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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="158.25" width="100.5" height="31.5" align-x="54.75" 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="75.75" height="12.75" align-x="173.25" 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="176.25" width="99.75" height="33.75" align-x="1005" 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="182.25" width="234" height="42.75" align-x="1130.25" 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> </result> </ml:eval> </ml:define> </math> <rendering item-idref="24"/> </region> <region region-id="210" left="24" top="206.25" width="114" height="52.5" align-x="60" 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"/> </region> <region region-id="211" left="144" top="213" width="76.5" height="12.75" align-x="178.5" 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: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> </ml:eval> </math> <rendering item-idref="26"/> </region> <region region-id="329" left="240" top="213" width="72.75" height="12.75" align-x="274.5" 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: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> </result> </ml:eval> </math> <rendering item-idref="27"/> </region> <region region-id="2040" left="1026" top="279" width="31.5" height="12.75" align-x="1044.75" 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> </ml:define> </math> <rendering item-idref="28"/> </region> <region region-id="874" left="450" top="290.25" width="75.75" height="24" align-x="470.25" 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"> MEWASA bellows </text> </region> <region region-id="897" left="12" top="291.75" width="242.25" 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"> <f size="16"> Bellows/Diaphragm Calculations </f> </text> </region> <region region-id="875" left="780" top="296.25" width="94.5" height="42.75" align-x="836.25" 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="308.25" width="87.75" height="27.75" align-x="524.25" 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="302.25" width="90" height="33.75" align-x="992.25" 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="308.25" width="147.75" height="42.75" align-x="1111.5" 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="115.5" height="16.5" align-x="668.25" 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="320.25" width="107.25" height="33.75" align-x="70.5" 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="320.25" width="92.25" height="33.75" align-x="183" 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="326.25" width="116.25" height="33.75" align-x="303" 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="338.25" width="57.75" height="33.75" align-x="1600.5" 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="99" height="12.75" align-x="1890.75" 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="86.25" height="16.5" align-x="528" 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="90" height="16.5" align-x="657.75" 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="155.25" height="12.75" align-x="1017.75" 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="338.25" width="101.25" height="33.75" align-x="1190.25" 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="344.25" width="106.5" height="42.75" align-x="1325.25" 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="39.75" height="12.75" align-x="1396.5" 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="39.75" height="12.75" align-x="1452" 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="96.75" height="12.75" align-x="1911" 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="53.25" height="16.5" align-x="96.75" 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="92.25" height="16.5" align-x="216.75" align-y="384" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" 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</result> </ml:eval> </math> <rendering item-idref="90"/> </region> <region region-id="1144" left="948" top="525" width="119.25" height="16.5" align-x="1029" align-y="534" 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="increase">Buoyancy</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real font="0">.001</ml:real> <ml:id xml:space="preserve">kgf</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="91"/> </region> <region region-id="915" left="342" top="531" width="114" height="16.5" align-x="417.75" align-y="540" 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="height">internalRes</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">in</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>3.9641757218985725</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="92"/> </region> <region region-id="1145" left="1104" top="525" width="154.5" height="22.5" align-x="1183.5" align-y="540" 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="increase">Buoyancy</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.0022046226218487759</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="93"/> </region> <region region-id="2318" left="1818" top="524.25" width="163.5" height="42.75" align-x="1896" align-y="540" 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">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/> <ml:id xml:space="preserve">resBellowsID</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="94"/> </region> <region region-id="1172" left="1470" top="537" width="44.25" height="12.75" align-x="1486.5" align-y="546" 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>12</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="95"/> </region> <region region-id="1173" left="1530" top="537" width="35.25" height="12.75" align-x="1542" align-y="546" 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">L</ml:id> <ml:apply> <ml:mult/> <ml:real>9</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="96"/> </region> <region region-id="2026" left="24" top="573" width="72" height="12.75" align-x="57.75" 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:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">CylDia</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="97"/> </region> <region region-id="2027" left="138" top="566.25" width="92.25" height="27.75" align-x="177.75" 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:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">CylArea</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">CylDia</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="98"/> </region> <region region-id="2028" left="252" top="567" width="93.75" height="18.75" align-x="290.25" 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="180.75" height="12.75" align-x="678.75" 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="560.25" width="103.5" height="33.75" align-x="1298.25" 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="114.75" height="12.75" align-x="1900.5" 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="586.5" width="181.5" height="31.5" align-x="1350" 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="614.25" width="133.5" height="12" 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"> Buoyancy Engine Compliance </text> </region> <region region-id="1729" left="180" top="608.25" width="138" height="27.75" align-x="285.75" 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="608.25" width="237.75" height="27.75" align-x="432.75" 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="608.25" width="174.75" height="27.75" align-x="675" 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="608.25" width="145.5" height="48.75" align-x="876" 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="626.25" width="125.25" height="33.75" align-x="431.25" 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="626.25" width="112.5" height="33.75" align-x="679.5" 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="662.25" width="127.5" height="27.75" align-x="880.5" 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="698.25" width="118.5" height="12" 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"> Tube Reservoir calculations </text> </region> <region region-id="2347" left="750" top="705" width="40.5" height="12.75" align-x="770.25" 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="53.25" height="12.75" align-x="835.5" 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="62.25" height="12.75" align-x="127.5" 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="39.75" height="12.75" align-x="172.5" 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="62.25" height="12.75" align-x="257.25" 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="60.75" height="12.75" align-x="345" 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="710.25" width="146.25" height="27.75" align-x="432" 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="75" height="12.75" align-x="640.5" 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="716.25" width="68.25" height="33.75" align-x="834" 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="62.25" height="12.75" align-x="127.5" 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="46.5" height="12.75" align-x="178.5" 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="62.25" height="12.75" align-x="263.25" 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="60.75" height="12.75" align-x="351" 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="746.25" width="146.25" height="27.75" align-x="438" 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="75" height="12.75" align-x="646.5" 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="65.25" height="12.75" align-x="844.5" 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="770.25" width="119.25" height="33.75" 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="114.75" height="12.75" align-x="128.25" 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="190.5" height="12.75" align-x="105.75" 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="86.25" height="12.75" align-x="324" 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="133.5" height="12.75" align-x="471" 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="830.25" width="459" height="27.75" align-x="140.25" 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="107.25" height="12.75" align-x="126.75" 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="2866" left="30" top="891.75" width="226.5" height="18" align-x="30" align-y="906" 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"> <f size="16"> McMaster Bellows Calculation </f> </text> </region> <region region-id="2858" left="54" top="915" width="75.75" height="16.5" align-x="106.5" align-y="924" 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="mcmaster">id</ml:id> <ml:apply> <ml:mult/> <ml:real>5</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="134"/> </region> <region region-id="2873" left="156" top="915" width="90" height="16.5" align-x="211.5" align-y="924" 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="mcmaster">od</ml:id> <ml:apply> <ml:mult/> <ml:real>6.75</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="135"/> </region> <region region-id="2872" left="282" top="915" width="136.5" height="16.5" align-x="380.25" align-y="924" 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="mcmaster">strokeLength</ml:id> <ml:apply> <ml:mult/> <ml:real>131</ml:real> <ml:id xml:space="preserve">mm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="136"/> </region> <region region-id="2869" left="60" top="950.25" width="251.25" height="27.75" align-x="100.5" 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">volume1</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" subscript="mcmaster">id</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="mcmaster">strokeLength</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.6594669940443052</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="liter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="137"/> </region> <region region-id="2862" left="60" top="992.25" width="448.5" height="27.75" align-x="100.5" 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">volume2</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:minus/> <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="mcmaster">od</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="mcmaster">strokeLength</ml:id> </ml:apply> <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="mcmaster">id</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="mcmaster">strokeLength</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:real>0.5</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.68245580130072</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="liter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="138"/> </region> <region region-id="2870" left="60" top="1035" width="190.5" height="12.75" align-x="117.75" align-y="1044" 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="245384700" 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="245384220" 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">d7aa9a46c86a2eed1841a0e1a264bcdc</contentHash> <ml:define> <ml:id xml:space="preserve">volumeTotal</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">volume1</ml:id> <ml:id xml:space="preserve">volume2</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.3419227953450252</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="liter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </ml:provenance> </math> <rendering item-idref="139"> <element-image-map> <box left="1.5" top="0.75" width="189" height="11.25" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="1174" left="1470" top="1058.25" width="64.5" height="27.75" align-x="1491" 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: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="140"/> </region> <region region-id="1175" left="1560" top="1065" width="60" height="12.75" align-x="1579.5" 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: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"> 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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="201"/> </region> <region region-id="956" left="6" top="1611.75" width="228.75" height="18" align-x="19.5" align-y="1626" 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"> <f size="16"> Benthic Boundary Layer Calcs </f> </text> </region> <region region-id="1913" left="330" top="1641" width="66" height="16.5" align-x="368.25" 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: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="202"/> </region> <region region-id="1914" left="420" top="1641" width="81" height="16.5" align-x="473.25" 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: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="203"/> </region> <region region-id="1912" left="228" top="1640.25" width="78" height="27.75" align-x="269.25" align-y="1656" 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="204"/> </region> <region