="preserve">B</ml:id>
									<ml:real>2</ml:real>
								</ml:apply>
								<ml:apply>
									<ml:mult/>
									<ml:apply>
										<ml:mult/>
										<ml:id xml:space="preserve" subscript="d">C</ml:id>
										<ml:id xml:space="preserve" subscript="housing">Area</ml:id>
									</ml:apply>
									<ml:id xml:space="preserve" subscript="sw">ρ</ml:id>
								</ml:apply>
							</ml:apply>
						</ml:parens>
						<ml:real>0.5</ml:real>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="271"/>
		</region>
		<region region-id="1114" left="204" top="2294.4" width="97.8" height="27" align-x="245.4" align-y="2310" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:provenance expr-id="1">
						<originRef doc-id="28612C6A-014D-4472-85B9-A1DDD94A678F" version-id="E87AE82E-F816-4334-8475-B9D66D443527" branch-id="00000000-0000-0000-0000-000000000000" revision-num="367723508" is-modified="true" region-id="0" href="O:\Calcs\profilerMotor.xmcd" xmlns="http://schemas.mathsoft.com/provenance10">
							<hash/>
						</originRef>
						<parentRef doc-id="A64E84B6-1662-4FDD-BCF2-A2E83CB4BC43" version-id="B43AB5CA-7D85-48C6-9EB8-C36A11A45E29" branch-id="00000000-0000-0000-0000-000000000000" revision-num="367728788" is-modified="false" region-id="0" href="Q:\Calcs\VelocityProfile.xmcd" xmlns="http://schemas.mathsoft.com/provenance10">
							<hash/>
						</parentRef>
						<comment xmlns="http://schemas.mathsoft.com/provenance10"/>
						<originComment xmlns="http://schemas.mathsoft.com/provenance10"/>
						<contentHash xmlns="http://schemas.mathsoft.com/provenance10">30331ae0f7c6354fd85acec370de433a</contentHash>
						<ml:id xml:space="preserve" subscript="terminal">V</ml:id>
					</ml:provenance>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">m</ml:id>
							<ml:id xml:space="preserve">sec</ml:id>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.56872097065120164</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="meter"/>
								<unitReference unit="second" power-numerator="-1"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
				<resultFormat numeric-only="true">
					<general precision="5" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/>
					<matrix display-style="auto" expand-nested-arrays="false"/>
					<unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/>
				</resultFormat>
			</math>
			<rendering item-idref="272">
				<element-image-map>
					<box left="1.2" top="7.2" width="34.8" height="15" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/>
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		<region region-id="2360" left="324" top="2294.4" width="94.8" height="27" align-x="365.4" align-y="2310" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="terminal">V</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">m</ml:id>
							<ml:id xml:space="preserve">min</ml:id>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>34.1232582390721</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="meter"/>
								<unitReference unit="minute" power-numerator="-1"/>
							</unitMonomial>
						</unitedValue>
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			</math>
			<rendering item-idref="273"/>
		</region>
		<region region-id="2052" left="1236" top="2307" width="106.2" height="12.6" align-x="1273.8" align-y="2316" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">CSArea</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve">Diameter</ml:id>
						<ml:id xml:space="preserve">Height</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="274"/>
		</region>
		<region region-id="2069" left="1368" top="2300.4" width="72.6" height="27" align-x="1405.2" align-y="2316" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Velocity</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>20</ml:real>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">cm</ml:id>
							<ml:id xml:space="preserve">sec</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="275"/>
		</region>
		<region region-id="1279" left="540" top="2314.2" width="98.4" height="21" align-x="601.2" align-y="2328" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="projected">Area</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>519</ml:real>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">in</ml:id>
							<ml:real>2</ml:real>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="276"/>
		</region>
		<region region-id="1280" left="654" top="2319" width="82.8" height="16.2" align-x="696.6" align-y="2328" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="z">Centroid</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>22.63</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="277"/>
		</region>
		<region region-id="1281" left="738" top="2312.4" width="97.8" height="27" align-x="800.4" align-y="2328" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="velocity">Current</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>19</ml:real>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">cm</ml:id>
							<ml:id xml:space="preserve">sec</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="278"/>
		</region>
		<region region-id="1282" left="864" top="2319" width="82.2" height="12.6" align-x="919.2" align-y="2328" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">verticalForce</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>2</ml:real>
						<ml:id xml:space="preserve">lbf</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="279"/>
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		<region region-id="2622" left="336" top="2318.4" width="87.6" height="27" align-x="377.4" align-y="2334" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="terminal">V</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.56872097065120164</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="meter"/>
								<unitReference unit="second" power-numerator="-1"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="280"/>
		</region>
		<region region-id="2062" left="1230" top="2325" width="48" height="16.2" align-x="1248" align-y="2334" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="d">C</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>0.81</ml:real>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="281"/>
		</region>
		<region region-id="1115" left="12" top="2337" width="126" height="10.8" align-x="21.6" align-y="2346" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Solve for the Reynolds number</p>
			</text>
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		<region region-id="2621" left="216" top="2337" width="93.6" height="16.2" align-x="282" align-y="2346" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="housing">Diameter</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>11.999999999999998</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="282"/>
		</region>
		<region region-id="1283" left="546" top="2350.2" width="229.2" height="21" align-x="625.2" align-y="2364" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="force">horizontalDrag</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:id xml:space="preserve" subscript="d">C</ml:id>
								<ml:id xml:space="preserve" subscript="housing">Area</ml:id>
							</ml:apply>
							<ml:id xml:space="preserve" subscript="sw">ρ</ml:id>
						</ml:apply>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve" subscript="velocity">Current</ml:id>
							<ml:real>2</ml:real>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="283"/>
		</region>
		<region region-id="1284" left="804" top="2355" width="121.2" height="16.2" align-x="882" align-y="2364" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="force">horizontalDrag</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">lbf</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.4921222173354467</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="pound_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="284"/>
		</region>
		<region region-id="2048" left="1242" top="2340" width="164.4" height="35.4" align-x="1288.8" align-y="2364" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">DragForce</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:mult/>
									<ml:id xml:space="preserve" subscript="d">C</ml:id>
									<ml:id xml:space="preserve">CSArea</ml:id>
								</ml:apply>
								<ml:id xml:space="preserve" subscript="fluid">ρ</ml:id>
							</ml:apply>
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								<ml:pow/>
								<ml:id xml:space="preserve">cm</ml:id>
								<ml:real>3</ml:real>
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							<ml:id xml:space="preserve">rev</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
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				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
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							<ml:matrix rows="1" cols="9">
								<ml:real>2.4828171122335679E-05</ml:real>
								<ml:real>3.2785918276930446E-05</ml:real>
								<ml:real>4.12211302608009E-05</ml:real>
								<ml:real>4.9497187301579463E-05</ml:real>
								<ml:real>5.50676103097958E-05</ml:real>
								<ml:real>6.6367611269320368E-05</ml:real>
								<ml:real>8.26014154646937E-05</ml:real>
								<ml:real>0.00011013522061959159</ml:real>
								<ml:real>0.00013766902577448949</ml:real>
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								<unitReference unit="liter"/>
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				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">vol</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>3.0</ml:real>
						<ml:id xml:space="preserve">L</ml:id>
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				</ml:define>
			</math>
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			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">rpm</ml:id>
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						<ml:mult/>
						<ml:real>1500</ml:real>
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							<ml:id xml:space="preserve">min</ml:id>
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				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
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							<ml:matrix rows="1" cols="9">
								<ml:real>175846.15384615379</ml:real>
								<ml:real>133165.04854368928</ml:real>
								<ml:real>105915.05791505787</ml:real>
								<ml:real>88205.78778135046</ml:real>
								<ml:real>79283.236994219638</ml:real>
								<ml:real>65784.172661870485</ml:real>
								<ml:real>52855.491329479744</ml:real>
								<ml:real>39641.618497109819</ml:real>
								<ml:real>31713.294797687849</ml:real>
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								<unitReference unit="meter" power-numerator="-2"/>
								<unitReference unit="second"/>
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			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="16">
						<b>New Float Weight</b>
					</f>
				</p>
			</text>
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						<ml:id xml:space="preserve" subscript="data">oildyne</ml:id>
						<ml:sequence>
							<ml:real>9</ml:real>
							<ml:real>1</ml:real>
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					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>0.15</ml:real>
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					<ml:id xml:space="preserve" subscript="wt">housing</ml:id>
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						<ml:real>40</ml:real>
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					<ml:id xml:space="preserve">oilDensity</ml:id>
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						<ml:mult/>
						<ml:real font="0">0.0008</ml:real>
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							<ml:id xml:space="preserve">mL</ml:id>
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							<ml:apply>
								<ml:pow/>
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								<ml:real>3</ml:real>
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						<unitedValue>
							<ml:real>800.00000000000011</ml:real>
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								<unitReference unit="kilogram_force"/>
								<unitReference unit="meter" power-numerator="-3"/>
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						<ml:real>9.8</ml:real>
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								<ml:pow/>
								<ml:id xml:space="preserve">m</ml:id>
								<ml:real>3</ml:real>
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					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>76884.136000000013</ml:real>
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								<unitReference unit="meter" power-numerator="-3"/>
								<unitReference unit="newton"/>
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			<math optimize="false" disable-calc="false">
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								<ml:real>9</ml:real>
								<ml:real>1</ml:real>
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				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
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						<unitedValue>
							<ml:real>111.85498073734054</ml:real>
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								<unitReference unit="watt"/>
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					<ml:id xml:space="preserve" subscript="wt">oil</ml:id>
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						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:real>3000</ml:real>
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						<ml:id xml:space="preserve">oilDensity</ml:id>
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			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
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					<ml:unitOverride>
						<ml:id xml:space="preserve">lbf</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>5.2910942924370632</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="pound_force"/>
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			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
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						<ml:mult/>
						<ml:real>1</ml:real>
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						<ml:id xml:space="preserve">kgf</ml:id>
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					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.10197162129779283</ml:real>
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								<unitReference unit="kilogram_force"/>
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				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="reqd">torque</ml:id>
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						<ml:div/>
						<ml:id xml:space="preserve" subscript="power">pump</ml:id>
						<ml:apply>
							<ml:mult/>
							<ml:real>1500</ml:real>
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								<ml:div/>
								<ml:id xml:space="preserve">rev</ml:id>
								<ml:id xml:space="preserve">min</ml:id>
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			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
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						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve">N</ml:id>
							<ml:id xml:space="preserve">m</ml:id>
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						<unitedValue>
							<ml:real>0.71209092375185934</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="meter"/>
								<unitReference unit="newton"/>
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			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
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						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve">ozf</ml:id>
							<ml:id xml:space="preserve">in</ml:id>
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					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>100.84057194302491</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch"/>
								<unitReference unit="ounce_force"/>
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					<ml:id xml:space="preserve" subscript="wt">BE</ml:id>
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						<ml:real>5</ml:real>
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						<ml:apply>
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							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">in</ml:id>
								<ml:real>3</ml:real>
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						<unitedValue>
							<ml:real>0.028901833600066953</ml:real>
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								<unitReference unit="inch" power-numerator="-3"/>
								<unitReference unit="pound_force"/>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="wt">ISUS</ml:id>
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						<ml:mult/>
						<ml:real>1.6</ml:real>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="wt">aadiOptode</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>.175</ml:real>
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				</ml:define>
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		<region region-id="1405" left="570" top="3759" width="81" height="16.2" align-x="609.6" align-y="3768" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="wt">FLBB</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>.578</ml:real>
						<ml:id xml:space="preserve">kgf</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="368"/>
		</region>
		<region region-id="1206" left="72" top="3771" width="63" height="16.2" align-x="103.2" align-y="3780" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="wt">elex</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>12</ml:real>
						<ml:id xml:space="preserve">lbf</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="369"/>
		</region>
		<region region-id="1269" left="966" top="3771" width="99" height="16.2" align-x="1012.8" align-y="3780" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="reqd">torque</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve">ft</ml:id>
							<ml:id xml:space="preserve">lbf</ml:id>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.52521131220325468</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="foot"/>
								<unitReference unit="pound_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="370"/>
		</region>
		<region region-id="1401" left="426" top="3777" width="79.8" height="16.2" align-x="478.8" align-y="3786" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="wt">seabird41</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>2</ml:real>
						<ml:id xml:space="preserve">lbf</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="371"/>
		</region>
		<region region-id="1404" left="552" top="3777" width="55.8" height="16.2" align-x="580.8" align-y="3786" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="wt">pH</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>1</ml:real>
						<ml:id xml:space="preserve">lbf</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="372"/>
		</region>
		<region region-id="1207" left="192" top="3783" width="65.4" height="16.2" align-x="225.6" align-y="3792" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="wt">misc</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>10</ml:real>
						<ml:id xml:space="preserve">lbf</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="373"/>
		</region>
		<region region-id="1208" left="72" top="3801" width="317.4" height="16.2" align-x="126" align-y="3810" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="wt">instrument</ml:id>
					<ml:apply>
						<ml:plus/>
						<ml:apply>
							<ml:plus/>
							<ml:apply>
								<ml:plus/>
								<ml:apply>
									<ml:plus/>
									<ml:apply>
										<ml:plus/>
										<ml:id xml:space="preserve" subscript="wt">aadiOptode</ml:id>
										<ml:id xml:space="preserve" subscript="wt">seabird41</ml:id>
									</ml:apply>
									<ml:id xml:space="preserve" subscript="wt">pH</ml:id>
								</ml:apply>
								<ml:id xml:space="preserve" subscript="wt">ISUS</ml:id>
							</ml:apply>
							<ml:id xml:space="preserve" subscript="wt">FLBB</ml:id>
						</ml:apply>
						<ml:apply>
							<ml:mult/>
							<ml:real>5</ml:real>
							<ml:id xml:space="preserve">lbf</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="374"/>
		</region>
		<region region-id="1406" left="396" top="3813" width="100.8" height="16.2" align-x="448.8" align-y="3822" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="wt">instrument</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">lbf</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>13.187477029210168</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="pound_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="375"/>
