Mathcad Professional 14.1 <description/> <author>Gene Massion</author> <company>Parametric Technology Corporation</company> <keywords/> <revisedBy>delete</revisedBy> </userData> <identityInfo> <revision>9</revision> <documentID>D7F9CF66-60C4-4414-81B8-C7AC1451D342</documentID> <versionID>55471355-6D14-4207-A750-6A8C9D690DD9</versionID> <parentVersionID>00000000-0000-0000-0000-000000000000</parentVersionID> <branchID>00000000-0000-0000-0000-000000000000</branchID> </identityInfo> </metadata> <settings> <presentation> <textRendering> <textStyles> <textStyle name="Normal"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 1"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" 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placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">shearStress</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lbf</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>356.24999999999994</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="-2"/> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="20"/> </region> <region region-id="207" left="18" top="158.4" width="95.4" height="30.6" align-x="53.4" align-y="174" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Volume</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ParkingForce</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">g</ml:id> <ml:id xml:space="preserve" subscript="sw">ρ</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="21"/> </region> <region region-id="208" left="138" top="165" width="75.6" height="12.6" align-x="172.2" align-y="174" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Volume</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.2126457073170731</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="liter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="22"/> </region> <region region-id="2736" left="954" top="176.4" width="95.4" height="31.8" align-x="1000.2" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">yieldStress</ml:id> <ml:apply> <ml:mult/> <ml:real>36000</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lbf</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="23"/> </region> <region region-id="2737" left="1074" top="182.4" width="219.6" height="41.4" align-x="1125.6" align-y="198" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">criticalThick</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:id xml:space="preserve">load</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">yieldStress</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">shearArea</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">in</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.00098958333333333342</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="24"/> </region> <region region-id="210" left="24" top="206.4" width="105" height="49.8" align-x="56.4" align-y="222" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Length</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Volume</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">π</ml:id> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="piston">Dia</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="211" left="144" top="213" width="75" height="12.6" align-x="175.2" 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="70.8" height="12.6" align-x="271.2" 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="30.6" height="12.6" align-x="1043.4" align-y="288" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">cts</ml:id> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="28"/> </region> <region region-id="874" left="450" top="291" width="75.6" height="10.8" align-x="470.4" align-y="300" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">MEWASA bellows</p> </text> </region> <region region-id="897" left="12" top="291.6" width="244.2" height="18" align-x="24" align-y="306" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="16"> <b>Bellows/Diaphragm Calculations</b> </f> </p> </text> </region> <region region-id="875" left="780" top="296.4" width="96" height="41.4" align-x="836.4" align-y="312" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:div/> <ml:real>2500</ml:real> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:mult/> <ml:real>7</ml:real> <ml:real>2.54</ml:real> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>10.069006333622371</ml:real> </result> </ml:eval> </math> <rendering item-idref="29"/> </region> <region region-id="876" left="480" top="308.4" width="87" height="27" align-x="522" align-y="324" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="bellows">K</ml:id> <ml:apply> <ml:mult/> <ml:real>2.50</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">N</ml:id> <ml:id xml:space="preserve">mm</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="30"/> </region> <region region-id="2041" left="948" top="303.6" width="88.2" height="31.8" align-x="990" align-y="324" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">pumpVol</ml:id> <ml:apply> <ml:mult/> <ml:real>.692</ml:real> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>3</ml:real> </ml:apply> <ml:id xml:space="preserve">rev</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="31"/> </region> <region region-id="2042" left="1056" top="308.4" width="144" height="41.4" align-x="1109.4" align-y="324" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">motorSpeed</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>10000</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">cts</ml:id> <ml:id xml:space="preserve">sec</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:apply> <ml:mult style="auto-select"/> <ml:real>2000</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">cts</ml:id> <ml:id xml:space="preserve">rev</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="32"/> </region> <region region-id="877" left="600" top="321" width="115.8" height="16.2" align-x="667.8" align-y="330" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="bellows">K</ml:id> <ml:real>50</ml:real> </ml:apply> <ml:id xml:space="preserve">mm</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>28.101117887463811</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="33"/> </region> <region