region-id="271" left="30" top="1646.25" width="40.5" height="31.5" align-x="42.75" align-y="1662" 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="205"/> </region> <region region-id="272" left="102" top="1640.25" width="93" height="33.75" align-x="113.25" align-y="1662" 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="206"/> </region> <region region-id="296" left="24" top="1689" width="31.5" height="16.5" align-x="42.75" align-y="1698" 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="207"/> </region> <region region-id="1919" left="96" top="1678.5" width="117" height="31.5" align-x="113.25" align-y="1698" 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="208"/> </region> <region region-id="1917" left="336" top="1689" width="133.5" height="16.5" align-x="380.25" align-y="1698" 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="209"/> </region> <region region-id="1918" left="504" top="1683" width="75.75" height="22.5" align-x="546.75" align-y="1698" 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="210"/> </region> <region region-id="1920" left="228" top="1689" width="74.25" height="18.75" align-x="243.75" align-y="1704" 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="211"/> </region> <region region-id="1939" left="474" top="1713" width="136.5" height="16.5" align-x="582.75" align-y="1722" 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="212"/> </region> <region region-id="300" left="18" top="1720.5" width="168" height="37.5" align-x="44.25" align-y="1746" 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="213"/> </region> <region region-id="1923" left="210" top="1737" width="67.5" height="12.75" align-x="234.75" align-y="1746" 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> 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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="216"/> </region> <region region-id="1950" left="672" top="1743" width="140.25" height="12.75" align-x="759.75" align-y="1752" 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="217"/> </region> <region region-id="1942" left="474" top="1766.25" width="206.25" height="31.5" align-x="552.75" align-y="1782" 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="218"/> </region> <region region-id="1951" left="696" top="1773" width="120" height="12.75" align-x="773.25" align-y="1782" 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="219"/> </region> <region region-id="323" left="24" top="1768.5" width="75" height="31.5" align-x="53.25" align-y="1788" 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="220"/> </region> <region region-id="324" left="114" top="1779" width="35.25" height="16.5" align-x="129.75" align-y="1788" 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="221"/> </region> <region region-id="327" left="192" top="1772.25" width="63" height="31.5" align-x="207" align-y="1788" 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> <rendering item-idref="222"/> </region> <region region-id="328" left="306" top="1773" width="87.75" height="18.75" align-x="319.5" align-y="1788" 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">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="223"/> </region> <region region-id="1952" left="696" top="1791" width="120" height="12.75" align-x="773.25" align-y="1800" 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="224"/> </region> <region region-id="1953" left="696" top="1809" width="117.75" height="12.75" align-x="773.25" align-y="1818" 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> <rendering item-idref="225"/> </region> <region region-id="2161" left="486" top="1808.25" width="112.5" height="27.75" align-x="541.5" align-y="1824" 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">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:id xml:space="preserve" subscript="float">Dia</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="226"/> </region> <region region-id="307" left="48" top="1821" width="79.5" height="12.75" align-x="96.75" align-y="1830" 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">NumSteps</ml:id> <ml:real>10000</ml:real> </ml:define> </math> <rendering item-idref="227"/> </region> <region region-id="1959" left="156" top="1821" width="71.25" height="12.75" align-x="165" align-y="1830" 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">i</ml:id> <ml:range> <ml:real>0</ml:real> <ml:id xml:space="preserve">NumSteps</ml:id> </ml:range> </ml:define> </math> <rendering item-idref="228"/> </region> <region region-id="1960" left="258" top="1821" width="80.25" height="18" align-x="270.75" align-y="1830" 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:apply> <ml:indexer/> <ml:id xml:space="preserve">z</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">i</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:parens> <ml:real>0.001</ml:real> </ml:apply> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:define> </math> <rendering 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region-id="2052" left="1236" top="2511" width="111.75" height="12.75" align-x="1273.5" align-y="2520" 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="281"/> </region> <region region-id="2069" left="1368" top="2504.25" width="76.5" height="27.75" align-x="1407.75" align-y="2520" 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="282"/> </region> <region region-id="1279" left="540" top="2517" width="101.25" height="22.5" align-x="604.5" align-y="2532" 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="283"/> </region> <region region-id="1280" left="654" top="2523" width="84" height="16.5" align-x="699" align-y="2532" 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="284"/> </region> <region region-id="1281" left="738" top="2516.25" width="105.75" height="27.75" align-x="807" align-y="2532" 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="285"/> </region> <region region-id="1282" left="864" top="2523" width="86.25" height="12.75" 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xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="287"/> </region> <region region-id="2062" left="1230" top="2529" width="46.5" height="16.5" align-x="1247.25" align-y="2538" 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="288"/> </region> <region region-id="1115" left="12" top="2540.25" width="126" height="24" align-x="21.75" align-y="2550" 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"> Solve for the Reynolds number </text> </region> <region region-id="2621" left="216" top="2541" width="100.5" height="16.5" align-x="289.5" align-y="2550" 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="289"/> </region> <region region-id="1283" left="546" top="2553" width="251.25" height="22.5" align-x="632.25" 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xml:space="preserve">Velocity</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">in</ml:id> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>7.8740157480314972</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="299"/> </region> <region region-id="2050" left="1464" top="2582.25" width="96" height="33.75" align-x="1485.75" align-y="2598" 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="300"/> </region> <region region-id="2054" left="1248" top="2595" width="90" height="12.75" align-x="1295.25" align-y="2604" 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">DragForce</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.75187563239340494</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> 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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="408"/> </region> <region region-id="1233" left="12" top="4455.75" width="140.25" height="18" align-x="33" align-y="4470" 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"> <f 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<ml:real>1</ml:real> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="419"/> </region> <region region-id="1240" left="270" top="4581" width="78" height="16.5" align-x="306" align-y="4590" 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="420"/> </region> <region region-id="1241" left="270" top="4605" width="78.75" height="16.5" align-x="306" align-y="4614" show-border="false" show-highlight="false" 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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">Housing</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="429"/> </region> <region region-id="1248" left="174" top="4713" width="95.25" height="16.5" align-x="241.5" align-y="4722" 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">Housing</ml:id> <ml:apply> <ml:mult/> <ml:real>44</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="430"/> </region> <region region-id="1249" left="294" top="4706.25" width="190.5" height="27.75" align-x="348.75" 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xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="vol">Housing</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>36.242961832919256</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="liter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="432"/> </region> <region region-id="1251" left="84" top="4743" width="117" height="16.5" align-x="144.75" align-y="4752" 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="displaced">SW</ml:id> <ml:id xml:space="preserve" subscript="vol">Housing</ml:id> </ml:define> </math> <rendering item-idref="433"/> </region> <region region-id="1253" left="96" top="4768.5" width="90.75" height="31.5" align-x="114.75" 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">CB</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="length">Housing</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="434"/> </region> <region region-id="1982" left="216" top="4779" width="53.25" height="12.75" align-x="234.75" 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">CG</ml:id> <ml:apply> <ml:mult/> <ml:real>17.8</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="435"/> </region> <region region-id="1983" left="318" top="4779" width="93" height="12.75" align-x="359.25" 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:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">CG</ml:id> <ml:id xml:space="preserve">CB</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">cm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>-10.667999999999994</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="436"/> </region> <region region-id="1256" left="84" top="4820.25" width="84" height="27.75" align-x="93.75" align-y="4836" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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<unitedValue> <ml:real>8368.8293686922661</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="4"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="438"> <element-image-map> <box left="1.5" top="6.75" width="2.25" height="11.25" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="1258" left="312" top="4820.25" width="100.5" height="31.5" align-x="374.25" align-y="4836" 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">I</ml:id> <ml:id xml:space="preserve" subscript="displaced">SW</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>0.090909090909090912</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="439"/> </region> <region region-id="1259" left="84" top="4850.25" width="142.5" height="31.5" align-x="105.75" align-y="4866" 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="9396C628-50A2-4CFF-8610-D1CC3C740EFD" version-id="8921C9D5-7D57-4DB5-89BC-E58612D2E241" branch-id="00000000-0000-0000-0000-000000000000" revision-num="245387620" is-modified="false" region-id="0" href="E:\Calcs\GMcalc.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="9396C628-50A2-4CFF-8610-D1CC3C740EFD" version-id="8921C9D5-7D57-4DB5-89BC-E58612D2E241" branch-id="00000000-0000-0000-0000-000000000000" revision-num="245385980" is-modified="false" region-id="0" href="E:\Calcs\GMcalc.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">372d15ed8818e9bc388044444ce7eae5</contentHash> <ml:define> <ml:id xml:space="preserve">GM</ml:id> <ml:apply> <ml:minus/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">I</ml:id> <ml:id xml:space="preserve" subscript="displaced">SW</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">CG</ml:id> <ml:id xml:space="preserve">CB</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:define> </ml:provenance> </math> <rendering item-idref="440"> <element-image-map> <box left="1.5" 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lock-width="true"> <f size="16"> Volume Change </f> </text> </region> <region region-id="1989" left="822" top="4935.75" width="142.5" height="18" align-x="822" align-y="4950" 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"> <f size="16"> Roll Natural Period </f> </text> </region> <region region-id="1663" left="72" top="4947.75" width="145.5" height="18" align-x="72" align-y="4962" 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"> <f size="16"> Calculated Guess </f> </text> </region> <region region-id="1670" left="510" top="4947.75" width="193.5" height="18" align-x="510" align-y="4962" 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"> <f size="16"> Calculated from SW FEA </f> </text> </region> <region region-id="1413" left="90" top="4977" width="64.5" height="12.75" align-x="131.25" align-y="4986" 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="443"/> </region> <region region-id="1414" left="186" top="4977" width="60.75" height="12.75" align-x="219" align-y="4986" 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 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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="446"/> </region> <region region-id="1415" left="120" top="5007" width="82.5" height="12.75" align-x="168" align-y="5016" 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> 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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="451"/> </region> <region region-id="1992" left="864" top="5013" width="63" height="16.5" align-x="879" align-y="5022" 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="452"/> </region> <region region-id="1672" left="552" top="5031" width="99" height="22.5" align-x="585.75" align-y="5046" 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="453"/> </region> <region region-id="1417" left="66" top="5048.25" width="174.75" height="27.75" align-x="151.5" align-y="5064" 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 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align-x="588" align-y="5076" 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="456"/> </region> <region region-id="1999" left="852" top="5050.5" width="73.5" height="37.5" align-x="871.5" align-y="5076" 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="457"/> </region> <region region-id="2001" left="954" top="5067" width="57.75" height="16.5" align-x="972" align-y="5076" 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="458"/> </region> <region