		</region>
		<region region-id="1398" left="66" top="3825" width="72.6" height="12.6" align-x="120.6" align-y="3834" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">numBatteries</ml:id>
					<ml:real>25</ml:real>
				</ml:define>
			</math>
			<rendering item-idref="376"/>
		</region>
		<region region-id="1491" left="996" top="3825" width="105" height="10.8" align-x="1009.8" align-y="3834" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">filament wound fiberglass</p>
			</text>
		</region>
		<region region-id="1403" left="774" top="3831" width="52.8" height="12.6" align-x="801" align-y="3840" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">index</ml:id>
					<ml:range>
						<ml:real>1</ml:real>
						<ml:real>7</ml:real>
					</ml:range>
				</ml:define>
			</math>
			<rendering item-idref="377"/>
		</region>
		<region region-id="1488" left="1020" top="3842.4" width="93" height="31.8" align-x="1066.8" align-y="3858" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:mult style="auto-select"/>
						<ml:real>.0018</ml:real>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">kgf</ml:id>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">cm</ml:id>
								<ml:real>3</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:apply>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">lbf</ml:id>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">in</ml:id>
								<ml:real>3</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.065029125600150631</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch" power-numerator="-3"/>
								<unitReference unit="pound_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="378"/>
		</region>
		<region region-id="1209" left="72" top="3855" width="139.2" height="16.2" align-x="114.6" align-y="3864" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="wt">battery</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve">numBatteries</ml:id>
							<ml:real>0.213</ml:real>
						</ml:apply>
						<ml:id xml:space="preserve">kgf</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="379"/>
		</region>
		<region region-id="1399" left="240" top="3855" width="84.6" height="16.2" align-x="281.4" align-y="3864" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="wt">battery</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">lbf</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>11.739615461344732</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="pound_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="380"/>
		</region>
		<region region-id="1210" left="36" top="3885" width="314.4" height="16.2" align-x="68.4" align-y="3894" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="wt">total</ml:id>
					<ml:apply>
						<ml:plus/>
						<ml:apply>
							<ml:plus/>
							<ml:apply>
								<ml:plus/>
								<ml:apply>
									<ml:plus/>
									<ml:apply>
										<ml:plus/>
										<ml:apply>
											<ml:plus/>
											<ml:id xml:space="preserve" subscript="wt">housing</ml:id>
											<ml:id xml:space="preserve" subscript="wt">oil</ml:id>
										</ml:apply>
										<ml:id xml:space="preserve" subscript="wt">BE</ml:id>
									</ml:apply>
									<ml:id xml:space="preserve" subscript="wt">elex</ml:id>
								</ml:apply>
								<ml:id xml:space="preserve" subscript="wt">instrument</ml:id>
							</ml:apply>
							<ml:id xml:space="preserve" subscript="wt">battery</ml:id>
						</ml:apply>
						<ml:id xml:space="preserve" subscript="wt">misc</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="381"/>
		</region>
		<region region-id="1489" left="1026" top="3878.4" width="114" height="31.8" align-x="1070.4" align-y="3894" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:mult/>
						<ml:real>220</ml:real>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">N</ml:id>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">mm</ml:id>
								<ml:real>2</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:apply>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">lbf</ml:id>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">in</ml:id>
								<ml:real font="0">2</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>31908.302300646032</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch" power-numerator="-2"/>
								<unitReference unit="pound_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="382"/>
		</region>
		<region region-id="1394" left="702" top="3890.4" width="94.8" height="31.8" align-x="750.6" align-y="3906" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:mult/>
						<ml:real>.0016</ml:real>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">kgf</ml:id>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">cm</ml:id>
								<ml:real>3</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:apply>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">lbf</ml:id>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">in</ml:id>
								<ml:real>3</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.057803667200133892</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch" power-numerator="-3"/>
								<unitReference unit="pound_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="383"/>
		</region>
		<region region-id="1386" left="474" top="3903" width="36.6" height="12.6" align-x="484.8" align-y="3912" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">z</ml:id>
					<ml:range>
						<ml:real>0</ml:real>
						<ml:real>6</ml:real>
					</ml:range>
				</ml:define>
			</math>
			<rendering item-idref="384"/>
		</region>
		<region region-id="1384" left="498" top="3921" width="55.8" height="148.8" align-x="520.8" align-y="3936" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedBIFunction" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:indexer/>
						<ml:id xml:space="preserve">histogram</ml:id>
						<ml:id xml:space="preserve">z</ml:id>
					</ml:apply>
					<ml:sequence>
						<ml:id xml:space="preserve" subscript="wt">housing</ml:id>
						<ml:id xml:space="preserve" subscript="wt">oil</ml:id>
						<ml:id xml:space="preserve" subscript="wt">BE</ml:id>
						<ml:id xml:space="preserve" subscript="wt">elex</ml:id>
						<ml:id xml:space="preserve" subscript="wt">instrument</ml:id>
						<ml:id xml:space="preserve" subscript="wt">battery</ml:id>
						<ml:id xml:space="preserve" subscript="wt">misc</ml:id>
					</ml:sequence>
				</ml:define>
			</math>
			<rendering item-idref="385"/>
		</region>
		<region region-id="1211" left="36" top="3939" width="79.2" height="16.2" align-x="67.2" align-y="3948" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="wt">total</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">lbf</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>97.218186782991978</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="pound_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="386"/>
		</region>
		<region region-id="1338" left="144" top="3939" width="81.6" height="16.2" align-x="175.2" align-y="3948" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="wt">total</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">kgf</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>44.09742775</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="kilogram_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="387"/>
		</region>
		<region region-id="1389" left="624" top="3954" width="181.2" height="127.8" align-x="624" align-y="3954" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<plot disable-calc="false" item-idref="388"/>
			<rendering item-idref="389"/>
		</region>
		<region region-id="1393" left="276" top="3957" width="115.8" height="16.2" align-x="341.4" align-y="3966" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:minus/>
						<ml:id xml:space="preserve" subscript="wt">total</ml:id>
						<ml:apply>
							<ml:mult/>
							<ml:real>20</ml:real>
							<ml:id xml:space="preserve">lbf</ml:id>
						</ml:apply>
					</ml:apply>
					<ml:unitOverride>
						<ml:id xml:space="preserve">kgf</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>35.025580350000006</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="kilogram_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="390"/>
		</region>
		<region region-id="1212" left="36" top="3958.8" width="87" height="34.2" align-x="87" align-y="3978" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="reqd">volume</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve" subscript="wt">total</ml:id>
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve">g</ml:id>
							<ml:id xml:space="preserve" subscript="sw">ρ</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="391"/>
		</region>
		<region region-id="1213" left="150" top="3969" width="91.2" height="16.2" align-x="199.8" align-y="3978" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="reqd">volume</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>42.979949074074078</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="liter"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="392"/>
		</region>
		<region region-id="1451" left="408" top="3970.8" width="64.2" height="30.6" align-x="442.2" align-y="3990" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve" subscript="wt">total</ml:id>
						<ml:apply>
							<ml:mult/>
							<ml:real>30</ml:real>
							<ml:id xml:space="preserve">kgf</ml:id>
						</ml:apply>
					</ml:apply>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>1.4699142583333333</ml:real>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="393"/>
		</region>
		<region region-id="1392" left="300" top="3992.4" width="80.4" height="30.6" align-x="339" align-y="4008" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:mult/>
						<ml:real>1</ml:real>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">lbf</ml:id>
							<ml:apply>
								<ml:mult/>
								<ml:id xml:space="preserve">g</ml:id>
								<ml:id xml:space="preserve" subscript="sw">ρ</ml:id>
							</ml:apply>
						</ml:apply>
					</ml:apply>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.44209782651072121</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="liter"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="394"/>
		</region>
		<region region-id="1220" left="12" top="4005.6" width="131.4" height="18" align-x="21" align-y="4020" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="16">
						<b>Lead Screw Calcs</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="1221" left="54" top="4058.4" width="52.2" height="31.8" align-x="66.6" align-y="4074" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">P</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>750</ml:real>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">lbf</ml:id>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">in</ml:id>
								<ml:real>2</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="395"/>
		</region>
		<region region-id="1222" left="156" top="4065" width="64.2" height="16.2" align-x="196.8" align-y="4074" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="dia">piston</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>8</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="396"/>
		</region>
		<region region-id="1223" left="264" top="4058.4" width="91.2" height="27" align-x="290.4" align-y="4074" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">force</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult style="auto-select"/>
							<ml:id xml:space="preserve">P</ml:id>
							<ml:apply>
								<ml:div/>
								<ml:id xml:space="preserve">π</ml:id>
								<ml:real>4</ml:real>
							</ml:apply>
						</ml:apply>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve" subscript="dia">piston</ml:id>
							<ml:real>2</ml:real>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="397"/>
		</region>
		<region region-id="1224" left="270" top="4084.2" width="87" height="17.4" align-x="295.2" align-y="4098" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">force</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">lbf</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>37699.111843077517</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="pound_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="398"/>
		</region>
		<region region-id="1225" left="54" top="4118.4" width="114" height="27" align-x="116.4" align-y="4134" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="raise1lbf">torque</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:real>.044</ml:real>
								<ml:id xml:space="preserve">lbf</ml:id>
							</ml:apply>
							<ml:id xml:space="preserve">in</ml:id>
						</ml:apply>
						<ml:apply>
							<ml:mult/>
							<ml:real>1</ml:real>
							<ml:id xml:space="preserve">lbf</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="399"/>
		</region>
		<region region-id="1226" left="192" top="4167" width="152.4" height="16.2" align-x="258.6" align-y="4176" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="ballScrew">torque</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve">force</ml:id>
						<ml:id xml:space="preserve" subscript="raise1lbf">torque</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="400"/>
		</region>
		<region region-id="1227" left="192" top="4197" width="125.4" height="16.2" align-x="257.4" align-y="4206" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="ballScrew">torque</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve">N</ml:id>
							<ml:id xml:space="preserve">m</ml:id>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>187.41481906765694</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="meter"/>
								<unitReference unit="newton"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="401"/>
		</region>
		<region region-id="1233" left="12" top="4251.6" width="140.4" height="18" align-x="33" align-y="4266" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="16">
						<b>Metacentric Height</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="1968" left="750" top="4251.6" width="157.8" height="18" align-x="750" align-y="4266" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="16">
						<b>Heave Natural Period</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="1973" left="762" top="4286.4" width="62.4" height="27" align-x="787.8" align-y="4302" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">mass</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>38</ml:real>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">kgf</ml:id>
							<ml:id xml:space="preserve">g</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="402"/>
		</region>
		<region region-id="1974" left="852" top="4293" width="61.2" height="16.2" align-x="871.2" align-y="4302" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="v">m</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>1.1</ml:real>
						<ml:id xml:space="preserve">mass</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="403"/>
		</region>
		<region region-id="1262" left="66" top="4311" width="91.2" height="16.2" align-x="115.8" align-y="4320" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="reqd">volume</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>42.979949074074078</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="liter"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="404"/>
		</region>
		<region region-id="1234" left="372" top="4311" width="78.6" height="16.2" align-x="411" align-y="4320" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="dia">Apex</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>16.5</ml:real>
						<ml:id xml:space="preserve">cm</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="405"/>
		</region>
		<region region-id="1235" left="468" top="4311" width="146.4" height="16.2" align-x="551.4" align-y="4320" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="length">ApexExtended</ml:id>
					<ml:apply>
						<ml:plus/>
						<ml:apply>
							<ml:mult/>
							<ml:real>130</ml:real>
							<ml:id xml:space="preserve">cm</ml:id>
						</ml:apply>
						<ml:apply>
							<ml:mult/>
							<ml:real>8</ml:real>
							<ml:id xml:space="preserve">in</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="406"/>
		</region>
		<region region-id="1353" left="234" top="4312.2" width="94.2" height="21" align-x="283.8" align-y="4326" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="reqd">volume</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">m</ml:id>
							<ml:real>3</ml:real>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.042979949074074077</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="meter" power-numerator="3"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="407"/>
		</region>
		<region region-id="1236" left="378" top="4328.4" width="208.8" height="27" align-x="451.2" align-y="4344" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="vol">ApexExtended</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:div/>
								<ml:id xml:space="preserve">π</ml:id>
								<ml:real>4</ml:real>
							</ml:apply>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve" subscript="dia">Apex</ml:id>
								<ml:real>2</ml:real>
							</ml:apply>
						</ml:apply>
						<ml:id xml:space="preserve" subscript="length">ApexExtended</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="408"/>
		</region>
		<region region-id="1977" left="780" top="4334.4" width="84.6" height="27" align-x="817.8" align-y="4350" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">CSArea</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">π</ml:id>
							<ml:real>4</ml:real>
						</ml:apply>
						<ml:apply>
							<ml:pow/>
							<ml:parens>
								<ml:apply>
									<ml:mult/>
									<ml:real>8</ml:real>
									<ml:id xml:space="preserve">in</ml:id>
								</ml:apply>
							</ml:parens>
							<ml:real>2</ml:real>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="409"/>
		</region>
		<region region-id="1237" left="384" top="4359" width="118.2" height="16.2" align-x="456" align-y="4368" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="vol">ApexExtended</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>32.142121385738484</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="liter"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="410"/>
		</region>
		<region region-id="1238" left="504" top="4360.8" width="109.2" height="34.2" align-x="578.4" align-y="4380" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve" subscript="reqd">volume</ml:id>
						<ml:id xml:space="preserve" subscript="vol">ApexExtended</ml:id>
					</ml:apply>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>1.3371845796445891</ml:real>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="411"/>
		</region>
		<region region-id="1239" left="108" top="4348.8" width="115.8" height="63" align-x="144" align-y="4386" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="dia">hemi</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>2</ml:real>
						<ml:apply>
							<ml:pow/>
							<ml:parens>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve" subscript="reqd">volume</ml:id>
									<ml:apply>
										<ml:mult/>
										<ml:apply>
											<ml:div/>
											<ml:real>4</ml:real>
											<ml:real>6</ml:real>
										</ml:apply>
										<ml:id xml:space="preserve">π</ml:id>
									</ml:apply>
								</ml:apply>
							</ml:parens>
							<ml:apply>
								<ml:div/>
								<ml:real>1</ml:real>
								<ml:real>3</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="412"/>
		</region>
		<region region-id="1240" left="270" top="4377" width="78.6" height="16.2" align-x="304.8" align-y="4386" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="dia">hemi</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.547560893264494</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="meter"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="413"/>
		</region>
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			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="dia">hemi</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>21.557515482854093</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch"/>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="H">T</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:real>2</ml:real>
							<ml:id xml:space="preserve">π</ml:id>
						</ml:apply>
						<ml:apply>
							<ml:pow/>
							<ml:parens>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve" subscript="v">m</ml:id>
									<ml:apply>
										<ml:mult/>
										<ml:apply>
											<ml:mult/>
											<ml:id xml:space="preserve" subscript="sw">ρ</ml:id>
											<ml:id xml:space="preserve">g</ml:id>