region-id="1346" left="18" top="320.4" width="105.6" height="31.8" align-x="67.8" align-y="336" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="mineralOil">ρ</ml:id> <ml:apply> <ml:mult/> <ml:real>.00088</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">kgf</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="34"/> </region> <region region-id="1347" left="132" top="320.4" width="89.4" height="31.8" align-x="180.6" align-y="336" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="mineralOil">ρ</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">kgf</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">m</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>880</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilogram_force"/> <unitReference unit="meter" power-numerator="-3"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="35"/> </region> <region region-id="1348" left="252" top="326.4" width="114" height="31.8" align-x="300.6" align-y="342" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="mineralOil">ρ</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">N</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">m</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>8629.851999999999</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter" power-numerator="-3"/> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="36"/> </region> <region region-id="1161" left="1590" top="338.4" width="56.4" height="31.8" align-x="1600.2" align-y="354" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">g</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>9.80665</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> <unitReference unit="second" power-numerator="-2"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="37"/> </region> <region region-id="2275" left="1830" top="345" width="97.2" height="12.6" align-x="1887" align-y="354" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">resBellowsID</ml:id> <ml:apply> <ml:mult/> <ml:real>155</ml:real> <ml:id xml:space="preserve">mm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="38"/> </region> <region region-id="878" left="480" top="351" width="87" height="16.2" align-x="526.8" align-y="360" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="mewasa">ID</ml:id> <ml:apply> <ml:mult/> <ml:real>200</ml:real> <ml:id xml:space="preserve">mm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="39"/> </region> <region region-id="879" left="606" top="351" width="91.2" height="16.2" align-x="657" align-y="360" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="mewasa">OD</ml:id> <ml:apply> <ml:mult/> <ml:real>235</ml:real> <ml:id xml:space="preserve">mm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="40"/> </region> <region region-id="2043" left="960" top="351" width="145.8" height="12.6" align-x="1013.4" align-y="360" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">fullFlowRate</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">pumpVol</ml:id> <ml:id xml:space="preserve">motorSpeed</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="41"/> </region> <region region-id="2044" left="1134" top="339.6" width="97.8" height="31.8" align-x="1186.2" align-y="360" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">fullFlowRate</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>3</ml:real> </ml:apply> <ml:id xml:space="preserve">sec</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>3.46</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="3"/> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="42"/> </region> <region region-id="2045" left="1266" top="344.4" width="101.4" height="41.4" align-x="1320.6" align-y="360" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:div/> <ml:id xml:space="preserve">fullFlowRate</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:mult/> <ml:real>.25</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">in</ml:id> <ml:id xml:space="preserve">sec</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4.3013526521003778</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> 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<ml:id xml:space="preserve" subscript="p">D</ml:id> <ml:apply> <ml:mult/> <ml:real>10.5</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="47"/> </region> <region region-id="901" left="150" top="375" width="88.8" height="16.2" align-x="212.4" align-y="384" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="desired">Volume</ml:id> <ml:apply> <ml:mult/> <ml:real font="0">2.5</ml:real> <ml:id xml:space="preserve">l</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="48"/> </region> <region region-id="880" left="480" top="375" width="117" height="16.2" align-x="554.4" align-y="384" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" 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is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="force">Piston</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="max">Pressure</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="p">D</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="51"/> </region> <region region-id="1164" left="1572" top="374.4" width="71.4" height="31.8" align-x="1593.6" align-y="390" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id 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<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="45" height="12.6" align-x="1486.8" 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="36" height="12.6" align-x="1542.6" 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="73.2" height="12.6" align-x="57" 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="566.4" width="88.8" height="27" align-x="176.4" 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="568.2" width="94.8" height="17.4" align-x="289.2" align-y="582" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">CylArea</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>452.38934211693015</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="2"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="99"/> </region> <region region-id="2357" left="540" top="573" width="185.4" height="12.6" align-x="681.6" align-y="582" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:plus/> <ml:apply> <ml:mult style="auto-select"/> <ml:real>270</ml:real> <ml:id