region-id="1674" left="552" top="5097" width="75" height="16.5" align-x="586.5" align-y="5106" 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="459"/> </region> <region region-id="1419" left="72" top="5096.25" width="279" height="27.75" align-x="147" align-y="5112" 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="460"/> </region> <region region-id="1422" left="360" top="5103" width="114" height="16.5" align-x="433.5" align-y="5112" 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="461"/> </region> <region region-id="1424" left="180" top="5145" width="209.25" height="16.5" align-x="222" align-y="5154" 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="462"/> </region> <region region-id="1425" left="408" top="5151" width="81" height="12.75" align-x="448.5" align-y="5160" 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="463"/> </region> <region region-id="1502" left="42" top="5217.75" width="343.5" height="32.25" align-x="42" align-y="5232" 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"> <f size="16"> Added Mass </f> <f size="12"> (3D ellipsoid from Irrotation Flow of Frictionless Fluids, Kennard DTMB 1967) </f> </text> </region> <region region-id="1664" left="576" top="5229.75" width="117" height="18" align-x="576" align-y="5244" 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"> <f size="16"> Failure Rate </f> </text> </region> <region region-id="1665" left="726" top="5241" width="42.75" height="12.75" align-x="756" align-y="5250" 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">floats</ml:id> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="464"/> </region> <region region-id="1666" left="540" top="5270.25" width="162" height="42.75" align-x="579" align-y="5286" 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="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> <rendering item-idref="465"/> </region> <region region-id="1667" left="738" top="5270.25" width="121.5" height="33.75" align-x="775.5" align-y="5286" 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> <rendering item-idref="466"/> </region> <region region-id="1530" left="30" top="5276.25" width="96" height="33.75" align-x="51.75" align-y="5292" 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="467"/> </region> <region region-id="1531" left="138" top="5283" width="36" height="12.75" align-x="150.75" align-y="5292" 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>7</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="468"/> </region> <region region-id="1555" left="192" top="5283" width="39" height="12.75" align-x="203.25" align-y="5292" 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>27</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="469"/> </region> <region region-id="1668" left="540" top="5318.25" width="90.75" height="33.75" align-x="594" align-y="5334" 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="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> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="470"/> </region> <region region-id="1535" left="78" top="5316.75" width="56.25" height="41.25" align-x="89.25" align-y="5340" 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="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> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="471"/> </region> <region region-id="1536" left="180" top="5318.25" width="133.5" height="39.75" align-x="197.25" align-y="5340" 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> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">ln</ml:id> <ml:apply> <ml:div/> <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> <ml:id xml:space="preserve">e</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="472"/> </region> <region region-id="1669" left="684" top="5324.25" width="100.5" height="33.75" align-x="736.5" align-y="5340" 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="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> </result> </ml:eval> </math> <rendering item-idref="473"/> </region> <region region-id="1540" left="180" top="5367" width="49.5" height="16.5" align-x="195.75" 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: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> </result> </ml:eval> </math> <rendering item-idref="474"/> </region> <region region-id="1539" left="84" top="5373" width="43.5" height="12.75" align-x="93.75" align-y="5382" 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> </result> </ml:eval> </math> <rendering item-idref="475"/> </region> <region region-id="1541" left="72" top="5408.25" width="114.75" height="27.75" align-x="120.75" 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" subscript="prime">mass</ml:id> <ml:apply> <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> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="476"/> </region> <region region-id="1548" left="210" top="5404.5" width="50.25" height="35.25" align-x="222" 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">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="477"/> </region> <region region-id="1549" left="312" top="5415" width="111" height="16.5" align-x="364.5" 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" subscript="added">mass</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve" subscript="prime">mass</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="478"/> </region> <region region-id="1551" left="78" top="5451" width="96.75" height="16.5" align-x="125.25" 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="prime">mass</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>93.174477094850246</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilogram"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="479"/> </region> <region region-id="1552" left="216" top="5451" width="44.25" height="12.75" align-x="226.5" 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">k</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.08588026415938374</ml:real> </result> </ml:eval> </math> <rendering item-idref="480"/> </region> <region region-id="1550" left="318" top="5451" width="91.5" height="16.5" align-x="369" 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="added">mass</ml:id> <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"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="481"/> </region> <region region-id="1660" left="72" top="5488.5" width="191.25" height="35.25" align-x="152.25" align-y="5508" 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">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="added">mass</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="prime">mass</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="482"/> </region> <region region-id="1554" left="288" top="5499" width="112.5" height="12.75" align-x="366.75" align-y="5508" 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>1.0858802641593837</ml:real> </result> </ml:eval> </math> <rendering item-idref="483"/> </region> <region region-id="1649" left="36" top="5529.75" width="343.5" height="32.25" align-x="36" align-y="5544" 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"> <f size="16"> Added Mass </f> <f size="12"> (3D ellipsoid from Handbook of Ocean Engineering) </f> </text> </region> <region region-id="1711" left="492" top="5553.75" width="343.5" height="18" align-x="492" align-y="5568" 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"> <f size="16"> Weight of trapped silt </f> </text> </region> <region region-id="2284" left="912" top="5553.75" width="343.5" height="18" align-x="912" align-y="5568" 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"> <f size="16"> Weight/Displacement of housing per inch </f> </text> </region> <region region-id="1650" left="90" top="5564.25" width="53.25" height="27.75" align-x="126" align-y="5580" 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> <ml:apply> <ml:div/> <ml:id xml:space="preserve">a</ml:id> <ml:id xml:space="preserve">b</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="484"/> </region> <region region-id="1651" left="180" top="5570.25" width="170.25" height="27.75" align-x="195.75" 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:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="2">k</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <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="485"/> </region> <region region-id="1700" left="528" top="5595" width="39.75" height="12.75" align-x="544.5" align-y="5604" 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>8</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="486"/> </region> <region region-id="1652" left="84" top="5613" width="68.25" height="12.75" align-x="118.5" 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: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="487"/> </region> <region region-id="1653" left="192" top="5613" width="48" height="16.5" align-x="206.25" 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: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="488"/> </region> <region region-id="2286" left="930" top="5606.25" width="86.25" height="33.75" align-x="983.25" 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">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="489"/> </region> <region region-id="2287" left="1056" top="5613" width="84" height="12.75" align-x="1105.5" 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">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="490"/> </region> <region region-id="2289" left="1152" top="5613" width="83.25" height="12.75" align-x="1205.25" 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">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="491"/> </region> <region region-id="1701" left="528" top="5619" width="72" height="12.75" align-x="548.25" 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">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="492"/> </region> <region region-id="1702" left="528" top="5643" width="52.5" height="12.75" align-x="541.5" align-y="5652" 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> </ml:apply> </ml:define> </math> <rendering item-idref="493"/> </region> <region region-id="1706" left="624" top="5636.25" width="74.25" height="33.75" align-x="648" align-y="5652" 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> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="494"/> </region> <region region-id="1658" left="96" top="5655" width="92.25" height="16.5" align-x="126" 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="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> </ml:apply> </ml:define> </math> <rendering item-idref="495"/> </region> <region region-id="1659" left="240" top="5655" width="73.5" height="16.5" align-x="268.5" 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: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="496"/> </region> <region region-id="2290" left="948" top="5654.25" width="314.25" height="27.75" align-x="1077" align-y="5670" 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="497"/> </region> <region region-id="1707" left="534" top="5678.25" width="103.5" height="27.75" align-x="555" align-y="5694" 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="498"/> </region> <region region-id="1708" left="660" top="5679" width="66" height="18.75" align-x="679.5" align-y="5694" 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="499"/> </region> <region region-id="2291" left="1014" top="5684.25" width="173.25" height="27.75" align-x="1141.5" 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">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="500"/> </region> <region region-id="1661" left="66" top="5698.5" width="168.75" height="35.25" align-x="146.25" align-y="5718" 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="501"/> </region> <region region-id="1662" left="282" top="5709" width="112.5" height="12.75" align-x="360.75" align-y="5718" 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="502"/> </region> <region region-id="1709" left="540" top="5709" width="79.5" height="16.5" align-x="576.75" align-y="5718" 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="503"/> </region> <region region-id="1710" left="654" top="5709" width="80.25" height="12.75" align-x="689.25" align-y="5718" 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="504"/> </region> <region region-id="2292" left="1020" top="5714.25" width="171" height="27.75" align-x="1147.5" 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: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="505"/> </region> <region region-id="2307" left="930" top="5750.25" width="96" height="33.75" align-x="951.75" align-y="5766" 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="506"/> </region> <region region-id="2308" left="1074" top="5750.25" width="240" height="27.75" align-x="1214.25" align-y="5766" 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="507"/> </region> <region region-id="1675" left="42" top="5775.75" width="343.5" height="18" align-x="42" align-y="5790" 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"> <f size="16"> Freeboard per kilo </f> </text> </region> <region region-id="2477" left="1080" top="5774.25" width="186.75" height="27.75" align-x="1218.75" align-y="5790" 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="508"/> </region> <region region-id="1688" left="510" top="5781.75" width="343.5" height="18" align-x="510" align-y="5796" 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"> <f size="16"> Reservoir check valve </f> </text> </region> <region region-id="1679" left="192" top="5804.25" width="96" height="33.75" align-x="213.75" align-y="5820" 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="509"/> </region> <region region-id="2478" left="1086" top="5804.25" width="184.5" height="27.75" align-x="1224.75" align-y="5820" 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="510"/> </region> <region region-id="1676" left="66" top="5817" width="50.25" height="12.75" align-x="86.25" align-y="5826" 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="511"/> </region> <region region-id="1690" left="510" top="5823" width="65.25" height="12.75" align-x="545.25" align-y="5832" 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="512"/> </region> <region region-id="1691" left="606" top="5816.25" width="95.25" height="27.75" align-x="647.25" align-y="5832" 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="513"/> </region> <region region-id="2474" left="912" top="5828.25" width="180" height="27.75" align-x="1053.75" align-y="5844" 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="514"/> </region> <region region-id="1677" left="66" top="5834.25" width="105.75" height="37.5" align-x="113.25" align-y="5850" 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="515"/> </region> <region region-id="1680" left="192" top="5834.25" width="93.75" height="27.75" align-x="237.75" align-y="5850" 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="516"/> </region> <region region-id="1692" left="510" top="5859" width="66.75" height="12.75" align-x="553.5" 