										</ml:apply>
										<ml:id xml:space="preserve">CSArea</ml:id>
									</ml:apply>
								</ml:apply>
							</ml:parens>
							<ml:real>.5</ml:real>
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			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="H">T</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>2.2488751564271405</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="second"/>
							</unitMonomial>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
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					<ml:apply>
						<ml:mult/>
						<ml:real>14</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
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						<ml:mult/>
						<ml:real>7</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="len1">cyl</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>5.8</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
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			<math optimize="false" disable-calc="false">
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							<ml:minus/>
							<ml:id xml:space="preserve" subscript="reqd">volume</ml:id>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:mult/>
									<ml:apply>
										<ml:div/>
										<ml:id xml:space="preserve">π</ml:id>
										<ml:real>4</ml:real>
									</ml:apply>
									<ml:apply>
										<ml:pow/>
										<ml:id xml:space="preserve" subscript="dia1">cyl</ml:id>
										<ml:real>2</ml:real>
									</ml:apply>
								</ml:apply>
								<ml:id xml:space="preserve" subscript="len1">cyl</ml:id>
							</ml:apply>
						</ml:apply>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:div/>
								<ml:id xml:space="preserve">π</ml:id>
								<ml:real>4</ml:real>
							</ml:apply>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve" subscript="dia2">cyl</ml:id>
								<ml:real>2</ml:real>
							</ml:apply>
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					</ml:apply>
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			<rendering item-idref="420"/>
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		<region region-id="1246" left="510" top="4449" width="82.2" height="16.2" align-x="547.8" align-y="4458" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="length">cyl</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">in</ml:id>
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				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
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							<ml:apply>
								<ml:div/>
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							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve" subscript="dia">Housing</ml:id>
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						<ml:id xml:space="preserve" subscript="length">Housing</ml:id>
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			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
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						<contentHash xmlns="http://schemas.mathsoft.com/provenance10">3159a86a365e826fb74fbf5859dbbf4c</contentHash>
						<ml:id xml:space="preserve">GM</ml:id>
					</ml:provenance>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.10898909090909086</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="meter"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="434">
				<element-image-map>
					<box left="1.2" top="0.6" width="14.4" height="11.4" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/>
				</element-image-map>
			</rendering>
		</region>
		<region region-id="1261" left="324" top="4671" width="60.6" height="12.6" align-x="345" align-y="4680" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">GM</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>4.2909090909090892</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="435"/>
		</region>
		<region region-id="1412" left="18" top="4719.6" width="117" height="18" align-x="18" align-y="4734" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="16">
						<b>Volume Change</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="1989" left="822" top="4731.6" width="142.8" height="18" align-x="822" align-y="4746" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="16">
						<b>Roll Natural Period</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="1663" left="72" top="4743.6" width="145.8" height="18" align-x="72" align-y="4758" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="16">
						<b>Calculated Guess</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="1670" left="510" top="4743.6" width="193.8" height="18" align-x="510" align-y="4758" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="16">
						<b>Calculated from SW FEA</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="1413" left="90" top="4773" width="61.8" height="12.6" align-x="128.4" align-y="4782" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">diameter</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>6</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="436"/>
		</region>
		<region region-id="1414" left="186" top="4773" width="57.6" height="12.6" align-x="215.4" align-y="4782" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">length</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>40</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="437"/>
		</region>
		<region region-id="1990" left="834" top="4774.2" width="62.4" height="17.4" align-x="844.2" align-y="4788" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">I</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:real>4926</ml:real>
							<ml:id xml:space="preserve">lb</ml:id>
						</ml:apply>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">in</ml:id>
							<ml:real>2</ml:real>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="438"/>
		</region>
		<region region-id="1991" left="942" top="4774.2" width="82.8" height="17.4" align-x="972.6" align-y="4788" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Iprime</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:real>1273</ml:real>
							<ml:id xml:space="preserve">lb</ml:id>
						</ml:apply>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">in</ml:id>
							<ml:real>2</ml:real>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="439"/>
		</region>
		<region region-id="1415" left="120" top="4803" width="80.4" height="12.6" align-x="165" align-y="4812" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">dDiameter</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>.012</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="440"/>
		</region>
		<region region-id="1416" left="234" top="4803" width="72.6" height="12.6" align-x="271.2" align-y="4812" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">dLength</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>.020</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="441"/>
		</region>
		<region region-id="1671" left="552" top="4798.2" width="107.4" height="21" align-x="591.6" align-y="4812" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="undef">vol</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>462173.33</ml:real>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">cm</ml:id>
							<ml:real>3</ml:real>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="442"/>
		</region>
		<region region-id="1997" left="954" top="4803" width="55.2" height="16.2" align-x="975" align-y="4812" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="b">W</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>38</ml:real>
						<ml:id xml:space="preserve">kgf</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="443"/>
		</region>
		<region region-id="1998" left="1020" top="4803" width="54" height="16.2" align-x="1033.8" align-y="4812" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">C</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve" subscript="b">W</ml:id>
						<ml:id xml:space="preserve">GM</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="444"/>
		</region>
		<region region-id="1992" left="864" top="4809" width="60.6" height="16.2" align-x="879" align-y="4818" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="v">I</ml:id>
					<ml:apply>
						<ml:plus/>
						<ml:id xml:space="preserve">I</ml:id>
						<ml:id xml:space="preserve">Iprime</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="445"/>
		</region>
		<region region-id="1672" left="552" top="4828.2" width="99" height="21" align-x="583.2" align-y="4842" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="def">vol</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>462161.11</ml:real>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">cm</ml:id>
							<ml:real>3</ml:real>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="446"/>
		</region>
		<region region-id="1417" left="66" top="4844.4" width="160.2" height="27" align-x="145.2" align-y="4860" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="undeformed">Volume</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:div/>
								<ml:id xml:space="preserve">π</ml:id>
								<ml:real>4</ml:real>
							</ml:apply>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">diameter</ml:id>
								<ml:real>2</ml:real>
							</ml:apply>
						</ml:apply>
						<ml:id xml:space="preserve">length</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="447"/>
		</region>
		<region region-id="1418" left="276" top="4851" width="124.2" height="16.2" align-x="354" align-y="4860" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="undeformed">Volume</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>18.533332755470074</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="liter"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="448"/>
		</region>
		<region region-id="1673" left="552" top="4863" width="108" height="16.2" align-x="584.4" align-y="4872" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="loss">vol</ml:id>
					<ml:apply>
						<ml:minus/>
						<ml:id xml:space="preserve" subscript="undef">vol</ml:id>
						<ml:id xml:space="preserve" subscript="def">vol</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="449"/>
		</region>
		<region region-id="1999" left="852" top="4848" width="72.6" height="35.4" align-x="871.2" align-y="4872" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="R">T</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:real>2</ml:real>
							<ml:id xml:space="preserve">π</ml:id>
						</ml:apply>
						<ml:apply>
							<ml:pow/>
							<ml:parens>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve" subscript="v">I</ml:id>
									<ml:id xml:space="preserve">C</ml:id>
								</ml:apply>
							</ml:parens>
							<ml:real>.5</ml:real>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="450"/>
		</region>
		<region region-id="2001" left="954" top="4863" width="57.6" height="16.2" align-x="972" align-y="4872" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="R">T</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>1.3278946534457108</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="second"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="451"/>
		</region>
		<region region-id="1674" left="552" top="4893" width="72.6" height="16.2" align-x="583.2" align-y="4902" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="loss">vol</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.012220000000062736</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="liter"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="452"/>
		</region>
		<region region-id="1419" left="72" top="4892.4" width="255.6" height="27" align-x="142.8" align-y="4908" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="deformed">Volume</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:div/>
								<ml:id xml:space="preserve">π</ml:id>
								<ml:real>4</ml:real>
							</ml:apply>
							<ml:apply>
								<ml:pow/>
								<ml:parens>
									<ml:apply>
										<ml:minus/>
										<ml:id xml:space="preserve">diameter</ml:id>
										<ml:id xml:space="preserve">dDiameter</ml:id>
									</ml:apply>
								</ml:parens>
								<ml:real>2</ml:real>
							</ml:apply>
						</ml:apply>
						<ml:parens>
							<ml:apply>
								<ml:minus/>
								<ml:id xml:space="preserve">length</ml:id>
								<ml:id xml:space="preserve">dLength</ml:id>
							</ml:apply>
						</ml:parens>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="453"/>
		</region>
		<region region-id="1422" left="360" top="4899" width="111" height="16.2" align-x="429.6" align-y="4908" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="deformed">Volume</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>18.450043921000326</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="liter"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="454"/>
		</region>
		<region region-id="1424" left="180" top="4941" width="195" height="16.2" align-x="220.2" align-y="4950" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">dVolume</ml:id>
					<ml:apply>
						<ml:minus/>
						<ml:id xml:space="preserve" subscript="undeformed">Volume</ml:id>
						<ml:id xml:space="preserve" subscript="deformed">Volume</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="455"/>
		</region>
		<region region-id="1425" left="408" top="4947" width="80.4" height="12.6" align-x="447" align-y="4956" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">dVolume</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.08328883446974758</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="liter"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="456"/>
		</region>
		<region region-id="1502" left="42" top="5013.6" width="343.8" height="32.4" align-x="42" align-y="5028" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="16">
						<b>Added Mass </b>
					</f>
					<f size="12">
						<b>(3D ellipsoid from Irrotation Flow of Frictionless Fluids, Kennard DTMB 1967)</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="1664" left="576" top="5025.6" width="117" height="18" align-x="576" align-y="5040" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="16">
						<b>Failure Rate</b>
					</f>
				</p>
			</text>
		</region>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">floats</ml:id>
					<ml:real>1</ml:real>
				</ml:define>
			</math>
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		</region>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="argo">FIT</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:apply>
							<ml:mult/>
							<ml:real>700</ml:real>
							<ml:id xml:space="preserve">floats</ml:id>
						</ml:apply>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:mult/>
									<ml:apply>
										<ml:mult/>
										<ml:apply>
											<ml:mult/>
											<ml:real>3200</ml:real>
											<ml:id xml:space="preserve">floats</ml:id>
										</ml:apply>
										<ml:real>24</ml:real>
									</ml:apply>
									<ml:apply>
										<ml:div/>
										<ml:id xml:space="preserve">hr</ml:id>
										<ml:id xml:space="preserve">day</ml:id>
									</ml:apply>
								</ml:apply>
								<ml:real>365</ml:real>
							</ml:apply>
							<ml:id xml:space="preserve">day</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
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		</region>
		<region region-id="1667" left="738" top="5066.4" width="118.8" height="31.8" align-x="774" align-y="5082" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="argo">FIT</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:real>1</ml:real>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:pow/>
									<ml:real>10</ml:real>
									<ml:real>9</ml:real>
								</ml:apply>
								<ml:id xml:space="preserve">hr</ml:id>
							</ml:apply>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>24971.461187214612</ml:real>
					</result>
				</ml:eval>
			</math>
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			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="sw">ρ</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>1026</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="kilogram"/>
								<unitReference unit="meter" power-numerator="-3"/>
							</unitMonomial>
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					</result>
				</ml:eval>
			</math>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">b</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>7</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="461"/>
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			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">a</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>27</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
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				</ml:define>
			</math>
			<rendering item-idref="462"/>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="repeater">FIT</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:real>10</ml:real>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:pow/>
								<ml:real>10</ml:real>
								<ml:real>9</ml:real>
							</ml:apply>
							<ml:id xml:space="preserve">hr</ml:id>
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					</ml:apply>
				</ml:define>
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			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedBIConstant" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">e</ml:id>
					<ml:apply>
						<ml:sqrt/>
						<ml:apply>
							<ml:minus/>
							<ml:real>1</ml:real>
							<ml:apply>
								<ml:div/>
								<ml:apply>
									<ml:pow/>
									<ml:id xml:space="preserve">b</ml:id>
									<ml:real>2</ml:real>
								</ml:apply>
								<ml:apply>
									<ml:pow/>
									<ml:id xml:space="preserve">a</ml:id>
									<ml:real>2</ml:real>
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							</ml:apply>
						</ml:apply>
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				</ml:define>
			</math>
			<rendering item-idref="464"/>
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		<region region-id="1536" left="180" top="5115.6" width="130.2" height="36.6" align-x="198" align-y="5136" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="0">α</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:div/>
							<ml:apply>
								<ml:minus/>
								<ml:real>1</ml:real>
								<ml:apply>
									<ml:pow/>
									<ml:id xml:space="preserve">e</ml:id>
									<ml:real>2</ml:real>
								</ml:apply>
							</ml:apply>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">e</ml:id>
								<ml:real>3</ml:real>
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						<ml:parens>
							<ml:apply>
								<ml:minus/>
								<ml:apply>
									<ml:id xml:space="preserve">ln</ml:id>
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										<ml:apply>
											<ml:plus/>
											<ml:real>1</ml:real>
											<ml:id xml:space="preserve">e</ml:id>
										</ml:apply>
										<ml:apply>
											<ml:minus/>
											<ml:real>1</ml:real>
											<ml:id xml:space="preserve">e</ml:id>
										</ml:apply>
									</ml:apply>
								</ml:apply>
								<ml:apply>
									<ml:mult/>
									<ml:real>2</ml:real>
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								</ml:apply>
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					</ml:apply>
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			</math>
			<rendering item-idref="465"/>
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			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="repeater">FIT</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:real>1</ml:real>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:pow/>
									<ml:real>10</ml:real>
									<ml:real>9</ml:real>
								</ml:apply>
								<ml:id xml:space="preserve">hr</ml:id>
							</ml:apply>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>10</ml:real>
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			</math>
			<rendering item-idref="466"/>
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		<region region-id="1540" left="180" top="5163" width="51.6" height="16.2" align-x="196.8" align-y="5172" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="0">α</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>0.15817630542510416</ml:real>
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				</ml:eval>
			</math>
			<rendering item-idref="467"/>
		</region>
		<region region-id="1539" left="84" top="5169" width="45" height="12.6" align-x="94.2" align-y="5178" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">e</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>0.96580776373372579</ml:real>