xml:space="preserve">mm</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:parens> <ml:apply> <ml:mult/> <ml:real>0.5</ml:real> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:mult style="auto-select"/> <ml:real>30</ml:real> <ml:id xml:space="preserve">mm</ml:id> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:real>.040</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.298984</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="100"/> </region> <region region-id="2046" left="1242" top="561.6" width="99" height="31.8" align-x="1294.2" align-y="582" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval 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placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">resBellowsHeight</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">in</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>5.8743212263248781</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="102"/> </region> <region region-id="2047" left="1242" top="586.8" width="172.2" height="30.6" align-x="1342.2" align-y="606" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">fullFlowRate</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="mineralOil">ρ</ml:id> <ml:id xml:space="preserve">g</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lb</ml:id> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.0067126349590051525</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound"/> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="103"/> </region> <region region-id="1722" left="24" top="615" width="127.2" height="10.8" align-x="45" align-y="624" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Buoyancy Engine Compliance </p> </text> </region> <region region-id="1729" left="180" top="608.4" width="132" height="27" align-x="279" align-y="624" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">BEComplianceMeasured</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">mm</ml:id> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:real>5</ml:real> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="104"/> </region> <region region-id="1730" left="360" top="608.4" width="225.6" height="27" align-x="427.2" align-y="624" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> 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left="612" top="627.6" width="109.8" height="31.8" align-x="676.2" align-y="648" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">PumpRateReqd</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>3</ml:real> </ml:apply> <ml:id xml:space="preserve">sec</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.2902210444669588</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="3"/> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="109"/> </region> <region region-id="1739" left="810" top="662.4" width="126.6" height="27" align-x="878.4" align-y="678" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">motorRPMReqd</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">rev</ml:id> <ml:id xml:space="preserve">min</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>198.57407900002534</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="minute" power-numerator="-1"/> <unitReference unit="revolution"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="110"/> </region> <region region-id="2322" left="30" top="699" width="114" height="10.8" align-x="39" align-y="708" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Tube Reservoir calculations</p> </text> </region> <region region-id="2347" left="750" top="705" width="40.2" height="12.6" align-x="769.2" align-y="714" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">vol</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>38</ml:real> <ml:id xml:space="preserve">l</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="111"/> </region> <region region-id="2348" left="810" top="705" width="53.4" height="12.6" align-x="835.2" align-y="714" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">diam</ml:id> <ml:apply> <ml:mult/> <ml:real>12</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="112"/> </region> <region region-id="2358" left="78" top="717" width="58.2" height="12.6" align-x="123" align-y="726" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">numTubes</ml:id> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="113"/> </region> <region region-id="2325" left="156" top="717" width="40.2" height="12.6" align-x="172.8" align-y="726" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">ID</ml:id> <ml:apply> <ml:mult/> <ml:real>3</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="114"/> </region> <region region-id="2326" left="234" top="717" width="62.4" height="12.6" align-x="256.2" align-y="726" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">wall</ml:id> <ml:apply> <ml:mult/> <ml:real>0.071</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="115"/> </region> <region region-id="2327" left="312" top="717" width="57.6" height="12.6" align-x="341.4" align-y="726" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIFunction" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">length</ml:id> <ml:apply> <ml:mult/> <ml:real>30</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="116"/> </region> <region region-id="2328" left="396" top="710.4" width="133.8" height="27" align-x="429.6" align-y="726" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">volume</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">numTubes</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">ID</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">length</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="117"/> </region> <region region-id="2329" left="606" top="717" width="73.8" height="12.6" align-x="638.4" align-y="726" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">volume</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>3.474999891650639</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="liter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="118"/> </region> <region