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">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="517"/> </region> <region region-id="1693" left="612" top="5852.25" width="72.75" height="33.75" align-x="634.5" 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" 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="518"/> </region> <region region-id="2483" left="918" top="5877" width="426.75" height="12.75" align-x="1068.75" align-y="5886" 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="519"/> </region> <region region-id="1684" left="66" top="5883" width="50.25" height="12.75" align-x="86.25" align-y="5892" 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="520"/> </region> <region region-id="1694" left="516" top="5895" width="114.75" height="16.5" align-x="567" 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">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="521"/> </region> <region region-id="1695" left="672" top="5888.25" width="95.25" height="33.75" align-x="721.5" 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">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="522"/> </region> <region region-id="2485" left="924" top="5894.25" width="195" height="27.75" align-x="1073.25" 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">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="523"/> </region> <region region-id="1685" left="66" top="5900.25" width="105.75" height="37.5" align-x="113.25" align-y="5916" 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="524"/> </region> <region region-id="1686" left="192" top="5900.25" width="89.25" height="27.75" align-x="237.75" align-y="5916" 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="525"/> </region> <region region-id="1698" left="648" top="5918.25" width="62.25" height="27.75" align-x="672" 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: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="526"/> </region> <region region-id="2488" left="924" top="5930.25" width="197.25" height="27.75" align-x="1073.25" align-y="5946" 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="527"/> </region> <region region-id="1894" left="744" top="6002.25" width="196.5" height="48" align-x="744" align-y="6012" 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"> <f family="Arial" charset="0" size="10"> <c val="#333">• Pressure lines — 25 fps or 7.62 meters/sec.</c> </f> <f family="Arial" charset="0" size="10"> <c val="#333">• Return lines — 10 fps or 3.05 meters/sec.</c> </f> <f family="Arial" charset="0" size="10"> <c val="#333">• Suction lines — 4 fps or 1.22 meters/sec.</c> </f> </text> </region> <region region-id="2313" left="1062" top="6002.25" width="142.5" height="33.75" align-x="1141.5" align-y="6018" 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="528"/> </region> <region region-id="1878" left="510" top="6009.75" width="211.5" height="18" align-x="510" align-y="6024" 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"> <f size="16"> Hydraulic Pipe Sizing calcs </f> </text> </region> <region region-id="2176" left="48" top="6015.75" width="343.5" height="18" align-x="48" align-y="6030" 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"> <f size="16"> LM5118 Resistor calcs </f> </text> </region> <region region-id="2177" left="54" top="6057" width="59.25" height="12.75" align-x="71.25" align-y="6066" 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="529"/> </region> <region region-id="1880" left="540" top="6050.25" width="90.75" height="33.75" align-x="585" align-y="6072" 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="530"/> </region> <region region-id="1881" left="648" top="6056.25" width="104.25" height="27.75" align-x="705.75" align-y="6072" 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="531"/> </region> <region region-id="1882" left="774" top="6063" width="39.75" height="12.75" align-x="794.25" align-y="6072" 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="532"/> </region> <region region-id="2178" left="54" top="6075" width="62.25" height="12.75" align-x="80.25" align-y="6084" 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="533"/> </region> <region region-id="2179" left="54" top="6092.25" width="103.5" height="27.75" align-x="71.25" align-y="6108" 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="534"/> </region> <region region-id="2180" left="192" top="6093" width="83.25" height="18.75" align-x="207.75" align-y="6108" 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="535"/> </region> <region region-id="2181" left="336" top="6099" width="93" height="12.75" align-x="378" align-y="6108" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math 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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="540"/> </region> <region region-id="1898" left="648" top="6129" width="74.25" height="12.75" align-x="692.25" align-y="6138" 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="541"/> </region> <region region-id="1885" left="546" top="6153" width="138.75" height="12.75" align-x="580.5" align-y="6162" 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="542"/> </region> <region region-id="1899" left="702" top="6153" width="66.75" height="12.75" align-x="735" align-y="6162" 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 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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="546"/> </region> <region region-id="2070" left="552" top="6170.25" width="115.5" height="42.75" align-x="611.25" align-y="6186" 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="547"/> </region> <region region-id="1889" left="684" top="6170.25" width="105" height="27.75" align-x="741.75" align-y="6186" 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 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height="22.5" align-x="114" align-y="6204" 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="550"/> </region> <region region-id="2187" left="192" top="6195" width="85.5" height="16.5" align-x="232.5" align-y="6204" 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="551"/> </region> <region region-id="2093" left="528" top="6219" width="72.75" height="12.75" align-x="566.25" align-y="6228" 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="552"/> </region> <region region-id="2094" left="642" top="6219" width="78.75" height="12.75" align-x="686.25" align-y="6228" show-border="false" show-highlight="false" 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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> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="556"/> </region> <region region-id="2096" left="672" top="6243" width="71.25" height="12.75" align-x="705" align-y="6252" 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>0.31899999999999995</ml:real> <unitMonomial 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<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>2705.6341463414633</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ohm"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="563"/> </region> <region region-id="1856" left="330" top="6279" width="88.5" height="12.75" align-x="372" 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">R8actual</ml:id> <ml:apply> <ml:mult/> <ml:real>2670</ml:real> <ml:id xml:space="preserve">ohm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="564"/> </region> <region 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xml:space="preserve">R9</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="595"/> </region> <region region-id="1871" left="186" top="6639" width="83.25" height="18.75" align-x="194.25" align-y="6654" 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="596"/> </region> <region region-id="1872" left="336" top="6651" width="90.75" height="16.5" align-x="385.5" align-y="6660" 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="597"/> </region> <region region-id="2005" left="618" top="6668.25" width="169.5" height="31.5" align-x="639.75" align-y="6684" 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="598"/> </region> <region region-id="2024" left="822" top="6675" width="66" height="12.75" align-x="842.25" align-y="6684" 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="599"/> </region> <region region-id="1873" left="66" top="6675" width="96" height="22.5" align-x="108" align-y="6690" 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="600"/> </region> <region region-id="1874" left="186" top="6681" width="85.5" height="16.5" align-x="226.5" align-y="6690" 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="601"/> </region> <region region-id="1875" left="66" top="6705" width="71.25" height="22.5" align-x="108" align-y="6720" 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="602"/> </region> <region region-id="1876" left="186" top="6705" width="117.75" height="22.5" align-x="226.5" align-y="6720" 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="603"/> </region> <region region-id="2136" left="480" top="6765.75" width="343.5" height="18" align-x="480" align-y="6780" 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"> <f size="16"> Various volume calculations </f> </text> </region> <region region-id="2109" left="60" top="6777.75" width="343.5" height="18" align-x="60" align-y="6792" 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"> <f size="16"> Inertial impact calculation </f> </text> </region> <region region-id="2137" left="492" top="6831" width="55.5" height="12.75" align-x="508.5" align-y="6840" 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="604"/> </region> <region region-id="2140" left="588" top="6831" width="59.25" height="12.75" align-x="608.25" align-y="6840" 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="605"/> </region> <region region-id="2141" left="660" top="6831" width="71.25" height="12.75" align-x="692.25" align-y="6840" 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="606"/> </region> <region region-id="2110" left="54" top="6830.25" width="66.75" height="27.75" align-x="83.25" align-y="6846" 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="607"/> </region> <region region-id="2112" left="138" top="6837" width="61.5" height="12.75" align-x="165.75" align-y="6846" 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="608"/> </region> <region region-id="2113" left="234" top="6830.25" width="76.5" height="27.75" align-x="273.75" align-y="6846" 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="609"/> </region> <region region-id="2119" left="324" top="6837" width="93.75" height="12.75" align-x="381.75" align-y="6846" 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="610"/> </region> <region region-id="2142" left="498" top="6854.25" width="91.5" height="33.75" align-x="534.75" align-y="6870" 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="611"/> </region> <region region-id="2114" left="90" top="6878.25" width="144.75" height="27.75" align-x="147" align-y="6894" 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="612"/> </region> <region region-id="2117" left="246" top="6885" width="87" height="12.75" align-x="301.5" align-y="6894" 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="613"/> </region> <region region-id="2120" left="336" top="6885" width="98.25" height="12.75" align-x="391.5" align-y="6894" 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="614"/> </region> <region region-id="2143" left="498" top="6890.25" width="168" height="27.75" align-x="531.75" align-y="6906" 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="615"/> </region> <region region-id="2145" left="690" top="6891" width="109.5" height="18.75" align-x="722.25" align-y="6906" 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="616"/> </region> <region region-id="2126" left="30" top="6914.25" width="96" height="33.75" align-x="88.5" 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">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="617"/> </region> <region region-id="2127" left="138" top="6914.25" width="110.25" height="27.75" align-x="185.25" 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">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="618"/> </region> <region region-id="2128" left="258" top="6921" width="88.5" height="18.75" align-x="303.75" align-y="6936" 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="619"/> </region> <region region-id="2146" left="504" top="6927" width="59.25" height="12.75" align-x="524.25" align-y="6936" 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="620"/> </region> <region region-id="2149" left="594" top="6927" width="55.5" height="12.75" align-x="610.5" align-y="6936" 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="621"/> </region> <region region-id="2151" left="678" top="6920.25" width="99" height="27.75" align-x="704.25" align-y="6936" 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="622"/> </region> <region region-id="2152" left="678" top="6951" width="67.5" height="18.75" align-x="702.75" align-y="6966" 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="623"/> </region> <region region-id="2132" left="36" top="6968.25" width="114.75" height="27.75" align-x="99" align-y="6984" 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="624"/> </region> <region region-id="2133" left="180" top="6966.75" width="138" height="29.25" align-x="236.25" align-y="6984" 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="625"/> </region> <region region-id="2134" left="324" top="6975" width="93" height="12.75" align-x="378.75" align-y="6984" 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="626"/> </region> <region region-id="2155" left="540" top="7017" width="43.5" height="12.75" align-x="551.25" align-y="7026" 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="627"/> </region> <region region-id="2156" left="540" top="7041" width="59.25" height="12.75" align-x="549.75" align-y="7050" 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="628"/> </region> <region region-id="2166" left="48" top="7047.75" width="343.5" height="36" align-x="48" align-y="7062" 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"> <f size="16"> Seabird energy calc from APEX energy budget file </f> </text> </region> <region region-id="2167" left="102" top="7137" width="80.25" height="12.75" align-x="150" 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">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="629"/> </region> <region region-id="2168" left="216" top="7137" width="63.75" height="12.75" align-x="243.75" 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">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="630"/> </region> <region region-id="2169" left="102" top="7166.25" width="139.5" height="27.75" align-x="137.25" align-y="7182" 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="631"/> </region> <region region-id="2170" left="72" top="7227.75" width="343.5" height="18" align-x="72" align-y="7242" 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"> <f size="16"> Housing Diameter tradeoff </f> </text> </region> <region region-id="2171" left="42" top="7269" width="50.25" height="12.75" align-x="69" align-y="7278" 