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			<rendering item-idref="468"/>
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		<region region-id="1541" left="72" top="5204.4" width="110.4" height="27" align-x="118.2" align-y="5220" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="prime">mass</ml:id>
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						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:mult/>
									<ml:apply>
										<ml:div/>
										<ml:real>4</ml:real>
										<ml:real>3</ml:real>
									</ml:apply>
									<ml:id xml:space="preserve" subscript="sw">ρ</ml:id>
								</ml:apply>
								<ml:id xml:space="preserve">π</ml:id>
							</ml:apply>
							<ml:id xml:space="preserve">a</ml:id>
						</ml:apply>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">b</ml:id>
							<ml:real>2</ml:real>
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				</ml:define>
			</math>
			<rendering item-idref="469"/>
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		<region region-id="1548" left="210" top="5200.8" width="50.4" height="34.2" align-x="223.2" align-y="5220" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">k</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve" subscript="0">α</ml:id>
						<ml:apply>
							<ml:minus/>
							<ml:real>2</ml:real>
							<ml:id xml:space="preserve" subscript="0">α</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="470"/>
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		<region region-id="1549" left="312" top="5211" width="105.6" height="16.2" align-x="361.2" align-y="5220" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="added">mass</ml:id>
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			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
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					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>93.174477094850246</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="kilogram"/>
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			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
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					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>0.08588026415938374</ml:real>
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					<ml:unitOverride>
						<ml:id xml:space="preserve">kg</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>8.0018487058181886</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="kilogram"/>
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				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
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							<ml:id xml:space="preserve" subscript="added">mass</ml:id>
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						<ml:id xml:space="preserve" subscript="prime">mass</ml:id>
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			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">addedMassFactor</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>1.0858802641593837</ml:real>
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				</ml:eval>
			</math>
			<rendering item-idref="476"/>
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		<region region-id="1649" left="36" top="5325.6" width="343.8" height="32.4" align-x="36" align-y="5340" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="16">
						<b>Added Mass </b>
					</f>
					<f size="12">
						<b>(3D ellipsoid from Handbook of Ocean Engineering)</b>
					</f>
				</p>
			</text>
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		<region region-id="1711" left="492" top="5349.6" width="343.8" height="18" align-x="492" align-y="5364" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="16">
						<b>Weight of trapped silt</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="2284" left="912" top="5349.6" width="343.8" height="18" align-x="912" align-y="5364" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="16">
						<b>Weight/Displacement of housing per inch</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="1650" left="90" top="5360.4" width="51" height="27" align-x="124.8" align-y="5376" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">aOverb</ml:id>
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						<ml:div/>
						<ml:id xml:space="preserve">a</ml:id>
						<ml:id xml:space="preserve">b</ml:id>
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			</math>
			<rendering item-idref="477"/>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="2">k</ml:id>
					<ml:apply>
						<ml:plus/>
						<ml:apply>
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							<ml:apply>
								<ml:div/>
								<ml:apply>
									<ml:minus/>
									<ml:id xml:space="preserve">aOverb</ml:id>
									<ml:real>2.99</ml:real>
								</ml:apply>
								<ml:apply>
									<ml:minus/>
									<ml:real>3.99</ml:real>
									<ml:real>2.99</ml:real>
								</ml:apply>
							</ml:apply>
							<ml:parens>
								<ml:apply>
									<ml:minus/>
									<ml:real>0.082</ml:real>
									<ml:real>.122</ml:real>
								</ml:apply>
							</ml:parens>
						</ml:apply>
						<ml:real>.122</ml:real>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="478"/>
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			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">ID</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>8</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="479"/>
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		<region region-id="1652" left="84" top="5409" width="68.4" height="12.6" align-x="117.6" align-y="5418" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">aOverb</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>3.8571428571428572</ml:real>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="480"/>
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		<region region-id="1653" left="192" top="5409" width="51" height="16.2" align-x="208.2" align-y="5418" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="2">k</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>0.087314285714285733</ml:real>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="481"/>
		</region>
		<region region-id="2286" left="930" top="5402.4" width="81.6" height="31.8" align-x="979.2" align-y="5418" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">ρAluminum</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>.1</ml:real>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">lbf</ml:id>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">in</ml:id>
								<ml:real>3</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="482"/>
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		<region region-id="2287" left="1056" top="5409" width="79.8" height="12.6" align-x="1100.4" align-y="5418" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">housingID</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>7.25</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="483"/>
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		<region region-id="2289" left="1152" top="5409" width="79.2" height="12.6" align-x="1200.6" align-y="5418" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">housingOD</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>8.0</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="484"/>
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		<region region-id="1701" left="528" top="5415" width="72" height="12.6" align-x="549" align-y="5424" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">OD</ml:id>
					<ml:apply>
						<ml:plus/>
						<ml:id xml:space="preserve">ID</ml:id>
						<ml:apply>
							<ml:mult/>
							<ml:real>.02</ml:real>
							<ml:id xml:space="preserve">in</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="485"/>
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		<region region-id="1702" left="528" top="5439" width="54" height="12.6" align-x="541.8" align-y="5448" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">H</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>1.886</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
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				</ml:define>
			</math>
			<rendering item-idref="486"/>
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		<region region-id="1706" left="624" top="5432.4" width="73.8" height="31.8" align-x="646.8" align-y="5448" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="silt">ρ</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>.0028</ml:real>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">kgf</ml:id>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">cm</ml:id>
								<ml:real>3</ml:real>
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						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="487"/>
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		<region region-id="1658" left="96" top="5451" width="88.8" height="16.2" align-x="124.2" align-y="5460" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="l">mass</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve" subscript="2">k</ml:id>
						<ml:id xml:space="preserve" subscript="prime">mass</ml:id>
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				</ml:define>
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			<rendering item-idref="488"/>
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		<region region-id="1659" left="240" top="5451" width="72.6" height="16.2" align-x="267" align-y="5460" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="l">mass</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>8.1354629143389268</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="kilogram"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="489"/>
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		<region region-id="2290" left="948" top="5450.4" width="282" height="27" align-x="1061.4" align-y="5466" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">housingWeightPerUnitLength</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult style="auto-select"/>
							<ml:apply>
								<ml:div/>
								<ml:id xml:space="preserve">π</ml:id>
								<ml:real>4</ml:real>
							</ml:apply>
							<ml:parens>
								<ml:apply>
									<ml:minus/>
									<ml:apply>
										<ml:pow/>
										<ml:id xml:space="preserve">housingOD</ml:id>
										<ml:real>2</ml:real>
									</ml:apply>
									<ml:apply>
										<ml:pow/>
										<ml:id xml:space="preserve">housingID</ml:id>
										<ml:real>2</ml:real>
									</ml:apply>
								</ml:apply>
							</ml:parens>
						</ml:apply>
						<ml:id xml:space="preserve">ρAluminum</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="490"/>
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		<region region-id="1707" left="534" top="5474.4" width="102" height="27" align-x="555" align-y="5490" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Vol</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:div/>
								<ml:id xml:space="preserve">π</ml:id>
								<ml:real>4</ml:real>
							</ml:apply>
							<ml:parens>
								<ml:apply>
									<ml:minus/>
									<ml:apply>
										<ml:pow/>
										<ml:id xml:space="preserve">OD</ml:id>
										<ml:real>2</ml:real>
									</ml:apply>
									<ml:apply>
										<ml:pow/>
										<ml:id xml:space="preserve">ID</ml:id>
										<ml:real>2</ml:real>
									</ml:apply>
								</ml:apply>
							</ml:parens>
						</ml:apply>
						<ml:id xml:space="preserve">H</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="491"/>
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		<region region-id="1708" left="660" top="5476.2" width="67.8" height="17.4" align-x="679.8" align-y="5490" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Vol</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">cm</ml:id>
							<ml:real>3</ml:real>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>7.7772350908417511</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="centimeter" power-numerator="3"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="492"/>
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		<region region-id="2291" left="1014" top="5480.4" width="157.8" height="27" align-x="1126.2" align-y="5496" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">housingWeightPerUnitLength</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">lbf</ml:id>
							<ml:id xml:space="preserve">in</ml:id>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.89829914938583266</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch" power-numerator="-1"/>
								<unitReference unit="pound_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="493"/>
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		<region region-id="1661" left="66" top="5494.8" width="155.4" height="34.2" align-x="139.8" align-y="5514" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">addedMassFactor</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:apply>
							<ml:plus/>
							<ml:id xml:space="preserve" subscript="prime">mass</ml:id>
							<ml:id xml:space="preserve" subscript="l">mass</ml:id>
						</ml:apply>
						<ml:id xml:space="preserve" subscript="prime">mass</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="494"/>
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		<region region-id="1662" left="282" top="5505" width="107.4" height="12.6" align-x="354.6" align-y="5514" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">addedMassFactor</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>1.0873142857142857</ml:real>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="495"/>
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		<region region-id="1709" left="540" top="5505" width="74.4" height="16.2" align-x="573.6" align-y="5514" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Weight</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve">Vol</ml:id>
						<ml:id xml:space="preserve" subscript="silt">ρ</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="496"/>
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		<region region-id="1710" left="654" top="5505" width="78" height="12.6" align-x="686.4" align-y="5514" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Weight</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">kgf</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.021776258254356903</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="kilogram_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="497"/>
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		<region region-id="2292" left="1020" top="5510.4" width="155.4" height="27" align-x="1132.2" align-y="5526" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">housingWeightPerUnitLength</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">kgf</ml:id>
							<ml:id xml:space="preserve">cm</ml:id>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.16041796855862356</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="centimeter" power-numerator="-1"/>
								<unitReference unit="kilogram_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="498"/>
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		<region region-id="2307" left="930" top="5546.4" width="95.4" height="31.8" align-x="951.6" align-y="5562" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="sw">ρ</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>1026</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="kilogram"/>
								<unitReference unit="meter" power-numerator="-3"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="499"/>
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		<region region-id="2308" left="1074" top="5546.4" width="215.4" height="27" align-x="1197.6" align-y="5562" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">housingBuoyancyPerUnitLength</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">π</ml:id>
									<ml:real>4</ml:real>
								</ml:apply>
								<ml:apply>
									<ml:pow/>
									<ml:id xml:space="preserve">housingOD</ml:id>
									<ml:real>2</ml:real>
								</ml:apply>
							</ml:apply>
							<ml:id xml:space="preserve" subscript="sw">ρ</ml:id>
						</ml:apply>
						<ml:id xml:space="preserve">g</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="500"/>
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		<region region-id="1675" left="42" top="5571.6" width="343.8" height="18" align-x="42" align-y="5586" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="16">
						<b>Freeboard per kilo</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="2477" left="1080" top="5570.4" width="170.4" height="27" align-x="1202.4" align-y="5586" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">housingBuoyancyPerUnitLength</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">kgf</ml:id>
							<ml:id xml:space="preserve">cm</ml:id>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.33272439907458085</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="centimeter" power-numerator="-1"/>
								<unitReference unit="kilogram_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="501"/>
		</region>
		<region region-id="1688" left="510" top="5577.6" width="343.8" height="18" align-x="510" align-y="5592" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="16">
						<b>Reservoir check valve</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="1679" left="192" top="5600.4" width="95.4" height="31.8" align-x="213.6" align-y="5616" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="sw">ρ</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>1026</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="kilogram"/>
								<unitReference unit="meter" power-numerator="-3"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="502"/>
		</region>
		<region region-id="2478" left="1086" top="5600.4" width="168" height="27" align-x="1208.4" align-y="5616" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">housingBuoyancyPerUnitLength</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">lbf</ml:id>
							<ml:id xml:space="preserve">in</ml:id>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>1.8631706120837865</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch" power-numerator="-1"/>
								<unitReference unit="pound_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="503"/>
		</region>
		<region region-id="1676" left="66" top="5613" width="51" height="12.6" align-x="86.4" align-y="5622" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Dia</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>6.5</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="504"/>
		</region>
		<region region-id="1690" left="510" top="5619" width="64.2" height="12.6" align-x="543.6" align-y="5628" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">ballDia</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>.25</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="505"/>
		</region>
		<region region-id="1691" left="606" top="5612.4" width="90" height="27" align-x="645" align-y="5628" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">ballArea</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">π</ml:id>
							<ml:real>4</ml:real>
						</ml:apply>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">ballDia</ml:id>
							<ml:real>2</ml:real>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="506"/>
		</region>
		<region region-id="2474" left="912" top="5624.4" width="164.4" height="27" align-x="1036.8" align-y="5640" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:div/>
						<ml:parens>
							<ml:apply>
								<ml:minus/>
								<ml:apply>
									<ml:mult/>
									<ml:real>33.25</ml:real>
									<ml:id xml:space="preserve">lbf</ml:id>
								</ml:apply>
								<ml:apply>
									<ml:mult/>
									<ml:real>24.19</ml:real>
									<ml:id xml:space="preserve">lbf</ml:id>
								</ml:apply>
							</ml:apply>
						</ml:parens>
						<ml:id xml:space="preserve">housingBuoyancyPerUnitLength</ml:id>
					</ml:apply>
					<ml:unitOverride>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>4.86267867324679</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="507"/>
		</region>
		<region region-id="1677" left="66" top="5630.4" width="102.6" height="35.4" align-x="112.2" align-y="5646" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">FBperKilo</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:real>4</ml:real>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:id xml:space="preserve">π</ml:id>
								<ml:apply>
									<ml:pow/>
									<ml:id xml:space="preserve">Dia</ml:id>
									<ml:real>2</ml:real>
								</ml:apply>
							</ml:apply>