region-id="2343" left="810" top="716.4" width="64.8" height="31.8" align-x="832.2" align-y="732" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">leng</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">vol</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">π</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">diam</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="119"/> </region> <region region-id="2330" left="78" top="753" width="58.2" height="12.6" align-x="123" align-y="762" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">numTubes</ml:id> <ml:real>4</ml:real> </ml:define> </math> <rendering item-idref="120"/> </region> <region region-id="2331" left="162" top="753" width="47.4" height="12.6" align-x="178.8" align-y="762" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">ID</ml:id> <ml:apply> <ml:mult/> <ml:real>1.5</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="121"/> </region> <region region-id="2332" left="240" top="753" width="62.4" height="12.6" align-x="262.2" align-y="762" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">wall</ml:id> <ml:apply> <ml:mult/> <ml:real>0.071</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="122"/> </region> <region region-id="2333" left="318" top="753" width="57.6" height="12.6" align-x="347.4" align-y="762" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">length</ml:id> <ml:apply> <ml:mult/> <ml:real>30</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="123"/> </region> <region region-id="2334" left="402" top="746.4" width="133.8" height="27" align-x="435.6" align-y="762" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">volume</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">numTubes</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">ID</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">length</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="124"/> </region> <region region-id="2335" left="612" top="753" width="73.8" height="12.6" align-x="644.4" align-y="762" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">volume</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>3.474999891650639</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="liter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="125"/> </region> <region region-id="2352" left="822" top="765" width="65.4" height="12.6" align-x="843" align-y="774" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">leng</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">in</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>20.503597761597618</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="126"/> </region> <region region-id="2320" left="1842" top="770.4" width="117.6" height="31.8" align-x="1884" align-y="786" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1410</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">kgf</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">m</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">kgf</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.00141</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="centimeter" power-numerator="-3"/> <unitReference unit="kilogram_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="127"/> </region> <region region-id="2580" left="48" top="789" width="109.2" height="12.6" align-x="121.8" align-y="798" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">BellowsWallThick</ml:id> <ml:apply> <ml:mult/> <ml:real>.040</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="128"/> </region> <region region-id="2573" left="54" top="807" width="182.4" height="12.6" align-x="103.8" align-y="816" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">BellowsOD</ml:id> <ml:apply> <ml:minus/> <ml:apply> <ml:mult/> <ml:real>300</ml:real> <ml:id xml:space="preserve">mm</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">BellowsWallThick</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="129"/> </region> <region region-id="2585" left="276" top="807" width="85.8" height="12.6" align-x="321.6" align-y="816" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">BellowsID</ml:id> <ml:apply> <ml:mult/> <ml:real>240</ml:real> <ml:id xml:space="preserve">mm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="130"/> </region> <region region-id="2586" left="378" top="807" width="128.4" height="12.6" align-x="463.8" align-y="816" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">BellowsStrokeLength</ml:id> <ml:apply> <ml:mult/> <ml:real>49.7</ml:real> <ml:id xml:space="preserve">mm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="131"/> </region> <region region-id="2575" left="72" top="830.4" width="427.2" height="27" align-x="136.2" align-y="846" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">BellowsVolume</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">BellowsID</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">BellowsStrokeLength</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">BellowsOD</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">BellowsID</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve">BellowsStrokeLength</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="132"/> </region> <region region-id="2579" left="60" top="861" width="104.4" height="12.6" align-x="123" align-y="870" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">BellowsVolume</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.8570157919522083</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="liter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="133"/> </region> <region region-id="2866" left="30" top="891.6" width="226.2" 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"> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"> <f size="16"> <b>McMaster Bellows Calculation</b> </f> </p> </text> </region> <region region-id="2858" left="54" top="915" width="72.6" height="16.2" align-x="103.2" 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="87" height="16.2" align-x="207.6" 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="129.6" height="16.2" align-x="371.4" 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="950.4" width="237" height="27" align-x="98.4" align-y="966" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">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="992.4" width="419.4" height="27" align-x="98.4" align-y="1008" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">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="181.2" height="12.6" align-x="112.8" 