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="632"/> </region> <region region-id="2172" left="108" top="7269" width="61.5" height="12.75" align-x="141.75" align-y="7278" 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="633"/> </region> <region region-id="2173" left="36" top="7286.25" width="146.25" height="27.75" align-x="57" align-y="7302" 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="634"/> </region> <region region-id="2175" left="264" top="7286.25" width="133.5" height="33.75" align-x="297.75" align-y="7302" 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="635"/> </region> <region region-id="2190" left="54" top="7401.75" width="343.5" height="18" align-x="54" align-y="7416" 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"> <f size="16"> LM8611 Resistor calcs </f> </text> </region> <region region-id="2624" left="348" top="7430.25" width="321" height="36" align-x="352.5" align-y="7440" 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"> R1 on app note = R10 on 1750A eval board R2 on data sheet = R11 on 1750A eval board </text> </region> <region region-id="2191" left="60" top="7443" width="72.75" height="12.75" align-x="77.25" align-y="7452" 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="636"/> </region> <region region-id="2205" left="168" top="7442.25" width="160.5" height="12" align-x="172.5" align-y="7452" 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"> R1 is tied to Vout<sp count="2"/>R2 goes to ground </text> </region> <region region-id="2192" left="60" top="7461" width="62.25" height="12.75" align-x="86.25" align-y="7470" 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="637"/> </region> <region region-id="2207" left="198" top="7461" width="56.25" height="12.75" align-x="218.25" align-y="7470" 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="638"/> </region> <region region-id="2193" left="60" top="7478.25" width="103.5" height="27.75" align-x="77.25" align-y="7494" 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="639"/> </region> <region region-id="2194" left="198" top="7479" width="83.25" height="18.75" align-x="213.75" align-y="7494" 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="640"/> </region> <region region-id="2195" left="342" top="7479" width="98.25" height="18.75" align-x="384" align-y="7494" 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="641"/> </region> <region region-id="2208" left="78" top="7515" width="27" height="12.75" align-x="90" 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">n</ml:id> <ml:real>.8</ml:real> </ml:define> </math> <rendering item-idref="642"/> </region> <region region-id="2196" left="72" top="7538.25" width="78.75" height="27.75" align-x="81.75" 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: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="643"/> </region> <region region-id="2197" left="198" top="7539" width="83.25" height="18.75" align-x="206.25" 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">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="644"/> </region> <region region-id="2198" left="342" top="7538.25" width="159" height="27.75" align-x="393" 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: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="645"/> </region> <region region-id="2199" left="348" top="7569" width="95.25" height="16.5" align-x="397.5" align-y="7578" 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="646"/> </region> <region region-id="2200" left="78" top="7575" width="96" height="22.5" align-x="120" align-y="7590" 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="647"/> </region> <region region-id="2201" left="198" top="7575" width="113.25" height="22.5" align-x="238.5" align-y="7590" 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="648"/> </region> <region region-id="2202" left="78" top="7605" width="71.25" height="22.5" align-x="120" align-y="7620" 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="649"/> </region> <region region-id="2203" left="198" top="7605" width="113.25" height="22.5" align-x="238.5" align-y="7620" 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="650"/> </region> <region region-id="2209" left="78" top="7646.25" width="159.75" height="27.75" align-x="93" 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 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="651"/> </region> <region region-id="2212" left="312" top="7653" width="88.5" height="18.75" align-x="325.5" align-y="7668" 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="652"/> </region> <region region-id="2663" left="312" top="7706.25" width="321" height="36" align-x="316.5" align-y="7716" 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"> R1 on app note = R10 on 1750A eval board R2 on data sheet = R11 on 1750A eval board </text> </region> <region region-id="2664" left="24" top="7719" width="77.25" height="12.75" align-x="41.25" align-y="7728" 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="653"/> </region> <region region-id="2665" left="132" top="7718.25" width="160.5" height="12" align-x="136.5" align-y="7728" 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"> R1 is tied to Vout<sp count="2"/>R2 goes to ground </text> </region> <region region-id="2666" left="24" top="7737" width="62.25" height="12.75" align-x="50.25" align-y="7746" 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="654"/> </region> <region region-id="2667" left="162" top="7737" width="56.25" height="12.75" align-x="182.25" align-y="7746" 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="655"/> </region> <region region-id="2684" left="48" top="7754.25" width="88.5" height="42.75" align-x="65.25" align-y="7770" 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: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/> 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<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="661"/> </region> <region region-id="2674" left="306" top="7820.25" width="159" height="27.75" align-x="357" align-y="7836" 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> 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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="664"/> </region> <region region-id="2677" left="162" top="7857" width="117.75" height="22.5" align-x="202.5" 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: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 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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="667"/> </region> <region region-id="2680" left="42" top="7928.25" width="159.75" height="27.75" align-x="57" align-y="7944" 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="668"/> </region> <region region-id="2681" left="276" top="7935" width="88.5" height="18.75" align-x="289.5" align-y="7950" 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> 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is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> R1 is tied to Vout<sp count="2"/>R2 goes to ground </text> </region> <region region-id="2215" left="48" top="8019" width="57.75" height="12.75" align-x="74.25" 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">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="671"/> </region> <region region-id="2216" left="186" top="8019" width="56.25" height="12.75" align-x="206.25" align-y="8028" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" 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<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="685"/> </region> <region region-id="2230" left="300" top="8211" width="88.5" height="18.75" align-x="313.5" align-y="8226" 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="686"/> </region> <region region-id="2231" left="48" top="8295" width="72.75" height="12.75" align-x="65.25" align-y="8304" 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="687"/> </region> <region region-id="2232" left="156" top="8294.25" width="152.25" 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<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="690"/> </region> <region region-id="2236" left="186" top="8331" width="83.25" height="18.75" align-x="201.75" align-y="8346" 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="691"/> </region> <region region-id="2237" left="330" top="8331" width="91.5" height="18.75" align-x="372" align-y="8346" show-border="false" 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</region> <region region-id="2239" left="60" top="8390.25" width="78.75" height="27.75" align-x="69.75" align-y="8406" 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="694"/> </region> <region region-id="2240" left="186" top="8391" width="83.25" height="18.75" align-x="194.25" align-y="8406" 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" 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</ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>26.304076601223045</ml:real> </result> </ml:eval> </math> <rendering item-idref="749"/> </region> <region region-id="2563" left="36" top="9609.75" width="204" height="18" align-x="53.25" align-y="9624" 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"> <f size="16"> LTC6102 Transfer Function </f> </text> </region> <region region-id="2565" left="48" top="9645" width="57.75" height="12.75" align-x="68.25" align-y="9654" 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">Rin</ml:id> <ml:apply> <ml:mult/> <ml:real>20</ml:real> <ml:id xml:space="preserve">ohm</ml:id> </ml:apply> </ml:define> </math> 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</rendering> </region> <region region-id="2267" left="942" top="81" width="125.25" height="12.75" align-x="990" align-y="90" 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">shearArea</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">π</ml:id> <ml:id xml:space="preserve">holeDiameter</ml:id> </ml:apply> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="2270" left="1110" top="75" width="84.75" height="18.75" align-x="1156.5" align-y="90" 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">shearArea</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>0.059690260418206069</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="2"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="10"/> </region> <region region-id="1" left="24" top="87" width="132" height="16.5" align-x="80.25" align-y="96" 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="max">Pressure</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="max">Depth</ml:id> <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="11"/> </region> <region region-id="60" left="186" top="80.25" width="109.5" height="33.75" align-x="240.75" align-y="96" 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="max">Pressure</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>728.94634448987756</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="12"/> </region> <region region-id="176" left="24" top="110.25" width="78" height="27.75" align-x="65.25" 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="current">V</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="13"/> </region> <region region-id="177" left="144" top="117" width="78" height="16.5" align-x="183.75" 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" 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="69" height="16.5" align-x="291.75" 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="87" height="12.75" align-x="395.25" 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="110.25" width="141.75" height="27.75" align-x="972.75" 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="70.5" height="12.75" align-x="1139.25" 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> </ml:eval> </math> <rendering item-idref="18"/> </region> <region region-id="2273" left="948" top="140.25" width="105.75" height="27.75" align-x="1001.25" 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="140.25" width="102" height="33.75" align-x="1137.75" 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="158.25" width="100.5" height="31.5" align-x="54.75" 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="75.75" height="12.75" align-x="173.25" 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="176.25" width="99.75" height="33.75" align-x="1005" 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="182.25" width="234" height="42.75" align-x="1130.25" 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> </result> </ml:eval> </ml:define> </math> <rendering item-idref="24"/> </region> <region region-id="210" left="24" top="206.25" width="114" height="52.5" align-x="60" 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"/> </region> <region region-id="211" left="144" top="213" width="76.5" height="12.75" align-x="178.5" 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: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> </ml:eval> </math> <rendering item-idref="26"/> </region> <region region-id="329" left="240" top="213" width="72.75" height="12.75" align-x="274.5" 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: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> </result> </ml:eval> </math> <rendering item-idref="27"/> </region> <region region-id="2040" left="1026" top="279" width="31.5" height="12.75" align-x="1044.75" 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> </ml:define> </math> <rendering item-idref="28"/> </region> <region region-id="874" left="450" top="290.25" width="75.75" height="24" align-x="470.25" 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"> MEWASA bellows </text> </region> <region region-id="897" left="12" top="291.75" width="242.25" 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"> <f size="16"> Bellows/Diaphragm Calculations </f> </text> </region> <region region-id="875" left="780" top="296.25" width="94.5" height="42.75" align-x="836.25" 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="308.25" width="87.75" height="27.75" align-x="524.25" 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="302.25" width="90" height="33.75" align-x="992.25" 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="308.25" width="147.75" height="42.75" align-x="1111.5" 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="115.5" height="16.5" align-x="668.25" 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="320.25" width="107.25" height="33.75" align-x="70.5" 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="320.25" width="92.25" height="33.75" align-x="183" 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="326.25" width="116.25" height="33.75" align-x="303" 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="338.25" width="57.75" height="33.75" align-x="1600.5" 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 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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="90" height="16.5" align-x="657.75" 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="155.25" height="12.75" align-x="1017.75" 