							<ml:id xml:space="preserve" subscript="sw">ρ</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="508"/>
		</region>
		<region region-id="1680" left="192" top="5630.4" width="93" height="27" align-x="237" align-y="5646" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">FBperKilo</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.045526955751409741</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="kilogram" power-numerator="-1"/>
								<unitReference unit="meter"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="509"/>
		</region>
		<region region-id="1692" left="510" top="5655" width="63" height="12.6" align-x="549.6" align-y="5664" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">oilHeight</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>6</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="510"/>
		</region>
		<region region-id="1693" left="612" top="5648.4" width="72.6" height="31.8" align-x="633.6" align-y="5664" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="oil">ρ</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>.0008</ml:real>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">kgf</ml:id>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">cm</ml:id>
								<ml:real>3</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="511"/>
		</region>
		<region region-id="2483" left="918" top="5673" width="376.8" height="12.6" align-x="1053" align-y="5682" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">netBuoyancyChangePerUnitLength</ml:id>
					<ml:apply>
						<ml:minus/>
						<ml:id xml:space="preserve">housingBuoyancyPerUnitLength</ml:id>
						<ml:id xml:space="preserve">housingWeightPerUnitLength</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="512"/>
		</region>
		<region region-id="1684" left="66" top="5679" width="51" height="12.6" align-x="86.4" align-y="5688" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Dia</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>8.0</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="513"/>
		</region>
		<region region-id="1694" left="516" top="5691" width="105" height="16.2" align-x="562.8" align-y="5700" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">oilPressure</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve">oilHeight</ml:id>
						<ml:id xml:space="preserve" subscript="oil">ρ</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="514"/>
		</region>
		<region region-id="1695" left="672" top="5684.4" width="91.8" height="31.8" align-x="717.6" align-y="5700" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">oilPressure</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">lbf</ml:id>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">in</ml:id>
								<ml:real>2</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.17341100160040165</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch" power-numerator="-2"/>
								<unitReference unit="pound_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="515"/>
		</region>
		<region region-id="2485" left="924" top="5690.4" width="179.4" height="27" align-x="1057.8" align-y="5706" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">netBuoyancyChangePerUnitLength</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">lbf</ml:id>
							<ml:id xml:space="preserve">in</ml:id>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.96487146269795387</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch" power-numerator="-1"/>
								<unitReference unit="pound_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="516"/>
		</region>
		<region region-id="1685" left="66" top="5696.4" width="102.6" height="35.4" align-x="112.2" align-y="5712" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">FBperKilo</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:real>4</ml:real>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:id xml:space="preserve">π</ml:id>
								<ml:apply>
									<ml:pow/>
									<ml:id xml:space="preserve">Dia</ml:id>
									<ml:real>2</ml:real>
								</ml:apply>
							</ml:apply>
							<ml:id xml:space="preserve" subscript="sw">ρ</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="517"/>
		</region>
		<region region-id="1686" left="192" top="5696.4" width="88.2" height="27" align-x="237" align-y="5712" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">FBperKilo</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.03005490438276659</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="kilogram" power-numerator="-1"/>
								<unitReference unit="meter"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="518"/>
		</region>
		<region region-id="1698" left="648" top="5714.4" width="64.8" height="27" align-x="673.2" align-y="5730" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:div/>
						<ml:real>5</ml:real>
						<ml:real>.173</ml:real>
					</ml:apply>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<ml:real>28.901734104046245</ml:real>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="519"/>
		</region>
		<region region-id="2488" left="924" top="5726.4" width="181.8" height="27" align-x="1057.8" align-y="5742" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">netBuoyancyChangePerUnitLength</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">kgf</ml:id>
							<ml:id xml:space="preserve">cm</ml:id>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.17230643051595726</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="centimeter" power-numerator="-1"/>
								<unitReference unit="kilogram_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="520"/>
		</region>
		<region region-id="1894" left="744" top="5799" width="196.8" height="32.4" align-x="744" align-y="5808" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">
					<f family="Arial" charset="0" size="10">
						<c val="#333">• Pressure lines — 25 fps or 7.62 meters/sec.</c>
					</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">
					<f family="Arial" charset="0" size="10">
						<c val="#333">• Return lines — 10 fps or 3.05 meters/sec.</c>
					</f>
				</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">
					<f family="Arial" charset="0" size="10">
						<c val="#333">• Suction lines — 4 fps or 1.22 meters/sec.</c>
					</f>
				</p>
			</text>
		</region>
		<region region-id="2313" left="1062" top="5798.4" width="140.4" height="31.8" align-x="1140.6" align-y="5814" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">π</ml:id>
									<ml:real>4</ml:real>
								</ml:apply>
								<ml:apply>
									<ml:pow/>
									<ml:parens>
										<ml:apply>
											<ml:mult/>
											<ml:real>8</ml:real>
											<ml:id xml:space="preserve">in</ml:id>
										</ml:apply>
									</ml:parens>
									<ml:real>2</ml:real>
								</ml:apply>
							</ml:apply>
							<ml:real>750</ml:real>
						</ml:apply>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">lbf</ml:id>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">in</ml:id>
								<ml:real>2</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:apply>
					<ml:unitOverride>
						<ml:id xml:space="preserve">lbf</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>37699.11184307751</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="pound_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="521"/>
		</region>
		<region region-id="1878" left="510" top="5805.6" width="211.8" height="18" align-x="510" align-y="5820" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="16">
						<b>Hydraulic Pipe Sizing calcs</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="2176" left="48" top="5811.6" width="343.8" height="18" align-x="48" align-y="5826" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="16">
						<b>LM5118 Resistor calcs</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="2177" left="54" top="5853" width="60" height="12.6" align-x="72" align-y="5862" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">R9</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>590</ml:real>
						<ml:id xml:space="preserve">ohm</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="522"/>
		</region>
		<region region-id="1880" left="540" top="5847.6" width="89.4" height="31.8" align-x="583.2" align-y="5868" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">PumpSize</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:apply>
							<ml:mult/>
							<ml:real>.869</ml:real>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">cm</ml:id>
								<ml:real>3</ml:real>
							</ml:apply>
						</ml:apply>
						<ml:id xml:space="preserve">rev</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="523"/>
		</region>
		<region region-id="1881" left="648" top="5852.4" width="101.4" height="27" align-x="702.6" align-y="5868" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">MotorSpeed</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>3000</ml:real>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">rev</ml:id>
							<ml:id xml:space="preserve">min</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="524"/>
		</region>
		<region region-id="1882" left="774" top="5859" width="39" height="12.6" align-x="792.6" align-y="5868" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Eff</ml:id>
					<ml:real>.75</ml:real>
				</ml:define>
			</math>
			<rendering item-idref="525"/>
		</region>
		<region region-id="2178" left="54" top="5871" width="61.2" height="12.6" align-x="79.8" align-y="5880" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Vout</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>24</ml:real>
						<ml:id xml:space="preserve">volt</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="526"/>
		</region>
		<region region-id="2179" left="54" top="5888.4" width="103.2" height="27" align-x="72" align-y="5904" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">R8</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve">R9</ml:id>
						<ml:parens>
							<ml:apply>
								<ml:minus/>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">Vout</ml:id>
									<ml:apply>
										<ml:mult/>
										<ml:real>1.23</ml:real>
										<ml:id xml:space="preserve">volt</ml:id>
									</ml:apply>
								</ml:apply>
								<ml:real>1</ml:real>
							</ml:apply>
						</ml:parens>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="527"/>
		</region>
		<region region-id="2180" left="192" top="5890.2" width="83.4" height="17.4" align-x="208.8" align-y="5904" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">R8</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>10922.195121951219</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="ohm"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="528"/>
		</region>
		<region region-id="2181" left="336" top="5895" width="91.2" height="12.6" align-x="375.6" align-y="5904" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">R8actual</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>11000</ml:real>
						<ml:id xml:space="preserve">ohm</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="529"/>
		</region>
		<region region-id="1883" left="540" top="5901" width="151.8" height="12.6" align-x="582.6" align-y="5910" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">FlowRate</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:id xml:space="preserve">PumpSize</ml:id>
							<ml:id xml:space="preserve">MotorSpeed</ml:id>
						</ml:apply>
						<ml:id xml:space="preserve">Eff</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="530"/>
		</region>
		<region region-id="1884" left="720" top="5889.6" width="96.6" height="31.8" align-x="761.4" align-y="5910" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">FlowRate</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">cm</ml:id>
								<ml:real>3</ml:real>
							</ml:apply>
							<ml:id xml:space="preserve">sec</ml:id>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>32.5875</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="centimeter" power-numerator="3"/>
								<unitReference unit="second" power-numerator="-1"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="531"/>
		</region>
		<region region-id="1900" left="828" top="5894.4" width="90" height="27" align-x="869.4" align-y="5910" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">FlowRate</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">gal</ml:id>
							<ml:id xml:space="preserve">min</ml:id>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.5165223802663268</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="gallon"/>
								<unitReference unit="minute" power-numerator="-1"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="532"/>
		</region>
		<region region-id="1896" left="546" top="5925" width="67.8" height="12.6" align-x="583.2" align-y="5934" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">pipeOD</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>.25</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="533"/>
		</region>
		<region region-id="1898" left="648" top="5925" width="71.4" height="12.6" align-x="688.8" align-y="5934" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">pipeWall</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>.05</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="534"/>
		</region>
		<region region-id="1885" left="546" top="5949" width="130.8" height="12.6" align-x="579" align-y="5958" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">pipeID</ml:id>
					<ml:apply>
						<ml:minus/>
						<ml:id xml:space="preserve">pipeOD</ml:id>
						<ml:parens>
							<ml:apply>
								<ml:mult/>
								<ml:real>2</ml:real>
								<ml:id xml:space="preserve">pipeWall</ml:id>
							</ml:apply>
						</ml:parens>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="535"/>
		</region>
		<region region-id="1899" left="702" top="5949" width="66.6" height="12.6" align-x="733.8" align-y="5958" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">pipeID</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.15</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="536"/>
		</region>
		<region region-id="2182" left="66" top="5948.4" width="114.6" height="27" align-x="76.2" align-y="5964" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">I</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve">Vout</ml:id>
						<ml:apply>
							<ml:plus/>
							<ml:apply>
								<ml:plus/>
								<ml:apply>
									<ml:mult/>
									<ml:real>10</ml:real>
									<ml:id xml:space="preserve">ohm</ml:id>
								</ml:apply>
								<ml:id xml:space="preserve">R8actual</ml:id>
							</ml:apply>
							<ml:id xml:space="preserve">R9</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="537"/>
		</region>
		<region region-id="2183" left="192" top="5950.2" width="82.2" height="17.4" align-x="201" align-y="5964" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">I</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.0020689655172413794</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="ampere"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="538"/>
		</region>
		<region region-id="2184" left="336" top="5948.4" width="150.6" height="27" align-x="382.8" align-y="5964" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="actual">Vout</ml:id>
					<ml:apply>
						<ml:mult style="auto-select"/>
						<ml:apply>
							<ml:mult/>
							<ml:real>1.23</ml:real>
							<ml:id xml:space="preserve">volt</ml:id>
						</ml:apply>
						<ml:parens>
							<ml:apply>
								<ml:plus/>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">R8actual</ml:id>
									<ml:id xml:space="preserve">R9</ml:id>
								</ml:apply>
								<ml:real>1</ml:real>
							</ml:apply>
						</ml:parens>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="539"/>
		</region>
		<region region-id="2070" left="552" top="5966.4" width="108.6" height="41.4" align-x="607.8" align-y="5982" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">FlowVelocity</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve">FlowRate</ml:id>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:div/>
								<ml:id xml:space="preserve">π</ml:id>
								<ml:real>4</ml:real>
							</ml:apply>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">pipeID</ml:id>
								<ml:real>2</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="540"/>
		</region>
		<region region-id="1889" left="684" top="5966.4" width="101.4" height="27" align-x="738.6" align-y="5982" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">FlowVelocity</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">ft</ml:id>
							<ml:id xml:space="preserve">sec</ml:id>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>9.3776981341201751</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="foot"/>
								<unitReference unit="second" power-numerator="-1"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="541"/>
		</region>
		<region region-id="2185" left="342" top="5979" width="93" height="16.2" align-x="387.6" align-y="5988" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="actual">Vout</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>24.162203389830509</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="volt"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="542"/>
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		<region region-id="2186" left="72" top="5986.2" width="93" height="21" align-x="114" align-y="6000" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="R8">Power</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve">R8actual</ml:id>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">I</ml:id>
							<ml:real>2</ml:real>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="543"/>
		</region>
		<region region-id="2187" left="192" top="5991" width="85.8" height="16.2" align-x="232.8" align-y="6000" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="R8">Power</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.047086801426872771</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="watt"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="544"/>
		</region>
		<region region-id="2093" left="528" top="6015" width="72.6" height="12.6" align-x="565.2" align-y="6024" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">pipeOD</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>.375</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="545"/>
		</region>
		<region region-id="2094" left="642" top="6015" width="76.2" height="12.6" align-x="682.8" align-y="6024" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">pipeWall</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>.028</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="546"/>
		</region>
		<region region-id="2188" left="72" top="6016.2" width="71.4" height="21" align-x="114" align-y="6030" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="R9">Power</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve">R9</ml:id>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">I</ml:id>
							<ml:real>2</ml:real>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="547"/>
		</region>
		<region region-id="2189" left="192" top="6016.2" width="115.8" height="21" align-x="232.8" align-y="6030" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="R9">Power</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.002525564803804994</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="watt"/>
							</unitMonomial>
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				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">pipeID</ml:id>
					<ml:apply>
						<ml:minus/>
						<ml:id xml:space="preserve">pipeOD</ml:id>
						<ml:parens>
							<ml:apply>
								<ml:mult/>
								<ml:real>2</ml:real>
								<ml:id xml:space="preserve">pipeWall</ml:id>
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					</ml:apply>
				</ml:define>
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			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">pipeID</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.31899999999999995</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch"/>
							</unitMonomial>
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			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Vout</ml:id>
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						<ml:mult/>
						<ml:real>12</ml:real>
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					<ml:id xml:space="preserve">R9</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>309</ml:real>
						<ml:id xml:space="preserve">ohm</ml:id>
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			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">FlowVelocity</ml:id>
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						<ml:div/>