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="577404644" 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="579343180" 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="1.2" top="0.6" width="180" height="11.4" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="1174" left="1470" top="1058.4" width="63.6" height="27" 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> 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<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="407"/> </region> <region region-id="1233" left="12" top="4419.6" width="140.4" height="18" align-x="33" align-y="4434" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="16"> <b>Metacentric Height</b> </f> </p> </text> </region> <region region-id="1968" 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height="16.2" align-x="132" align-y="4686" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="428"/> </region> <region region-id="1248" left="174" top="4677" width="86.4" height="16.2" align-x="232.2" align-y="4686" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="429"/> </region> <region region-id="1249" left="294" top="4670.4" width="167.4" height="27" align-x="342" align-y="4686" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="vol">Housing</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="dia">Housing</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="length">Housing</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="430"/> </region> <region region-id="1250" left="492" top="4677" width="93" height="16.2" align-x="538.8" align-y="4686" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="vol">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="431"/> </region> <region region-id="1251" left="84" top="4707" width="105.6" height="16.2" align-x="140.4" align-y="4716" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="432"/> </region> <region region-id="1253" left="96" top="4732.8" width="81.6" height="30.6" align-x="115.8" 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">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="433"/> </region> <region region-id="1982" left="216" top="4743" width="55.8" height="12.6" align-x="236.4" 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">CG</ml:id> <ml:apply> <ml:mult/> <ml:real>17.8</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> 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<ml:real>4</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <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="437"> <element-image-map> <box left="1.2" top="5.4" width="2.4" height="11.4" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="1258" left="312" top="4784.4" width="97.2" height="30.6" align-x="369.6" align-y="4800" show-border="false" show-highlight="false" is-protected="true" z-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="438"/> </region> <region region-id="1259" left="84" top="4814.4" width="136.8" height="30.6" align-x="106.2" align-y="4830" 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="579859668" 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="579859868" 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="439"> <element-image-map> <box left="1.2" top="0.6" width="135.6" height="29.4" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="1260" left="324" top="4821" width="64.8" height="12.6" align-x="345" align-y="4830" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:provenance expr-id="1"> <originRef doc-id="9396C628-50A2-4CFF-8610-D1CC3C740EFD" version-id="8921C9D5-7D57-4DB5-89BC-E58612D2E241" branch-id="00000000-0000-0000-0000-000000000000" revision-num="579859948" 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="579859788" 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">3159a86a365e826fb74fbf5859dbbf4c</contentHash> <ml:id xml:space="preserve">GM</ml:id> </ml:provenance> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.10898909090909086</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="440"> <element-image-map> <box left="1.2" top="0.6" width="14.4" height="11.4" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="1261" left="324" top="4839" width="60.6" height="12.6" align-x="345" align-y="4848" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">GM</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">in</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4.2909090909090892</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="441"/> </region> <region region-id="1412" left="18" top="4887.6" width="117" height="18" align-x="18" align-y="4902" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="16"> <b>Volume Change</b> </f> </p> </text> </region> <region region-id="1989" left="822" top="4899.6" width="142.8" height="18" align-x="822" align-y="4914" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="16"> <b>Roll Natural Period</b> </f> </p> </text> </region> <region region-id="1663" left="72" top="4911.6" width="145.8" height="18" align-x="72" align-y="4926" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="16"> <b>Calculated Guess</b> </f> </p> </text> </region> <region region-id="1670" left="510" top="4911.6" width="193.8" height="18" align-x="510" align-y="4926" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="16"> <b>Calculated from SW FEA</b> </f> </p> </text> </region> <region region-id="1413" left="90" top="4941" width="61.8" height="12.6" align-x="128.4" align-y="4950" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math 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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="444"/> </region> <region region-id="1991" left="942" top="4942.2" width="82.8" height="17.4" align-x="972.6" align-y="4956" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml: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="445"/> </region> <region region-id="1415" left="120" top="4971" width="80.4" height="12.6" align-x="165" align-y="4980" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="446"/> </region> <region region-id="1416" left="234" top="4971" width="72.6" height="12.6" align-x="271.2" align-y="4980" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="447"/> </region> <region