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="338.25" width="101.25" height="33.75" align-x="1190.25" 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="344.25" width="106.5" height="42.75" align-x="1325.25" 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="39.75" height="12.75" align-x="1396.5" 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="39.75" height="12.75" align-x="1452" 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="96.75" height="12.75" align-x="1911" 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="53.25" height="16.5" align-x="96.75" 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="92.25" height="16.5" align-x="216.75" 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="120" height="16.5" align-x="559.5" 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="120.75" height="16.5" align-x="710.25" 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="374.25" width="142.5" height="27.75" align-x="322.5" 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="374.25" width="71.25" height="33.75" align-x="1593.75" 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"/> 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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="60" height="12.75" align-x="1489.5" 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="387" width="111" height="22.5" align-x="1125.75" 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="245384220" 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="245384620" 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="1.5" top="0.75" width="109.5" height="21" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="1137" left="1188" top="393" width="113.25" height="16.5" align-x="1257.75" align-y="402" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> 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</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="608.25" width="174.75" height="27.75" align-x="675" 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="608.25" width="145.5" height="48.75" align-x="876" 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="626.25" width="125.25" height="33.75" align-x="431.25" 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="626.25" width="112.5" height="33.75" align-x="679.5" 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="662.25" width="127.5" height="27.75" align-x="880.5" 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="698.25" width="118.5" height="12" 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"> Tube Reservoir calculations </text> </region> <region region-id="2347" left="750" top="705" width="40.5" height="12.75" align-x="770.25" 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="53.25" height="12.75" align-x="835.5" 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="62.25" height="12.75" align-x="127.5" 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="39.75" height="12.75" align-x="172.5" 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="62.25" height="12.75" align-x="257.25" 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="60.75" height="12.75" align-x="345" 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="710.25" width="146.25" height="27.75" align-x="432" 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="75" height="12.75" align-x="640.5" 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="716.25" width="68.25" height="33.75" align-x="834" 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="62.25" height="12.75" align-x="127.5" 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="46.5" height="12.75" align-x="178.5" 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="62.25" height="12.75" align-x="263.25" 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="60.75" height="12.75" align-x="351" 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="746.25" width="146.25" height="27.75" align-x="438" 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="75" height="12.75" align-x="646.5" 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="65.25" height="12.75" align-x="844.5" 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="770.25" width="119.25" height="33.75" 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="114.75" height="12.75" align-x="128.25" 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="190.5" height="12.75" align-x="105.75" 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="86.25" height="12.75" align-x="324" 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="133.5" height="12.75" align-x="471" 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="830.25" width="459" height="27.75" align-x="140.25" 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="107.25" height="12.75" align-x="126.75" 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="2866" left="30" top="891.75" width="226.5" height="18" align-x="30" align-y="906" 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"> <f size="16"> McMaster Bellows Calculation </f> </text> </region> <region region-id="2858" left="54" top="915" width="75.75" height="16.5" align-x="106.5" align-y="924" 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="mcmaster">id</ml:id> <ml:apply> <ml:mult/> <ml:real>5</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="134"/> </region> <region region-id="2873" left="156" top="915" width="90" height="16.5" align-x="211.5" align-y="924" 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="mcmaster">od</ml:id> <ml:apply> <ml:mult/> <ml:real>6.75</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="135"/> </region> <region region-id="2872" left="282" top="915" width="136.5" height="16.5" align-x="380.25" align-y="924" 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="mcmaster">strokeLength</ml:id> <ml:apply> <ml:mult/> <ml:real>131</ml:real> <ml:id xml:space="preserve">mm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="136"/> </region> <region region-id="2869" left="60" top="950.25" width="251.25" height="27.75" align-x="100.5" 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">volume1</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" subscript="mcmaster">id</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="mcmaster">strokeLength</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.6594669940443052</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="liter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="137"/> </region> <region region-id="2862" left="60" top="992.25" width="448.5" height="27.75" align-x="100.5" 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">volume2</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:minus/> <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="mcmaster">od</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="mcmaster">strokeLength</ml:id> </ml:apply> <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="mcmaster">id</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="mcmaster">strokeLength</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:real>0.5</ml:real> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.68245580130072</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="liter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="138"/> </region> <region region-id="2870" left="60" top="1035" width="190.5" height="12.75" align-x="117.75" align-y="1044" 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="245384700" 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="245384220" 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">d7aa9a46c86a2eed1841a0e1a264bcdc</contentHash> <ml:define> <ml:id xml:space="preserve">volumeTotal</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">volume1</ml:id> <ml:id xml:space="preserve">volume2</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.3419227953450252</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="liter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </ml:provenance> </math> <rendering item-idref="139"> <element-image-map> <box left="1.5" top="0.75" width="189" height="11.25" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="1174" left="1470" top="1058.25" width="64.5" height="27.75" align-x="1491" 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: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="140"/> </region> <region region-id="1175" left="1560" top="1065" width="60" height="12.75" align-x="1579.5" 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: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="141"/> </region> <region region-id="851" left="6" top="1065.75" width="150.75" height="18" align-x="18" align-y="1080" 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"> <f size="16"> Energy Calculations </f> </text> </region> <region region-id="947" left="468" top="1054.5" width="390" height="37.5" align-x="552" 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: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="142"/> </region> <region region-id="2353" left="972" top="1077" width="40.5" height="12.75" align-x="992.25" 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 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="143"/> </region> <region region-id="2354" left="1032" top="1077" width="48.75" height="12.75" align-x="1057.5" 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 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="144"/> </region> <region region-id="2355" left="1032" top="1088.25" width="68.25" height="33.75" align-x="1056" align-y="1104" 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="145"/> </region> <region region-id="212" left="30" top="1112.25" width="87" height="27.75" align-x="84" align-y="1128" 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="146"/> </region> <region region-id="213" left="174" top="1112.25" width="84.75" height="31.5" align-x="200.25" align-y="1128" 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="147"/> </region> <region region-id="214" left="306" top="1125" width="64.5" height="12.75" align-x="330.75" align-y="1134" 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="148"/> </region> <region region-id="948" left="468" top="1108.5" width="391.5" height="37.5" align-x="552.75" align-y="1134" 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="149"/> </region> <region region-id="2356" left="1044" top="1137" width="65.25" height="12.75" align-x="1066.5" align-y="1146" 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="150"/> </region> <region region-id="949" left="468" top="1155" width="123.75" height="16.5" align-x="551.25" align-y="1164" 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="151"/> </region> <region region-id="950" left="606" top="1155" width="123" height="16.5" align-x="688.5" align-y="1164" 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="152"/> </region> <region region-id="719" left="2316" top="1167" width="42" height="12.75" align-x="2334.75" 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: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="153"/> </region> <region region-id="720" left="2394" top="1160.25" width="106.5" height="27.75" align-x="2445" 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: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="154"/> </region> <region region-id="215" left="24" top="1156.5" width="156.75" height="37.5" align-x="53.25" align-y="1182" 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="155"/> </region> <region region-id="216" left="252" top="1167" width="95.25" height="18.75" align-x="279.75" align-y="1182" 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="156"/> </region> <region region-id="951" left="468" top="1185" width="252" height="16.5" align-x="544.5" align-y="1194" 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" 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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="383"/> </region> <region region-id="1491" left="996" top="4028.25" width="105" height="24" align-x="1009.5" align-y="4038" 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"> filament wound fiberglass </text> </region> <region region-id="1403" left="774" top="4035" width="52.5" height="12.75" align-x="801.75" align-y="4044" 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="384"/> </region> <region region-id="1488" left="1020" top="4046.25" width="91.5" height="33.75" align-x="1065.75" align-y="4062" 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 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lock-width="true"> <f size="16"> Volume Change </f> </text> </region> <region region-id="1989" left="822" top="4935.75" width="142.5" height="18" align-x="822" align-y="4950" 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"> <f size="16"> Roll Natural Period </f> </text> </region> <region region-id="1663" left="72" top="4947.75" width="145.5" height="18" align-x="72" align-y="4962" 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"> <f size="16"> Calculated Guess </f> </text> </region> <region region-id="1670" left="510" top="4947.75" width="193.5" height="18" align-x="510" align-y="4962" 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"> <f size="16"> Calculated from SW FEA </f> </text> </region> <region region-id="1413" left="90" top="4977" width="64.5" height="12.75" align-x="131.25" align-y="4986" 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="443"/> </region> <region region-id="1414" left="186" top="4977" width="60.75" height="12.75" align-x="219" align-y="4986" 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="444"/> </region> <region region-id="1990" left="834" top="4977" width="61.5" height="18.75" align-x="843.75" align-y="4992" 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="445"/> </region> <region region-id="1991" left="942" top="4977" width="83.25" height="18.75" align-x="973.5" align-y="4992" 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="446"/> </region> <region region-id="1415" left="120" top="5007" width="82.5" height="12.75" align-x="168" align-y="5016" 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="447"/> </region> <region region-id="1416" left="234" top="5007" width="75.75" height="12.75" align-x="275.25" align-y="5016" 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="448"/> </region> <region region-id="1671" left="552" top="5001" width="109.5" height="22.5" align-x="596.25" align-y="5016" 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="449"/> </region> <region region-id="1997" left="954" top="5007" width="56.25" height="16.5" align-x="975.75" align-y="5016" 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="450"/> </region> <region region-id="1998" left="1020" top="5007" width="54" height="16.5" align-x="1032.75" align-y="5016" 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="451"/> </region> <region region-id="1992" left="864" top="5013" width="63" height="16.5" align-x="879" align-y="5022" 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="452"/> </region> <region region-id="1672" left="552" top="5031" width="99" height="22.5" align-x="585.75" align-y="5046" 