						<ml:id xml:space="preserve">FlowRate</ml:id>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:div/>
								<ml:id xml:space="preserve">π</ml:id>
								<ml:real>4</ml:real>
							</ml:apply>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">pipeID</ml:id>
								<ml:real>2</ml:real>
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			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">FlowVelocity</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">ft</ml:id>
							<ml:id xml:space="preserve">sec</ml:id>
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						<unitedValue>
							<ml:real>2.073468303354959</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="foot"/>
								<unitReference unit="second" power-numerator="-1"/>
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								<ml:minus/>
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									<ml:div/>
									<ml:id xml:space="preserve">Vout</ml:id>
									<ml:apply>
										<ml:mult/>
										<ml:real>1.23</ml:real>
										<ml:id xml:space="preserve">volt</ml:id>
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								</ml:apply>
								<ml:real>1</ml:real>
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						<unitedValue>
							<ml:real>2705.6341463414633</ml:real>
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				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">R8actual</ml:id>
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						<ml:mult/>
						<ml:real>2670</ml:real>
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					<ml:id xml:space="preserve">pipeOD</ml:id>
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						<ml:apply>
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							<ml:real>16</ml:real>
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					<ml:id xml:space="preserve">pipeWall</ml:id>
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						<ml:apply>
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							<ml:real>1</ml:real>
							<ml:real>16</ml:real>
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							<ml:real>1.23</ml:real>
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								<ml:plus/>
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								<ml:real>1</ml:real>
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								<ml:plus/>
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									<ml:real>10</ml:real>
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						<unitedValue>
							<ml:real>0.18750000000000003</ml:real>
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						<unitedValue>
							<ml:real>11.858155339805826</ml:real>
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								<unitReference unit="volt"/>
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							<ml:real>2</ml:real>
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					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.043035011502530585</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="watt"/>
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							<ml:mult/>
							<ml:apply>
								<ml:div/>
								<ml:id xml:space="preserve">π</ml:id>
								<ml:real>4</ml:real>
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							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">pipeID</ml:id>
								<ml:real>2</ml:real>
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							<ml:id xml:space="preserve">sec</ml:id>
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						<unitedValue>
							<ml:real>6.0017268058369106</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="foot"/>
								<unitReference unit="second" power-numerator="-1"/>
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						<ml:apply>
							<ml:pow/>
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							<ml:real>2</ml:real>
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							<ml:real>0.0049804563873715171</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="watt"/>
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			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="16">
						<b>Maxon controller Vcc calculations</b>
					</f>
				</p>
			</text>
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			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Vout</ml:id>
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						<ml:mult/>
						<ml:real>5</ml:real>
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				</ml:define>
			</math>
			<rendering item-idref="572"/>
		</region>
		<region region-id="1866" left="48" top="6242.4" width="103.2" height="27" align-x="66" align-y="6258" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">R8</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve">R9</ml:id>
						<ml:parens>
							<ml:apply>
								<ml:minus/>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">Vout</ml:id>
									<ml:apply>
										<ml:mult/>
										<ml:real>1.23</ml:real>
										<ml:id xml:space="preserve">volt</ml:id>
									</ml:apply>
								</ml:apply>
								<ml:real>1</ml:real>
							</ml:apply>
						</ml:parens>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="573"/>
		</region>
		<region region-id="1867" left="186" top="6249" width="69.6" height="12.6" align-x="202.8" align-y="6258" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">R8</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>947.09756097560989</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="ohm"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="574"/>
		</region>
		<region region-id="1868" left="336" top="6249" width="81.6" height="12.6" align-x="375.6" align-y="6258" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">R8actual</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>953</ml:real>
						<ml:id xml:space="preserve">ohm</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="575"/>
		</region>
		<region region-id="2020" left="564" top="6249" width="51" height="12.6" align-x="582.6" align-y="6258" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Un</ml:id>
					<ml:apply>
						<ml:mult style="auto-select"/>
						<ml:real font="0">70</ml:real>
						<ml:id xml:space="preserve">volt</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="576"/>
		</region>
		<region region-id="2007" left="672" top="6242.4" width="63.6" height="27" align-x="688.8" align-y="6258" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="0">n</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>3090</ml:real>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">rev</ml:id>
							<ml:id xml:space="preserve">min</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="577"/>
		</region>
		<region region-id="2008" left="756" top="6242.4" width="59.4" height="27" align-x="768.6" align-y="6258" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">n</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>3000</ml:real>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">rev</ml:id>
							<ml:id xml:space="preserve">min</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="578"/>
		</region>
		<region region-id="2011" left="852" top="6236.4" width="86.4" height="39" align-x="881.4" align-y="6264" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">dndM</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:div/>
							<ml:real>.222</ml:real>
							<ml:real>1000</ml:real>
						</ml:apply>
						<ml:apply>
							<ml:div/>
							<ml:apply>
								<ml:div/>
								<ml:id xml:space="preserve">rev</ml:id>
								<ml:id xml:space="preserve">min</ml:id>
							</ml:apply>
							<ml:apply>
								<ml:mult/>
								<ml:id xml:space="preserve">N</ml:id>
								<ml:id xml:space="preserve">m</ml:id>
							</ml:apply>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="579"/>
		</region>
		<region region-id="1869" left="330" top="6272.4" width="150.6" height="27" align-x="376.8" align-y="6288" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="actual">Vout</ml:id>
					<ml:apply>
						<ml:mult style="auto-select"/>
						<ml:apply>
							<ml:mult/>
							<ml:real>1.23</ml:real>
							<ml:id xml:space="preserve">volt</ml:id>
						</ml:apply>
						<ml:parens>
							<ml:apply>
								<ml:plus/>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">R8actual</ml:id>
									<ml:id xml:space="preserve">R9</ml:id>
								</ml:apply>
								<ml:real>1</ml:real>
							</ml:apply>
						</ml:parens>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="580"/>
		</region>
		<region region-id="2012" left="618" top="6285" width="52.2" height="12.6" align-x="633.6" align-y="6294" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">M</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:real>.1</ml:real>
							<ml:id xml:space="preserve">N</ml:id>
						</ml:apply>
						<ml:id xml:space="preserve">m</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="581"/>
		</region>
		<region region-id="1870" left="60" top="6290.4" width="114.6" height="27" align-x="70.2" align-y="6306" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">I</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve">Vout</ml:id>
						<ml:apply>
							<ml:plus/>
							<ml:apply>
								<ml:plus/>
								<ml:apply>
									<ml:mult/>
									<ml:real>10</ml:real>
									<ml:id xml:space="preserve">ohm</ml:id>
								</ml:apply>
								<ml:id xml:space="preserve">R8actual</ml:id>
							</ml:apply>
							<ml:id xml:space="preserve">R9</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="582"/>
		</region>
		<region region-id="1871" left="186" top="6292.2" width="82.2" height="17.4" align-x="195" align-y="6306" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">I</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.0039308176100628931</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="ampere"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="583"/>
		</region>
		<region region-id="1872" left="336" top="6303" width="88.2" height="16.2" align-x="381.6" align-y="6312" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="actual">Vout</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>5.0234951456310677</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="volt"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="584"/>
		</region>
		<region region-id="2005" left="618" top="6320.4" width="163.2" height="30.6" align-x="640.2" align-y="6336" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Vcc</ml:id>
					<ml:apply>
						<ml:plus/>
						<ml:parens>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:mult/>
									<ml:apply>
										<ml:div/>
										<ml:id xml:space="preserve">Un</ml:id>
										<ml:id xml:space="preserve" subscript="0">n</ml:id>
									</ml:apply>
									<ml:parens>
										<ml:apply>
											<ml:plus/>
											<ml:id xml:space="preserve">n</ml:id>
											<ml:apply>
												<ml:mult/>
												<ml:id xml:space="preserve">dndM</ml:id>
												<ml:id xml:space="preserve">M</ml:id>
											</ml:apply>
										</ml:apply>
									</ml:parens>
								</ml:apply>
								<ml:apply>
									<ml:div/>
									<ml:real>1</ml:real>
									<ml:real>.98</ml:real>
								</ml:apply>
							</ml:apply>
						</ml:parens>
						<ml:apply>
							<ml:mult/>
							<ml:real>1</ml:real>
							<ml:id xml:space="preserve">volt</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="585"/>
		</region>
		<region region-id="2024" left="822" top="6327" width="68.4" height="12.6" align-x="843" align-y="6336" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Vcc</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>70.348128113730937</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="volt"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="586"/>
		</region>
		<region region-id="1873" left="66" top="6328.2" width="93" height="21" align-x="108" align-y="6342" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="R8">Power</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve">R8actual</ml:id>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">I</ml:id>
							<ml:real>2</ml:real>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="587"/>
		</region>
		<region region-id="1874" left="186" top="6333" width="85.8" height="16.2" align-x="226.8" align-y="6342" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="R8">Power</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.014725114710652269</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="watt"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="588"/>
		</region>
		<region region-id="1875" left="66" top="6358.2" width="71.4" height="21" align-x="108" align-y="6372" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="R9">Power</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve">R9</ml:id>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">I</ml:id>
							<ml:real>2</ml:real>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="589"/>
		</region>
		<region region-id="1876" left="186" top="6358.2" width="115.8" height="21" align-x="226.8" align-y="6372" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="R9">Power</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.004774460068826392</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="watt"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="590"/>
		</region>
		<region region-id="2136" left="480" top="6417.6" width="343.8" height="18" align-x="480" align-y="6432" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="16">
						<b>Various volume calculations</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="2109" left="60" top="6429.6" width="343.8" height="18" align-x="60" align-y="6444" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="16">
						<b>Inertial impact calculation</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="2137" left="492" top="6483" width="57" height="12.6" align-x="508.8" align-y="6492" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">ID</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>11.75</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="591"/>
		</region>
		<region region-id="2140" left="588" top="6483" width="61.2" height="12.6" align-x="609" align-y="6492" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">OD</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>12.15</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="592"/>
		</region>
		<region region-id="2141" left="660" top="6483" width="69.6" height="12.6" align-x="689.4" align-y="6492" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">height</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>0.005</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="593"/>
		</region>
		<region region-id="2110" left="54" top="6482.4" width="63.6" height="27" align-x="81" align-y="6498" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Mass</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:apply>
							<ml:mult/>
							<ml:real>38</ml:real>
							<ml:id xml:space="preserve">kgf</ml:id>
						</ml:apply>
						<ml:id xml:space="preserve">g</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="594"/>
		</region>
		<region region-id="2112" left="138" top="6489" width="59.4" height="12.6" align-x="163.8" align-y="6498" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Mass</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>38</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="kilogram"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="595"/>
		</region>
		<region region-id="2113" left="234" top="6482.4" width="72.6" height="27" align-x="271.2" align-y="6498" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Velocity</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>10</ml:real>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">cm</ml:id>
							<ml:id xml:space="preserve">sec</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="596"/>
		</region>
		<region region-id="2119" left="324" top="6489" width="90" height="12.6" align-x="378.6" align-y="6498" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">DeaccelTime</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>0.2</ml:real>
						<ml:id xml:space="preserve">sec</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="597"/>
		</region>
		<region region-id="2142" left="498" top="6506.4" width="88.2" height="31.8" align-x="530.4" align-y="6522" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">density</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>.00285</ml:real>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">kgf</ml:id>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">cm</ml:id>
								<ml:real>3</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="598"/>
		</region>
		<region region-id="2114" left="90" top="6530.4" width="134.4" height="27" align-x="143.4" align-y="6546" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">InertialForce</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve">Mass</ml:id>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">Velocity</ml:id>
							<ml:id xml:space="preserve">DeaccelTime</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="599"/>
		</region>
		<region region-id="2117" left="246" top="6537" width="83.4" height="12.6" align-x="298.2" align-y="6546" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">InertialForce</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>19</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="newton"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="600"/>
		</region>
		<region region-id="2120" left="336" top="6537" width="95.4" height="12.6" align-x="388.2" align-y="6546" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">InertialForce</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">lbf</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>4.2713699188944991</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="pound_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="601"/>
		</region>
		<region region-id="2143" left="498" top="6542.4" width="156" height="27" align-x="529.2" align-y="6558" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">weight</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">π</ml:id>
									<ml:real>4</ml:real>
								</ml:apply>
								<ml:parens>
									<ml:apply>
										<ml:minus/>
										<ml:apply>
											<ml:pow/>
											<ml:id xml:space="preserve">OD</ml:id>
											<ml:real>2</ml:real>
										</ml:apply>
										<ml:apply>
											<ml:pow/>
											<ml:id xml:space="preserve">ID</ml:id>
											<ml:real>2</ml:real>
										</ml:apply>
									</ml:apply>
								</ml:parens>
							</ml:apply>
							<ml:id xml:space="preserve">height</ml:id>
						</ml:apply>
						<ml:id xml:space="preserve">density</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="602"/>
		</region>
		<region region-id="2145" left="690" top="6544.2" width="105.6" height="17.4" align-x="720" align-y="6558" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">weight</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">kgf</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.0017533305008872848</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="kilogram_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="603"/>
		</region>
		<region region-id="2126" left="30" top="6566.4" width="92.4" height="31.8" align-x="85.2" align-y="6582" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">MaxPressure</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>0.5</ml:real>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">lbf</ml:id>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">in</ml:id>
								<ml:real>2</ml:real>
							</ml:apply>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="604"/>
		</region>
		<region region-id="2127" left="138" top="6566.4" width="104.4" height="27" align-x="183.6" align-y="6582" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">ReqdArea</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve">InertialForce</ml:id>
						<ml:id xml:space="preserve">MaxPressure</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="605"/>
		</region>
		<region region-id="2128" left="258" top="6574.2" width="88.2" height="17.4" align-x="302.4" align-y="6588" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">ReqdArea</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">in</ml:id>
							<ml:real>2</ml:real>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>8.542739837789</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch" power-numerator="2"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="606"/>
		</region>