region-id="1671" left="552" top="4966.2" width="107.4" height="21" align-x="591.6" align-y="4980" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="448"/> </region> <region region-id="1997" left="954" top="4971" width="55.2" height="16.2" align-x="975" align-y="4980" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="449"/> </region> <region region-id="1998" left="1020" top="4971" width="54" height="16.2" align-x="1033.8" align-y="4980" 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="450"/> </region> <region region-id="1992" left="864" top="4977" width="60.6" height="16.2" align-x="879" 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" 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="451"/> </region> <region region-id="1672" left="552" top="4996.2" width="99" height="21" align-x="583.2" align-y="5010" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="452"/> </region> <region region-id="1417" left="66" top="5012.4" width="160.2" height="27" align-x="145.2" align-y="5028" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="453"/> </region> <region region-id="1418" left="276" top="5019" width="124.2" height="16.2" align-x="354" align-y="5028" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="454"/> </region> <region region-id="1673" left="552" top="5031" width="108" height="16.2" align-x="584.4" align-y="5040" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="455"/> </region> <region region-id="1999" left="852" top="5016" width="72.6" height="35.4" align-x="871.2" align-y="5040" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="456"/> </region> <region region-id="2001" left="954" top="5031" width="57.6" height="16.2" align-x="972" align-y="5040" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="457"/> </region> <region region-id="1674" left="552" top="5061" width="72.6" height="16.2" align-x="583.2" align-y="5070" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="458"/> </region> <region region-id="1419" left="72" top="5060.4" width="255.6" height="27" align-x="142.8" 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="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="459"/> </region> <region region-id="1422" left="360" top="5067" width="111" height="16.2" align-x="429.6" 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="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="460"/> </region> <region region-id="1424" left="180" top="5109" width="195" height="16.2" align-x="220.2" align-y="5118" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="461"/> </region> <region region-id="1425" left="408" top="5115" width="80.4" height="12.6" align-x="447" align-y="5124" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="462"/> </region> <region region-id="1502" left="42" top="5181.6" width="343.8" height="32.4" align-x="42" align-y="5196" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="16"> <b>Added Mass </b> </f> <f size="12"> <b>(3D ellipsoid from Irrotation Flow of Frictionless Fluids, Kennard DTMB 1967)</b> </f> </p> </text> </region> <region region-id="1664" left="576" top="5193.6" width="117" height="18" align-x="576" align-y="5208" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="16"> <b>Failure Rate</b> </f> </p> </text> </region> <region region-id="1665" left="726" top="5205" width="40.2" height="12.6" align-x="753" align-y="5214" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="463"/> </region> <region region-id="1666" left="540" top="5234.4" width="154.8" height="41.4" align-x="577.2" 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" 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="464"/> </region> <region region-id="1667" left="738" top="5234.4" width="118.8" height="31.8" align-x="774" 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: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="465"/> </region> <region region-id="1530" left="30" top="5240.4" width="95.4" height="31.8" align-x="51.6" align-y="5256" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="466"/> </region> <region region-id="1531" left="138" top="5247" width="36" height="12.6" align-x="150.6" align-y="5256" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="467"/> </region> <region region-id="1555" left="192" top="5247" width="40.2" height="12.6" align-x="204" align-y="5256" 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="468"/> </region> <region region-id="1668" left="540" top="5282.4" width="86.4" height="31.8" align-x="591" align-y="5298" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="469"/> </region> <region region-id="1535" left="78" top="5281.8" width="54.6" height="38.4" align-x="89.4" align-y="5304" 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="470"/> </region> <region region-id="1536" left="180" top="5283.6" width="130.2" height="36.6" align-x="198" align-y="5304" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="471"/> </region> <region region-id="1669" left="684" top="5288.4" width="97.2" height="31.8" align-x="733.8" align-y="5304" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="472"/> </region> <region region-id="1540" left="180" top="5331" width="51.6" height="16.2" align-x="196.8" 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="0">α</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.15817630542510416</ml:real> </result> </ml:eval> </math> <rendering item-idref="473"/> </region> <region region-id="1539" left="84" top="5337" width="45" height="12.6" align-x="94.2" align-y="5346" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="474"/> </region> <region region-id="1541" left="72" top="5372.4" width="110.4" height="27" align-x="118.2" align-y="5388" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="475"/> </region> <region region-id="1548" left="210" top="5368.8" width="50.4" height="34.2" align-x="223.2" align-y="5388" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="476"/> </region> <region region-id="1549" left="312" top="5379" width="105.6" height="16.2" align-x="361.2" align-y="5388" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="477"/> </region> <region region-id="1551" left="78" top="5415" width="95.4" height="16.2" align-x="123" 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: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="478"/> </region> <region