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="453"/> </region> <region region-id="1417" left="66" top="5048.25" width="174.75" height="27.75" align-x="151.5" align-y="5064" 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="454"/> </region> <region region-id="1418" left="276" top="5055" width="129" height="16.5" align-x="360" align-y="5064" 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="455"/> </region> <region region-id="1673" left="552" top="5067" width="120.75" height="16.5" align-x="588" align-y="5076" 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="456"/> </region> <region region-id="1999" left="852" top="5050.5" width="73.5" height="37.5" align-x="871.5" align-y="5076" 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="457"/> </region> <region region-id="2001" left="954" top="5067" width="57.75" height="16.5" align-x="972" align-y="5076" 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="458"/> </region> <region region-id="1674" left="552" top="5097" width="75" height="16.5" align-x="586.5" align-y="5106" 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="459"/> </region> <region region-id="1419" left="72" top="5096.25" width="279" height="27.75" align-x="147" align-y="5112" 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="460"/> </region> <region region-id="1422" left="360" top="5103" width="114" height="16.5" align-x="433.5" align-y="5112" 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="461"/> </region> <region region-id="1424" left="180" top="5145" width="209.25" height="16.5" align-x="222" align-y="5154" 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="462"/> </region> <region region-id="1425" left="408" top="5151" width="81" height="12.75" align-x="448.5" align-y="5160" 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="463"/> </region> <region region-id="1502" left="42" top="5217.75" width="343.5" height="32.25" align-x="42" align-y="5232" 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"> <f size="16"> Added Mass </f> <f size="12"> (3D ellipsoid from Irrotation Flow of Frictionless Fluids, Kennard DTMB 1967) </f> </text> </region> <region region-id="1664" left="576" top="5229.75" width="117" height="18" align-x="576" align-y="5244" 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"> <f size="16"> Failure Rate </f> </text> </region> <region region-id="1665" left="726" top="5241" width="42.75" height="12.75" align-x="756" align-y="5250" 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">floats</ml:id> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="464"/> </region> <region region-id="1666" left="540" top="5270.25" width="162" height="42.75" align-x="579" align-y="5286" 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="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> <rendering item-idref="465"/> </region> <region region-id="1667" left="738" top="5270.25" width="121.5" height="33.75" align-x="775.5" align-y="5286" 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> <rendering item-idref="466"/> </region> <region region-id="1530" left="30" top="5276.25" width="96" height="33.75" align-x="51.75" align-y="5292" 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="467"/> </region> <region region-id="1531" left="138" top="5283" width="36" height="12.75" align-x="150.75" align-y="5292" 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>7</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="468"/> </region> <region region-id="1555" left="192" top="5283" width="39" height="12.75" align-x="203.25" align-y="5292" 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>27</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="469"/> </region> <region region-id="1668" left="540" top="5318.25" width="90.75" height="33.75" align-x="594" align-y="5334" 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="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> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="470"/> </region> <region region-id="1535" left="78" top="5316.75" width="56.25" height="41.25" align-x="89.25" align-y="5340" 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="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> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="471"/> </region> <region region-id="1536" left="180" top="5318.25" width="133.5" height="39.75" align-x="197.25" align-y="5340" 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> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">ln</ml:id> <ml:apply> <ml:div/> <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> <ml:id xml:space="preserve">e</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="472"/> </region> <region region-id="1669" left="684" top="5324.25" width="100.5" height="33.75" align-x="736.5" align-y="5340" 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="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> </result> </ml:eval> </math> <rendering item-idref="473"/> </region> <region region-id="1540" left="180" top="5367" width="49.5" height="16.5" align-x="195.75" 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: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> </result> </ml:eval> </math> <rendering item-idref="474"/> </region> <region region-id="1539" left="84" top="5373" width="43.5" height="12.75" align-x="93.75" align-y="5382" 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> </result> </ml:eval> </math> <rendering item-idref="475"/> </region> <region region-id="1541" left="72" top="5408.25" width="114.75" height="27.75" align-x="120.75" 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" subscript="prime">mass</ml:id> <ml:apply> <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> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="476"/> </region> <region region-id="1548" left="210" top="5404.5" width="50.25" height="35.25" align-x="222" 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">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="477"/> </region> <region region-id="1549" left="312" top="5415" width="111" height="16.5" align-x="364.5" 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" subscript="added">mass</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">k</ml:id> <ml:id xml:space="preserve" subscript="prime">mass</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="478"/> </region> <region region-id="1551" left="78" top="5451" width="96.75" height="16.5" align-x="125.25" 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="prime">mass</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>93.174477094850246</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilogram"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="479"/> </region> <region region-id="1552" left="216" top="5451" width="44.25" height="12.75" align-x="226.5" 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">k</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.08588026415938374</ml:real> </result> </ml:eval> </math> <rendering item-idref="480"/> </region> <region region-id="1550" left="318" top="5451" width="91.5" height="16.5" align-x="369" 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="added">mass</ml:id> <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"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="481"/> </region> <region region-id="1660" left="72" top="5488.5" width="191.25" height="35.25" align-x="152.25" align-y="5508" 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">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="added">mass</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="prime">mass</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="482"/> </region> <region region-id="1554" left="288" top="5499" width="112.5" height="12.75" align-x="366.75" align-y="5508" 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>1.0858802641593837</ml:real> </result> </ml:eval> </math> <rendering item-idref="483"/> </region> <region region-id="1649" left="36" top="5529.75" width="343.5" height="32.25" align-x="36" align-y="5544" 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"> <f size="16"> Added Mass </f> <f size="12"> (3D ellipsoid from Handbook of Ocean Engineering) </f> </text> </region> <region region-id="1711" left="492" top="5553.75" width="343.5" height="18" align-x="492" align-y="5568" 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"> <f size="16"> Weight of trapped silt </f> </text> </region> <region region-id="2284" left="912" top="5553.75" width="343.5" height="18" align-x="912" align-y="5568" 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"> <f size="16"> Weight/Displacement of housing per inch </f> </text> </region> <region region-id="1650" left="90" top="5564.25" width="53.25" height="27.75" align-x="126" align-y="5580" 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> <ml:apply> <ml:div/> <ml:id xml:space="preserve">a</ml:id> <ml:id xml:space="preserve">b</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="484"/> </region> <region region-id="1651" left="180" top="5570.25" width="170.25" height="27.75" align-x="195.75" 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:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="2">k</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <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="485"/> </region> <region region-id="1700" left="528" top="5595" width="39.75" height="12.75" align-x="544.5" align-y="5604" 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>8</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="486"/> </region> <region region-id="1652" left="84" top="5613" width="68.25" height="12.75" align-x="118.5" 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: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="487"/> </region> <region region-id="1653" left="192" top="5613" width="48" height="16.5" align-x="206.25" 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: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="488"/> </region> <region region-id="2286" left="930" top="5606.25" width="86.25" height="33.75" align-x="983.25" 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">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="489"/> </region> <region region-id="2287" left="1056" top="5613" width="84" height="12.75" align-x="1105.5" 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">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="490"/> </region> <region region-id="2289" left="1152" top="5613" width="83.25" height="12.75" align-x="1205.25" 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">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="491"/> </region> <region region-id="1701" left="528" top="5619" width="72" height="12.75" align-x="548.25" 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">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="492"/> </region> <region region-id="1702" left="528" top="5643" width="52.5" height="12.75" align-x="541.5" align-y="5652" 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> </ml:apply> </ml:define> </math> <rendering item-idref="493"/> </region> <region region-id="1706" left="624" top="5636.25" width="74.25" height="33.75" align-x="648" align-y="5652" 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> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="494"/> </region> <region region-id="1658" left="96" top="5655" width="92.25" height="16.5" align-x="126" 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="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> </ml:apply> </ml:define> </math> <rendering item-idref="495"/> </region> <region region-id="1659" left="240" top="5655" width="73.5" height="16.5" align-x="268.5" 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: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="496"/> </region> <region region-id="2290" left="948" top="5654.25" width="314.25" height="27.75" align-x="1077" align-y="5670" 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="497"/> </region> <region region-id="1707" left="534" top="5678.25" width="103.5" height="27.75" align-x="555" align-y="5694" 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="498"/> </region> <region region-id="1708" left="660" top="5679" width="66" height="18.75" align-x="679.5" align-y="5694" 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="499"/> </region> <region region-id="2291" left="1014" top="5684.25" width="173.25" height="27.75" align-x="1141.5" 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">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="500"/> </region> <region region-id="1661" left="66" top="5698.5" width="168.75" height="35.25" align-x="146.25" align-y="5718" 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="501"/> </region> <region region-id="1662" left="282" top="5709" width="112.5" height="12.75" align-x="360.75" align-y="5718" 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="502"/> </region> <region region-id="1709" left="540" top="5709" width="79.5" height="16.5" align-x="576.75" align-y="5718" 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="503"/> </region> <region region-id="1710" left="654" top="5709" width="80.25" height="12.75" align-x="689.25" align-y="5718" 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="504"/> </region> <region region-id="2292" left="1020" top="5714.25" width="171" height="27.75" align-x="1147.5" 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: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="505"/> </region> <region region-id="2307" left="930" top="5750.25" width="96" height="33.75" align-x="951.75" align-y="5766" 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="506"/> </region> <region region-id="2308" left="1074" top="5750.25" width="240" height="27.75" align-x="1214.25" align-y="5766" 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="507"/> </region> <region region-id="1675" left="42" top="5775.75" width="343.5" height="18" align-x="42" align-y="5790" 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"> <f size="16"> Freeboard per kilo </f> </text> </region> <region region-id="2477" left="1080" top="5774.25" width="186.75" height="27.75" align-x="1218.75" align-y="5790" 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="508"/> </region> <region region-id="1688" left="510" top="5781.75" width="343.5" height="18" align-x="510" align-y="5796" 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"> <f size="16"> Reservoir check valve </f> </text> </region> <region region-id="1679" left="192" top="5804.25" width="96" height="33.75" align-x="213.75" align-y="5820" 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="509"/> </region> <region region-id="2478" left="1086" top="5804.25" width="184.5" height="27.75" align-x="1224.75" align-y="5820" 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="510"/> </region> <region region-id="1676" left="66" top="5817" width="50.25" height="12.75" align-x="86.25" align-y="5826" 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="511"/> </region> <region