		<region region-id="2146" left="504" top="6579" width="61.2" height="12.6" align-x="525" align-y="6588" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">OD</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>12.34</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="607"/>
		</region>
		<region region-id="2149" left="594" top="6579" width="57" height="12.6" align-x="610.8" align-y="6588" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">ID</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>11.89</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="608"/>
		</region>
		<region region-id="2151" left="678" top="6572.4" width="97.8" height="27" align-x="704.4" align-y="6588" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Area</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">π</ml:id>
							<ml:real>4</ml:real>
						</ml:apply>
						<ml:parens>
							<ml:apply>
								<ml:minus/>
								<ml:apply>
									<ml:pow/>
									<ml:id xml:space="preserve">OD</ml:id>
									<ml:real>2</ml:real>
								</ml:apply>
								<ml:apply>
									<ml:pow/>
									<ml:id xml:space="preserve">ID</ml:id>
									<ml:real>2</ml:real>
								</ml:apply>
							</ml:apply>
						</ml:parens>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="609"/>
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		<region region-id="2152" left="678" top="6604.2" width="69" height="17.4" align-x="703.2" align-y="6618" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Area</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">in</ml:id>
							<ml:real>2</ml:real>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>8.5635888746040809</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch" power-numerator="2"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="610"/>
		</region>
		<region region-id="2132" left="36" top="6620.4" width="106.2" height="27" align-x="93" align-y="6636" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">singlePinArea</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve">ReqdArea</ml:id>
						<ml:real>6</ml:real>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="611"/>
		</region>
		<region region-id="2133" left="180" top="6618.6" width="127.2" height="28.8" align-x="231.6" align-y="6636" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">pinDiameter</ml:id>
					<ml:apply>
						<ml:sqrt/>
						<ml:apply>
							<ml:mult/>
							<ml:real>4</ml:real>
							<ml:apply>
								<ml:div/>
								<ml:id xml:space="preserve">singlePinArea</ml:id>
								<ml:id xml:space="preserve">π</ml:id>
							</ml:apply>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="612"/>
		</region>
		<region region-id="2134" left="324" top="6627" width="90" height="12.6" align-x="374.4" align-y="6636" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">pinDiameter</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>1.3464121571703942</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="inch"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="613"/>
		</region>
		<region region-id="2155" left="540" top="6669" width="43.8" height="12.6" align-x="552" align-y="6678" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">a</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>69</ml:real>
						<ml:id xml:space="preserve">lbf</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="614"/>
		</region>
		<region region-id="2156" left="540" top="6693" width="61.2" height="12.6" align-x="550.8" align-y="6702" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">a</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">kgf</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>31.29787353</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="kilogram_force"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="615"/>
		</region>
		<region region-id="2166" left="48" top="6699.6" width="343.8" height="36" align-x="48" align-y="6714" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="16">
						<b>Seabird energy calc from APEX energy budget file</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="2167" left="102" top="6789" width="79.8" height="12.6" align-x="149.4" align-y="6798" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">PowerSTP</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>.28</ml:real>
						<ml:id xml:space="preserve">W</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="616"/>
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		<region region-id="2168" left="216" top="6789" width="61.8" height="12.6" align-x="242.4" align-y="6798" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Volts</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>16</ml:real>
						<ml:id xml:space="preserve">volt</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="617"/>
		</region>
		<region region-id="2169" left="102" top="6818.4" width="137.4" height="27" align-x="135" align-y="6834" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">current</ml:id>
					<ml:eval placeholderMultiplicationStyle="default">
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">PowerSTP</ml:id>
							<ml:id xml:space="preserve">Volts</ml:id>
						</ml:apply>
						<ml:unitOverride>
							<ml:id xml:space="preserve">amp</ml:id>
						</ml:unitOverride>
						<result xmlns="http://schemas.mathsoft.com/math30">
							<unitedValue>
								<ml:real>0.0175</ml:real>
								<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
									<unitReference unit="ampere"/>
								</unitMonomial>
							</unitedValue>
						</result>
					</ml:eval>
				</ml:define>
			</math>
			<rendering item-idref="618"/>
		</region>
		<region region-id="2170" left="72" top="6879.6" width="343.8" height="18" align-x="72" align-y="6894" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="16">
						<b>Housing Diameter tradeoff</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="2171" left="42" top="6921" width="50.4" height="12.6" align-x="69" align-y="6930" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Diam</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>8</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="619"/>
		</region>
		<region region-id="2172" left="108" top="6921" width="59.4" height="12.6" align-x="139.2" align-y="6930" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Height</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>40</ml:real>
						<ml:id xml:space="preserve">in</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="620"/>
		</region>
		<region region-id="2173" left="36" top="6938.4" width="144" height="27" align-x="57" align-y="6954" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Vol</ml:id>
					<ml:eval placeholderMultiplicationStyle="default">
						<ml:apply>
							<ml:mult/>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">π</ml:id>
									<ml:real>4</ml:real>
								</ml:apply>
								<ml:apply>
									<ml:pow/>
									<ml:id xml:space="preserve">Diam</ml:id>
									<ml:real>2</ml:real>
								</ml:apply>
							</ml:apply>
							<ml:id xml:space="preserve">Height</ml:id>
						</ml:apply>
						<result xmlns="http://schemas.mathsoft.com/math30">
							<unitedValue>
								<ml:real>32.948147120835692</ml:real>
								<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
									<unitReference unit="liter"/>
								</unitMonomial>
							</unitedValue>
						</result>
					</ml:eval>
				</ml:define>
			</math>
			<rendering item-idref="621"/>
		</region>
		<region region-id="2175" left="264" top="6938.4" width="132.6" height="31.8" align-x="295.2" align-y="6954" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Height</ml:id>
					<ml:eval placeholderMultiplicationStyle="default">
						<ml:apply>
							<ml:div/>
							<ml:apply>
								<ml:mult/>
								<ml:id xml:space="preserve">Vol</ml:id>
								<ml:real>4</ml:real>
							</ml:apply>
							<ml:apply>
								<ml:mult/>
								<ml:id xml:space="preserve">π</ml:id>
								<ml:apply>
									<ml:pow/>
									<ml:parens>
										<ml:apply>
											<ml:mult/>
											<ml:real>12</ml:real>
											<ml:id xml:space="preserve">in</ml:id>
										</ml:apply>
									</ml:parens>
									<ml:real>2</ml:real>
								</ml:apply>
							</ml:apply>
						</ml:apply>
						<ml:unitOverride>
							<ml:id xml:space="preserve">in</ml:id>
						</ml:unitOverride>
						<result xmlns="http://schemas.mathsoft.com/math30">
							<unitedValue>
								<ml:real>17.777777777777782</ml:real>
								<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
									<unitReference unit="inch"/>
								</unitMonomial>
							</unitedValue>
						</result>
					</ml:eval>
				</ml:define>
			</math>
			<rendering item-idref="622"/>
		</region>
		<region region-id="2190" left="54" top="7053.6" width="343.8" height="18" align-x="54" align-y="7068" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="16">
						<b>LM8611 Resistor calcs</b>
					</f>
				</p>
			</text>
		</region>
		<region region-id="2624" left="348" top="7083" width="321" height="32.4" align-x="352.8" align-y="7092" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">R1 on app note = R10 on 1750A eval board</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"/>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">R2 on data sheet = R11 on 1750A eval board</p>
			</text>
		</region>
		<region region-id="2191" left="60" top="7095" width="74.4" height="12.6" align-x="78" align-y="7104" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">R2</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>412000</ml:real>
						<ml:id xml:space="preserve">ohm</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="623"/>
		</region>
		<region region-id="2205" left="168" top="7095" width="152.4" height="10.8" align-x="172.8" align-y="7104" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">R1 is tied to Vout<sp count="2"/>R2 goes to ground</p>
			</text>
		</region>
		<region region-id="2192" left="60" top="7113" width="61.2" height="12.6" align-x="85.8" align-y="7122" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Vout</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>12</ml:real>
						<ml:id xml:space="preserve">volt</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="624"/>
		</region>
		<region region-id="2207" left="198" top="7113" width="55.8" height="12.6" align-x="218.4" align-y="7122" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Vin</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>28</ml:real>
						<ml:id xml:space="preserve">volt</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="625"/>
		</region>
		<region region-id="2193" left="60" top="7130.4" width="103.2" height="27" align-x="78" align-y="7146" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">R1</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve">R2</ml:id>
						<ml:parens>
							<ml:apply>
								<ml:minus/>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">Vout</ml:id>
									<ml:apply>
										<ml:mult/>
										<ml:real>0.97</ml:real>
										<ml:id xml:space="preserve">volt</ml:id>
									</ml:apply>
								</ml:apply>
								<ml:real>1</ml:real>
							</ml:apply>
						</ml:parens>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="626"/>
		</region>
		<region region-id="2194" left="198" top="7132.2" width="83.4" height="17.4" align-x="214.8" align-y="7146" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">R1</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>4684907.2164948452</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="ohm"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="627"/>
		</region>
		<region region-id="2195" left="342" top="7132.2" width="96" height="17.4" align-x="381.6" align-y="7146" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">R1actual</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:real>4.7</ml:real>
							<ml:apply>
								<ml:pow/>
								<ml:real>10</ml:real>
								<ml:real>6</ml:real>
							</ml:apply>
						</ml:apply>
						<ml:id xml:space="preserve">ohm</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="628"/>
		</region>
		<region region-id="2208" left="78" top="7167" width="28.2" height="12.6" align-x="90.6" align-y="7176" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">n</ml:id>
					<ml:real>.8</ml:real>
				</ml:define>
			</math>
			<rendering item-idref="629"/>
		</region>
		<region region-id="2196" left="72" top="7190.4" width="75" height="27" align-x="82.2" align-y="7206" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">I</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve">Vout</ml:id>
						<ml:apply>
							<ml:plus/>
							<ml:id xml:space="preserve">R1actual</ml:id>
							<ml:id xml:space="preserve">R2</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="630"/>
		</region>
		<region region-id="2197" left="198" top="7192.2" width="82.2" height="17.4" align-x="207" align-y="7206" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">I</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>2.3474178403755868E-06</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="ampere"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="631"/>
		</region>
		<region region-id="2198" left="342" top="7190.4" width="150.6" height="27" align-x="388.8" align-y="7206" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="actual">Vout</ml:id>
					<ml:apply>
						<ml:mult style="auto-select"/>
						<ml:apply>
							<ml:mult/>
							<ml:real font="0">0.97</ml:real>
							<ml:id xml:space="preserve">volt</ml:id>
						</ml:apply>
						<ml:parens>
							<ml:apply>
								<ml:plus/>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">R1actual</ml:id>
									<ml:id xml:space="preserve">R2</ml:id>
								</ml:apply>
								<ml:real>1</ml:real>
							</ml:apply>
						</ml:parens>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="632"/>
		</region>
		<region region-id="2199" left="348" top="7221" width="93" height="16.2" align-x="393.6" align-y="7230" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="actual">Vout</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>12.035533980582525</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="volt"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="633"/>
		</region>
		<region region-id="2200" left="78" top="7228.2" width="93" height="21" align-x="120" align-y="7242" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="R1">Power</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve">R1actual</ml:id>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">I</ml:id>
							<ml:real>2</ml:real>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="634"/>
		</region>
		<region region-id="2201" left="198" top="7228.2" width="111" height="21" align-x="238.8" align-y="7242" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="R1">Power</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>2.5898741431373845E-05</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="watt"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="635"/>
		</region>
		<region region-id="2202" left="78" top="7258.2" width="71.4" height="21" align-x="120" align-y="7272" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="R2">Power</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve">R2</ml:id>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">I</ml:id>
							<ml:real>2</ml:real>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="636"/>
		</region>
		<region region-id="2203" left="198" top="7258.2" width="111" height="21" align-x="238.8" align-y="7272" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="R2">Power</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>2.2702726531331967E-06</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="watt"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="637"/>
		</region>
		<region region-id="2209" left="78" top="7298.4" width="157.2" height="27" align-x="93.6" align-y="7314" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Iq</ml:id>
					<ml:apply>
						<ml:plus/>
						<ml:apply>
							<ml:mult/>
							<ml:real>.0000017</ml:real>
							<ml:id xml:space="preserve">amp</ml:id>
						</ml:apply>
						<ml:apply>
							<ml:mult style="auto-select"/>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">Vout</ml:id>
									<ml:apply>
										<ml:plus/>
										<ml:id xml:space="preserve">R1</ml:id>
										<ml:id xml:space="preserve">R2</ml:id>
									</ml:apply>
								</ml:apply>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">Vout</ml:id>
									<ml:id xml:space="preserve">Vin</ml:id>
								</ml:apply>
							</ml:apply>
							<ml:apply>
								<ml:div/>
								<ml:real>1</ml:real>
								<ml:id xml:space="preserve">n</ml:id>
							</ml:apply>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="638"/>
		</region>
		<region region-id="2212" left="312" top="7306.2" width="87.6" height="17.4" align-x="326.4" align-y="7320" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Iq</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>2.9612690707350905E-06</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="ampere"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="639"/>
		</region>
		<region region-id="2663" left="312" top="7359" width="321" height="32.4" align-x="316.8" align-y="7368" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">R1 on app note = R10 on 1750A eval board</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"/>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">R2 on data sheet = R11 on 1750A eval board</p>
			</text>
		</region>
		<region region-id="2664" left="24" top="7371" width="79.2" height="12.6" align-x="42" align-y="7380" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">R1</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>1000000</ml:real>
						<ml:id xml:space="preserve">ohm</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="640"/>
		</region>
		<region region-id="2665" left="132" top="7371" width="160.8" height="10.8" align-x="136.8" align-y="7380" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">R1 is tied to Vout<sp count="2"/>R2 goes to ground</p>
			</text>
		</region>
		<region region-id="2666" left="24" top="7389" width="61.2" height="12.6" align-x="49.8" align-y="7398" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Vout</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>12</ml:real>
						<ml:id xml:space="preserve">volt</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="641"/>
		</region>
		<region region-id="2667" left="162" top="7389" width="55.8" height="12.6" align-x="182.4" align-y="7398" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Vin</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>28</ml:real>
						<ml:id xml:space="preserve">volt</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="642"/>
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			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">R2</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve">R1</ml:id>
						<ml:parens>
							<ml:apply>
								<ml:minus/>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">Vout</ml:id>
									<ml:apply>
										<ml:mult/>
										<ml:real>.97</ml:real>
										<ml:id xml:space="preserve">volt</ml:id>
									</ml:apply>
								</ml:apply>
								<ml:real>1</ml:real>
							</ml:apply>
						</ml:parens>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="643"/>
		</region>
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			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">R2</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>87941.976427923844</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="ohm"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="644"/>
		</region>
		<region region-id="2687" left="306" top="7413" width="82.2" height="12.6" align-x="345.6" align-y="7422" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">R2actual</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>86600</ml:real>
						<ml:id xml:space="preserve">Ω</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="645"/>
		</region>
		<region region-id="2671" left="42" top="7449" width="28.2" height="12.6" align-x="54.6" align-y="7458" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">n</ml:id>
					<ml:real>.8</ml:real>
				</ml:define>
			</math>
			<rendering item-idref="646"/>
		</region>
		<region region-id="2672" left="36" top="7472.4" width="75" height="27" align-x="46.2" align-y="7488" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">I</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve">Vout</ml:id>
						<ml:apply>
							<ml:plus/>
							<ml:id xml:space="preserve">R1</ml:id>