region-id="1552" left="216" top="5415" width="46.8" height="12.6" align-x="228" 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: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="479"/> </region> <region region-id="1550" left="318" top="5415" width="90" height="16.2" align-x="366" 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: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="480"/> </region> <region region-id="1660" left="72" top="5452.8" width="176.4" height="34.2" align-x="145.8" align-y="5472" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="481"/> </region> <region region-id="1554" left="288" top="5463" width="107.4" height="12.6" align-x="360.6" align-y="5472" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="482"/> </region> <region region-id="1649" left="36" top="5493.6" width="343.8" height="32.4" align-x="36" align-y="5508" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="16"> <b>Added Mass </b> </f> <f size="12"> <b>(3D ellipsoid from Handbook of Ocean Engineering)</b> </f> </p> </text> </region> <region region-id="1711" left="492" top="5517.6" width="343.8" height="18" align-x="492" align-y="5532" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="16"> <b>Weight of trapped silt</b> </f> </p> </text> </region> <region region-id="2284" left="912" top="5517.6" width="343.8" height="18" align-x="912" align-y="5532" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="16"> <b>Weight/Displacement of housing per inch</b> </f> </p> </text> </region> <region region-id="1650" left="90" top="5528.4" width="51" height="27" align-x="124.8" align-y="5544" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="483"/> </region> <region region-id="1651" left="180" top="5534.4" width="170.4" height="27" align-x="197.4" align-y="5550" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="484"/> </region> <region region-id="1700" left="528" top="5559" width="40.2" height="12.6" align-x="544.8" align-y="5568" 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="485"/> </region> <region region-id="1652" left="84" top="5577" width="68.4" height="12.6" align-x="117.6" align-y="5586" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">aOverb</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>3.8571428571428572</ml:real> </result> </ml:eval> </math> <rendering item-idref="486"/> </region> <region region-id="1653" left="192" top="5577" width="51" height="16.2" align-x="208.2" align-y="5586" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" 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="487"/> </region> <region region-id="2286" left="930" top="5570.4" width="81.6" height="31.8" align-x="979.2" 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">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="488"/> </region> <region region-id="2287" left="1056" top="5577" width="79.8" height="12.6" align-x="1100.4" align-y="5586" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml: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="489"/> </region> <region region-id="2289" left="1152" top="5577" width="79.2" height="12.6" align-x="1200.6" 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">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="490"/> </region> <region region-id="1701" left="528" top="5583" width="72" height="12.6" align-x="549" align-y="5592" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="491"/> </region> <region region-id="1702" left="528" top="5607" width="54" height="12.6" align-x="541.8" align-y="5616" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml: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="492"/> </region> <region region-id="1706" left="624" top="5600.4" width="73.8" height="31.8" align-x="646.8" align-y="5616" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml: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="493"/> </region> <region region-id="1658" left="96" top="5619" width="88.8" height="16.2" align-x="124.2" 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" 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="494"/> </region> <region region-id="1659" left="240" top="5619" width="72.6" height="16.2" align-x="267" 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: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="495"/> </region> <region region-id="2290" left="948" top="5618.4" width="282" height="27" align-x="1061.4" align-y="5634" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="496"/> </region> <region region-id="1707" left="534" top="5642.4" width="102" height="27" align-x="555" align-y="5658" 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="497"/> </region> <region region-id="1708" left="660" top="5644.2" width="67.8" height="17.4" align-x="679.8" align-y="5658" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="498"/> </region> <region region-id="2291" left="1014" top="5648.4" width="157.8" height="27" align-x="1126.2" 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">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="499"/> </region> <region region-id="1661" left="66" top="5662.8" width="155.4" height="34.2" align-x="139.8" align-y="5682" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define 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="500"/> </region> <region region-id="1662" left="282" top="5673" width="107.4" height="12.6" align-x="354.6" align-y="5682" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml: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="501"/> </region> <region region-id="1709" left="540" top="5673" width="74.4" height="16.2" align-x="573.6" align-y="5682" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">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="502"/> </region> <region region-id="1710" left="654" top="5673" width="78" height="12.6" align-x="686.4" align-y="5682" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml: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="503"/> </region> <region region-id="2292" left="1020" top="5678.4" width="155.4" height="27" align-x="1132.2" 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">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="504"/> </region> <region