region-id="1690" left="510" top="5823" width="65.25" height="12.75" align-x="545.25" align-y="5832" 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="512"/> </region> <region region-id="1691" left="606" top="5816.25" width="95.25" height="27.75" align-x="647.25" align-y="5832" 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="513"/> </region> <region region-id="2474" left="912" top="5828.25" width="180" height="27.75" align-x="1053.75" align-y="5844" 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="514"/> </region> <region region-id="1677" left="66" top="5834.25" width="105.75" height="37.5" align-x="113.25" align-y="5850" 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="515"/> </region> <region region-id="1680" left="192" top="5834.25" width="93.75" height="27.75" align-x="237.75" align-y="5850" 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="516"/> </region> <region region-id="1692" left="510" top="5859" width="66.75" height="12.75" align-x="553.5" 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">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="517"/> </region> <region region-id="1693" left="612" top="5852.25" width="72.75" height="33.75" align-x="634.5" 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" 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="518"/> </region> <region region-id="2483" left="918" top="5877" width="426.75" height="12.75" align-x="1068.75" align-y="5886" 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="519"/> </region> <region region-id="1684" left="66" top="5883" width="50.25" height="12.75" align-x="86.25" align-y="5892" 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="520"/> </region> <region region-id="1694" left="516" top="5895" width="114.75" height="16.5" align-x="567" 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">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="521"/> </region> <region region-id="1695" left="672" top="5888.25" width="95.25" height="33.75" align-x="721.5" 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">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="522"/> </region> <region region-id="2485" left="924" top="5894.25" width="195" height="27.75" align-x="1073.25" 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">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="523"/> </region> <region region-id="1685" left="66" top="5900.25" width="105.75" height="37.5" align-x="113.25" align-y="5916" 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="524"/> </region> <region region-id="1686" left="192" top="5900.25" width="89.25" height="27.75" align-x="237.75" align-y="5916" 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="525"/> </region> <region region-id="1698" left="648" top="5918.25" width="62.25" height="27.75" align-x="672" 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: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="526"/> </region> <region region-id="2488" left="924" top="5930.25" 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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"> <f family="Arial" charset="0" size="10"> <c val="#333">• Pressure lines — 25 fps or 7.62 meters/sec.</c> </f> <f family="Arial" charset="0" size="10"> <c val="#333">• Return lines — 10 fps or 3.05 meters/sec.</c> </f> <f family="Arial" charset="0" size="10"> <c val="#333">• Suction lines — 4 fps or 1.22 meters/sec.</c> </f> </text> </region> <region region-id="2313" left="1062" top="6002.25" width="142.5" height="33.75" align-x="1141.5" align-y="6018" 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 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is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="16"> Hydraulic Pipe Sizing calcs </f> </text> </region> <region region-id="2176" left="48" top="6015.75" width="343.5" height="18" align-x="48" align-y="6030" 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"> <f size="16"> LM5118 Resistor calcs </f> </text> </region> <region region-id="2177" left="54" top="6057" width="59.25" height="12.75" align-x="71.25" align-y="6066" 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> 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<ml:define warning="WarnRedefinedUDScalar" 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="583"/> </region> <region region-id="2908" left="672" top="6446.25" width="105" height="27.75" align-x="729.75" align-y="6462" 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>3.3759713282832631</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="584"/> </region> <region region-id="2002" left="642" top="6555.75" width="343.5" height="18" align-x="642" align-y="6570" 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"> <f size="16"> Maxon controller Vcc calculations </f> </text> </region> <region region-id="1865" left="48" top="6573" width="57.75" height="12.75" align-x="74.25" 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 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="585"/> </region> <region region-id="1866" left="48" top="6590.25" width="103.5" height="27.75" align-x="65.25" align-y="6606" 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="586"/> </region> <region region-id="1867" left="186" top="6597" width="67.5" height="12.75" align-x="201.75" align-y="6606" 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="587"/> </region> <region region-id="1868" left="336" top="6597" width="84" height="12.75" align-x="378" align-y="6606" 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="588"/> </region> <region region-id="2020" left="564" top="6597" width="51.75" height="12.75" align-x="582.75" align-y="6606" 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="589"/> </region> <region region-id="2007" left="672" top="6590.25" width="63" height="27.75" align-x="688.5" align-y="6606" 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="590"/> </region> <region region-id="2008" left="756" top="6590.25" width="58.5" height="27.75" align-x="768" align-y="6606" 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="591"/> </region> <region region-id="2011" left="852" top="6581.25" width="87" height="42.75" align-x="883.5" align-y="6612" 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="592"/> </region> <region region-id="1869" left="330" top="6620.25" width="159" height="27.75" align-x="381" 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 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="593"/> </region> <region region-id="2012" left="618" top="6633" width="51" height="12.75" align-x="633.75" align-y="6642" 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="594"/> </region> <region region-id="1870" left="60" top="6638.25" width="120" height="27.75" align-x="69.75" align-y="6654" 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="595"/> </region> <region region-id="1871" left="186" top="6639" width="83.25" height="18.75" align-x="194.25" align-y="6654" 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="596"/> </region> <region region-id="1872" left="336" top="6651" width="90.75" height="16.5" align-x="385.5" align-y="6660" 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="597"/> </region> <region region-id="2005" left="618" top="6668.25" width="169.5" height="31.5" align-x="639.75" align-y="6684" 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="598"/> </region> <region region-id="2024" left="822" top="6675" width="66" height="12.75" align-x="842.25" align-y="6684" 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="599"/> </region> <region region-id="1873" left="66" top="6675" width="96" height="22.5" align-x="108" align-y="6690" 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="600"/> </region> <region region-id="1874" left="186" top="6681" width="85.5" height="16.5" align-x="226.5" align-y="6690" 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="601"/> </region> <region region-id="1875" left="66" top="6705" width="71.25" height="22.5" align-x="108" align-y="6720" 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="602"/> </region> <region region-id="1876" left="186" top="6705" width="117.75" height="22.5" align-x="226.5" align-y="6720" 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="603"/> </region> <region region-id="2136" left="480" top="6765.75" width="343.5" height="18" align-x="480" align-y="6780" 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"> <f size="16"> Various volume calculations </f> </text> </region> <region region-id="2109" left="60" top="6777.75" width="343.5" height="18" align-x="60" align-y="6792" 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"> <f size="16"> Inertial impact calculation </f> </text> </region> <region region-id="2137" left="492" top="6831" width="55.5" height="12.75" align-x="508.5" align-y="6840" 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="604"/> </region> <region region-id="2140" left="588" top="6831" width="59.25" height="12.75" align-x="608.25" align-y="6840" 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="605"/> </region> <region region-id="2141" left="660" top="6831" width="71.25" height="12.75" align-x="692.25" align-y="6840" 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="606"/> </region> <region region-id="2110" left="54" top="6830.25" width="66.75" height="27.75" align-x="83.25" align-y="6846" 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="607"/> </region> <region region-id="2112" left="138" top="6837" width="61.5" height="12.75" align-x="165.75" align-y="6846" 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="608"/> </region> <region region-id="2113" left="234" top="6830.25" width="76.5" height="27.75" align-x="273.75" align-y="6846" 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="609"/> </region> <region region-id="2119" left="324" top="6837" width="93.75" height="12.75" align-x="381.75" align-y="6846" 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="610"/> </region> <region region-id="2142" left="498" top="6854.25" width="91.5" height="33.75" align-x="534.75" align-y="6870" 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="611"/> </region> <region region-id="2114" left="90" top="6878.25" width="144.75" height="27.75" align-x="147" align-y="6894" 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 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<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="619"/> </region> <region region-id="2146" left="504" top="6927" width="59.25" height="12.75" align-x="524.25" align-y="6936" 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="620"/> </region> <region region-id="2149" left="594" top="6927" width="55.5" height="12.75" align-x="610.5" align-y="6936" 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="621"/> </region> <region region-id="2151" left="678" top="6920.25" width="99" height="27.75" align-x="704.25" align-y="6936" 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="622"/> </region> <region region-id="2152" left="678" top="6951" width="67.5" height="18.75" align-x="702.75" align-y="6966" 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="623"/> </region> <region region-id="2132" left="36" top="6968.25" width="114.75" height="27.75" align-x="99" align-y="6984" 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="624"/> </region> <region region-id="2133" left="180" top="6966.75" width="138" height="29.25" align-x="236.25" align-y="6984" 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="625"/> </region> <region region-id="2134" left="324" top="6975" width="93" height="12.75" align-x="378.75" align-y="6984" 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="626"/> </region> <region region-id="2155" left="540" top="7017" width="43.5" height="12.75" align-x="551.25" align-y="7026" 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="627"/> </region> <region region-id="2156" left="540" top="7041" width="59.25" height="12.75" align-x="549.75" align-y="7050" 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="628"/> </region> <region region-id="2166" left="48" top="7047.75" width="343.5" height="36" align-x="48" align-y="7062" 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"> <f size="16"> Seabird energy calc from APEX energy budget file </f> </text> </region> <region region-id="2167" left="102" top="7137" width="80.25" height="12.75" align-x="150" 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">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="629"/> </region> <region region-id="2168" left="216" top="7137" width="63.75" height="12.75" align-x="243.75" 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">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="630"/> </region> <region region-id="2169" left="102" top="7166.25" width="139.5" height="27.75" align-x="137.25" align-y="7182" 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="631"/> </region> <region region-id="2170" left="72" top="7227.75" width="343.5" height="18" align-x="72" align-y="7242" 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"> <f size="16"> Housing Diameter tradeoff </f> </text> </region> <region region-id="2171" left="42" top="7269" width="50.25" height="12.75" align-x="69" align-y="7278" 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="632"/> </region> <region region-id="2172" left="108" top="7269" width="61.5" height="12.75" align-x="141.75" align-y="7278" 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="633"/> </region> <region region-id="2173" left="36" top="7286.25" width="146.25" height="27.75" align-x="57" align-y="7302" 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="634"/> </region> <region region-id="2175" left="264" top="7286.25" width="133.5" height="33.75" align-x="297.75" align-y="7302" 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="635"/> </region> <region region-id="2190" left="54" top="7401.75" width="343.5" height="18" align-x="54" align-y="7416" 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"> <f size="16"> LM8611 Resistor calcs </f> </text> </region> <region region-id="2624" left="348" top="7430.25" width="321" height="36" align-x="352.5" align-y="7440" 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"> R1 on app note = R10 on 1750A eval board R2 on data sheet = R11 on 1750A eval board </text> </region> <region region-id="2191" left="60" top="7443" width="72.75" height="12.75" align-x="77.25" align-y="7452" 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="636"/> </region> <region region-id="2205" left="168" top="7442.25" width="160.5" height="12" align-x="172.5" align-y="7452" 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"> R1 is tied to Vout<sp count="2"/>R2 goes to ground </text> </region> <region region-id="2192" left="60" top="7461" width="62.25" height="12.75" align-x="86.25" align-y="7470" 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="637"/> </region> <region region-id="2207" left="198" top="7461" width="56.25" height="12.75" align-x="218.25" align-y="7470" 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 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