							<ml:id xml:space="preserve">R2actual</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="647"/>
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			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">I</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>1.1043622308117063E-05</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="ampere"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="648"/>
		</region>
		<region region-id="2674" left="306" top="7472.4" width="150.6" height="27" align-x="352.8" align-y="7488" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="actual">Vout</ml:id>
					<ml:apply>
						<ml:mult style="auto-select"/>
						<ml:apply>
							<ml:mult/>
							<ml:real font="0">0.97</ml:real>
							<ml:id xml:space="preserve">volt</ml:id>
						</ml:apply>
						<ml:parens>
							<ml:apply>
								<ml:plus/>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">R1</ml:id>
									<ml:id xml:space="preserve">R2actual</ml:id>
								</ml:apply>
								<ml:real>1</ml:real>
							</ml:apply>
						</ml:parens>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="649"/>
		</region>
		<region region-id="2675" left="312" top="7503" width="93" height="16.2" align-x="357.6" align-y="7512" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="actual">Vout</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>12.170923787528867</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="volt"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="650"/>
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		<region region-id="2676" left="42" top="7510.2" width="93" height="21" align-x="84" align-y="7524" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="R1">Power</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve">R1actual</ml:id>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">I</ml:id>
							<ml:real>2</ml:real>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="651"/>
		</region>
		<region region-id="2677" left="162" top="7510.2" width="115.8" height="21" align-x="202.8" align-y="7524" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="R1">Power</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>0.00057321949031640188</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="watt"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="652"/>
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			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="R2">Power</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve">R2</ml:id>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">I</ml:id>
							<ml:real>2</ml:real>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="653"/>
		</region>
		<region region-id="2679" left="162" top="7540.2" width="115.8" height="21" align-x="202.8" align-y="7554" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="R2">Power</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>1.0725543596900327E-05</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="watt"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="654"/>
		</region>
		<region region-id="2680" left="42" top="7580.4" width="157.2" height="27" align-x="57.6" align-y="7596" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Iq</ml:id>
					<ml:apply>
						<ml:plus/>
						<ml:apply>
							<ml:mult/>
							<ml:real>.0000017</ml:real>
							<ml:id xml:space="preserve">amp</ml:id>
						</ml:apply>
						<ml:apply>
							<ml:mult style="auto-select"/>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">Vout</ml:id>
									<ml:apply>
										<ml:plus/>
										<ml:id xml:space="preserve">R1</ml:id>
										<ml:id xml:space="preserve">R2</ml:id>
									</ml:apply>
								</ml:apply>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">Vout</ml:id>
									<ml:id xml:space="preserve">Vin</ml:id>
								</ml:apply>
							</ml:apply>
							<ml:apply>
								<ml:div/>
								<ml:real>1</ml:real>
								<ml:id xml:space="preserve">n</ml:id>
							</ml:apply>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="655"/>
		</region>
		<region region-id="2681" left="276" top="7588.2" width="87.6" height="17.4" align-x="290.4" align-y="7602" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Iq</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>7.60892857142857E-06</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="ampere"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="656"/>
		</region>
		<region region-id="2213" left="48" top="7653" width="74.4" height="12.6" align-x="66" align-y="7662" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">R2</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>412000</ml:real>
						<ml:id xml:space="preserve">ohm</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="657"/>
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		<region region-id="2214" left="156" top="7653" width="152.4" height="10.8" align-x="160.8" align-y="7662" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">R1 is tied to Vout<sp count="2"/>R2 goes to ground</p>
			</text>
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			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Vout</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>5</ml:real>
						<ml:id xml:space="preserve">volt</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="658"/>
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		<region region-id="2216" left="186" top="7671" width="55.8" height="12.6" align-x="206.4" align-y="7680" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Vin</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>28</ml:real>
						<ml:id xml:space="preserve">volt</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="659"/>
		</region>
		<region region-id="2217" left="48" top="7688.4" width="103.2" height="27" align-x="66" align-y="7704" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">R1</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve">R2</ml:id>
						<ml:parens>
							<ml:apply>
								<ml:minus/>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">Vout</ml:id>
									<ml:apply>
										<ml:mult/>
										<ml:real>0.97</ml:real>
										<ml:id xml:space="preserve">volt</ml:id>
									</ml:apply>
								</ml:apply>
								<ml:real>1</ml:real>
							</ml:apply>
						</ml:parens>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="660"/>
		</region>
		<region region-id="2218" left="186" top="7690.2" width="83.4" height="17.4" align-x="202.8" align-y="7704" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">R1</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>1711711.3402061858</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="ohm"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="661"/>
		</region>
		<region region-id="2219" left="330" top="7690.2" width="100.8" height="17.4" align-x="369.6" align-y="7704" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">R1actual</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:real>1.74</ml:real>
							<ml:apply>
								<ml:pow/>
								<ml:real>10</ml:real>
								<ml:real>6</ml:real>
							</ml:apply>
						</ml:apply>
						<ml:id xml:space="preserve">ohm</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="662"/>
		</region>
		<region region-id="2220" left="66" top="7725" width="28.2" height="12.6" align-x="78.6" align-y="7734" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">n</ml:id>
					<ml:real>.8</ml:real>
				</ml:define>
			</math>
			<rendering item-idref="663"/>
		</region>
		<region region-id="2615" left="48" top="7746" width="154.2" height="12.6" align-x="48" align-y="7746" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<ole clsid="{00020830-0000-0000-C000-000000000046}" type="embedded" item-idref="664"/>
			<rendering item-idref="665"/>
		</region>
		<region region-id="2221" left="60" top="7748.4" width="75" height="27" align-x="70.2" align-y="7764" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">I</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve">Vout</ml:id>
						<ml:apply>
							<ml:plus/>
							<ml:id xml:space="preserve">R1actual</ml:id>
							<ml:id xml:space="preserve">R2</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="666"/>
		</region>
		<region region-id="2222" left="186" top="7750.2" width="82.2" height="17.4" align-x="195" align-y="7764" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">I</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>2.3234200743494424E-06</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="ampere"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="667"/>
		</region>
		<region region-id="2223" left="330" top="7748.4" width="150.6" height="27" align-x="376.8" align-y="7764" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="actual">Vout</ml:id>
					<ml:apply>
						<ml:mult style="auto-select"/>
						<ml:apply>
							<ml:mult/>
							<ml:real font="0">0.97</ml:real>
							<ml:id xml:space="preserve">volt</ml:id>
						</ml:apply>
						<ml:parens>
							<ml:apply>
								<ml:plus/>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">R1actual</ml:id>
									<ml:id xml:space="preserve">R2</ml:id>
								</ml:apply>
								<ml:real>1</ml:real>
							</ml:apply>
						</ml:parens>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="668"/>
		</region>
		<region region-id="2224" left="336" top="7779" width="88.2" height="16.2" align-x="381.6" align-y="7788" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="actual">Vout</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>5.0666019417475727</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="volt"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="669"/>
		</region>
		<region region-id="2225" left="66" top="7786.2" width="93" height="21" align-x="108" align-y="7800" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="R1">Power</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve">R1actual</ml:id>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">I</ml:id>
							<ml:real>2</ml:real>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="670"/>
		</region>
		<region region-id="2226" left="186" top="7786.2" width="115.8" height="21" align-x="226.8" align-y="7800" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="R1">Power</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>9.3930086648885441E-06</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="watt"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="671"/>
		</region>
		<region region-id="2227" left="66" top="7816.2" width="71.4" height="21" align-x="108" align-y="7830" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="R2">Power</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve">R2</ml:id>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">I</ml:id>
							<ml:real>2</ml:real>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="672"/>
		</region>
		<region region-id="2228" left="186" top="7816.2" width="115.8" height="21" align-x="226.8" align-y="7830" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="R2">Power</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>2.2240917068586667E-06</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="watt"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="673"/>
		</region>
		<region region-id="2229" left="66" top="7856.4" width="157.2" height="27" align-x="81.6" align-y="7872" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Iq</ml:id>
					<ml:apply>
						<ml:plus/>
						<ml:apply>
							<ml:mult/>
							<ml:real>.0000017</ml:real>
							<ml:id xml:space="preserve">amp</ml:id>
						</ml:apply>
						<ml:apply>
							<ml:mult style="auto-select"/>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">Vout</ml:id>
									<ml:apply>
										<ml:plus/>
										<ml:id xml:space="preserve">R1</ml:id>
										<ml:id xml:space="preserve">R2</ml:id>
									</ml:apply>
								</ml:apply>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">Vout</ml:id>
									<ml:id xml:space="preserve">Vin</ml:id>
								</ml:apply>
							</ml:apply>
							<ml:apply>
								<ml:div/>
								<ml:real>1</ml:real>
								<ml:id xml:space="preserve">n</ml:id>
							</ml:apply>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="674"/>
		</region>
		<region region-id="2230" left="300" top="7864.2" width="87.6" height="17.4" align-x="314.4" align-y="7878" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Iq</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>2.225528779472954E-06</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="ampere"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="675"/>
		</region>
		<region region-id="2231" left="48" top="7947" width="74.4" height="12.6" align-x="66" align-y="7956" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">R2</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>412000</ml:real>
						<ml:id xml:space="preserve">ohm</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="676"/>
		</region>
		<region region-id="2232" left="156" top="7947" width="152.4" height="10.8" align-x="160.8" align-y="7956" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">R1 is tied to Vout<sp count="2"/>R2 goes to ground</p>
			</text>
		</region>
		<region region-id="2233" left="48" top="7965" width="63.6" height="12.6" align-x="73.8" align-y="7974" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Vout</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>3.3</ml:real>
						<ml:id xml:space="preserve">volt</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="677"/>
		</region>
		<region region-id="2234" left="186" top="7965" width="55.8" height="12.6" align-x="206.4" align-y="7974" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Vin</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:real>28</ml:real>
						<ml:id xml:space="preserve">volt</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="678"/>
		</region>
		<region region-id="2235" left="48" top="7982.4" width="103.2" height="27" align-x="66" align-y="7998" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">R1</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve">R2</ml:id>
						<ml:parens>
							<ml:apply>
								<ml:minus/>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">Vout</ml:id>
									<ml:apply>
										<ml:mult/>
										<ml:real>0.97</ml:real>
										<ml:id xml:space="preserve">volt</ml:id>
									</ml:apply>
								</ml:apply>
								<ml:real>1</ml:real>
							</ml:apply>
						</ml:parens>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="679"/>
		</region>
		<region region-id="2236" left="186" top="7984.2" width="83.4" height="17.4" align-x="202.8" align-y="7998" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">R1</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>989649.48453608248</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="ohm"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="680"/>
		</region>
		<region region-id="2237" left="330" top="7984.2" width="88.8" height="17.4" align-x="369.6" align-y="7998" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">R1actual</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:apply>
							<ml:mult/>
							<ml:real>1</ml:real>
							<ml:apply>
								<ml:pow/>
								<ml:real>10</ml:real>
								<ml:real>6</ml:real>
							</ml:apply>
						</ml:apply>
						<ml:id xml:space="preserve">ohm</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="681"/>
		</region>
		<region region-id="2238" left="66" top="8019" width="28.2" height="12.6" align-x="78.6" align-y="8028" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">n</ml:id>
					<ml:real>.8</ml:real>
				</ml:define>
			</math>
			<rendering item-idref="682"/>
		</region>
		<region region-id="2239" left="60" top="8042.4" width="75" height="27" align-x="70.2" align-y="8058" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">I</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve">Vout</ml:id>
						<ml:apply>
							<ml:plus/>
							<ml:id xml:space="preserve">R1actual</ml:id>
							<ml:id xml:space="preserve">R2</ml:id>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="683"/>
		</region>
		<region region-id="2240" left="186" top="8044.2" width="82.2" height="17.4" align-x="195" align-y="8058" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">I</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>2.337110481586402E-06</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="ampere"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="684"/>
		</region>
		<region region-id="2241" left="330" top="8042.4" width="150.6" height="27" align-x="376.8" align-y="8058" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="actual">Vout</ml:id>
					<ml:apply>
						<ml:mult style="auto-select"/>
						<ml:apply>
							<ml:mult/>
							<ml:real font="0">0.97</ml:real>
							<ml:id xml:space="preserve">volt</ml:id>
						</ml:apply>
						<ml:parens>
							<ml:apply>
								<ml:plus/>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">R1actual</ml:id>
									<ml:id xml:space="preserve">R2</ml:id>
								</ml:apply>
								<ml:real>1</ml:real>
							</ml:apply>
						</ml:parens>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="685"/>
		</region>
		<region region-id="2242" left="336" top="8073" width="88.2" height="16.2" align-x="381.6" align-y="8082" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="actual">Vout</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>3.3243689320388348</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="volt"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="686"/>
		</region>
		<region region-id="2243" left="66" top="8080.2" width="93" height="21" align-x="108" align-y="8094" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="R1">Power</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve">R1actual</ml:id>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">I</ml:id>
							<ml:real>2</ml:real>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="687"/>
		</region>
		<region region-id="2244" left="186" top="8080.2" width="115.8" height="21" align-x="226.8" align-y="8094" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="R1">Power</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>5.4620854031410236E-06</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="watt"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="688"/>
		</region>
		<region region-id="2245" left="66" top="8110.2" width="71.4" height="21" align-x="108" align-y="8124" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="R2">Power</ml:id>
					<ml:apply>
						<ml:mult/>
						<ml:id xml:space="preserve">R2</ml:id>
						<ml:apply>
							<ml:pow/>
							<ml:id xml:space="preserve">I</ml:id>
							<ml:real>2</ml:real>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="689"/>
		</region>
		<region region-id="2246" left="186" top="8110.2" width="111" height="21" align-x="226.8" align-y="8124" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve" subscript="R2">Power</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>2.2503791860941017E-06</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="watt"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="690"/>
		</region>
		<region region-id="2247" left="66" top="8150.4" width="157.2" height="27" align-x="81.6" align-y="8166" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Iq</ml:id>
					<ml:apply>
						<ml:plus/>
						<ml:apply>
							<ml:mult/>
							<ml:real>.0000017</ml:real>
							<ml:id xml:space="preserve">amp</ml:id>
						</ml:apply>
						<ml:apply>
							<ml:mult style="auto-select"/>
							<ml:apply>
								<ml:mult/>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">Vout</ml:id>
									<ml:apply>
										<ml:plus/>
										<ml:id xml:space="preserve">R1</ml:id>
										<ml:id xml:space="preserve">R2</ml:id>
									</ml:apply>
								</ml:apply>
								<ml:apply>
									<ml:div/>
									<ml:id xml:space="preserve">Vout</ml:id>
									<ml:id xml:space="preserve">Vin</ml:id>
								</ml:apply>
							</ml:apply>
							<ml:apply>
								<ml:div/>
								<ml:real>1</ml:real>
								<ml:id xml:space="preserve">n</ml:id>
							</ml:apply>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="691"/>
		</region>
		<region region-id="2248" left="300" top="8158.2" width="87.6" height="17.4" align-x="314.4" align-y="8172" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30">
					<ml:id xml:space="preserve">Iq</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math30">
						<unitedValue>
							<ml:real>2.0468489944521497E-06</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="ampere"/>
							</unitMonomial>
						</unitedValue>
					</result>
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