region-id="2307" left="930" top="5714.4" width="95.4" height="31.8" align-x="951.6" 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" 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="505"/> </region> <region region-id="2308" left="1074" top="5714.4" width="215.4" height="27" align-x="1197.6" 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: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="506"/> </region> <region region-id="1675" left="42" top="5739.6" width="343.8" height="18" align-x="42" align-y="5754" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="16"> <b>Freeboard per kilo</b> </f> </p> </text> </region> <region region-id="2477" left="1080" top="5738.4" width="170.4" height="27" align-x="1202.4" align-y="5754" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="507"/> </region> <region region-id="1688" left="510" top="5745.6" width="343.8" height="18" align-x="510" align-y="5760" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="16"> <b>Reservoir check valve</b> </f> </p> </text> </region> <region region-id="1679" left="192" top="5768.4" width="95.4" height="31.8" align-x="213.6" align-y="5784" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="508"/> </region> <region region-id="2478" left="1086" top="5768.4" width="168" height="27" align-x="1208.4" align-y="5784" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="509"/> </region> <region region-id="1676" left="66" top="5781" width="51" height="12.6" align-x="86.4" 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: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="510"/> </region> <region region-id="1690" left="510" top="5787" width="64.2" height="12.6" align-x="543.6" align-y="5796" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="511"/> </region> <region region-id="1691" left="606" top="5780.4" width="90" height="27" align-x="645" align-y="5796" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="512"/> </region> <region region-id="2474" left="912" top="5792.4" width="164.4" height="27" align-x="1036.8" align-y="5808" show-border="false" show-highlight="false" is-protected="true" z-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="513"/> </region> <region region-id="1677" left="66" top="5798.4" width="102.6" height="35.4" align-x="112.2" align-y="5814" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml: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="514"/> </region> <region region-id="1680" left="192" top="5798.4" width="93" height="27" align-x="237" align-y="5814" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml: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="515"/> </region> <region region-id="1692" left="510" top="5823" width="63" height="12.6" align-x="549.6" 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">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="516"/> </region> <region region-id="1693" left="612" top="5816.4" width="72.6" height="31.8" align-x="633.6" 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" 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="517"/> </region> <region region-id="2483" left="918" top="5841" width="376.8" height="12.6" align-x="1053" 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">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="518"/> </region> <region region-id="1684" left="66" top="5847" width="51" height="12.6" align-x="86.4" align-y="5856" 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="519"/> </region> <region region-id="1694" left="516" top="5859" width="105" height="16.2" align-x="562.8" 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">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="520"/> </region> <region region-id="1695" left="672" top="5852.4" width="91.8" height="31.8" align-x="717.6" align-y="5868" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml: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="521"/> </region> <region region-id="2485" left="924" top="5858.4" width="179.4" height="27" align-x="1057.8" align-y="5874" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="522"/> </region> <region region-id="1685" left="66" top="5864.4" width="102.6" height="35.4" align-x="112.2" align-y="5880" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define 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="523"/> </region> <region region-id="1686" left="192" top="5864.4" width="88.2" height="27" align-x="237" align-y="5880" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml: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="524"/> </region> <region region-id="1698" left="648" top="5882.4" width="64.8" height="27" align-x="673.2" align-y="5898" show-border="false" show-highlight="false" is-protected="true" z-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="525"/> </region> <region region-id="2488" left="924" top="5894.4" width="181.8" height="27" align-x="1057.8" 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">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="526"/> </region> <region region-id="1894" left="744" top="5967" width="196.8" height="32.4" align-x="744" align-y="5976" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0" size="10"> <c val="#333">• Pressure lines — 25 fps or 7.62 meters/sec.</c> </f> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0" size="10"> <c val="#333">• Return lines — 10 fps or 3.05 meters/sec.</c> </f> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0" size="10"> <c val="#333">• Suction lines — 4 fps or 1.22 meters/sec.</c> </f> </p> </text> </region> <region region-id="2313" left="1062" top="5966.4" width="140.4" height="31.8" align-x="1140.6" align-y="5982" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml: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="527"/> </region> <region region-id="1878" left="510" top="5973.6" width="211.8" height="18" align-x="510" align-y="5988" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="16"> <b>Hydraulic Pipe Sizing calcs</b> </f> </p> </text> </region> <region region-id="2176" left="48" top="5979.6" width="343.8" height="18" align-x="48" align-y="5994" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="16"> <b>LM5118 Resistor calcs</b> </f> </p> </text> </region> <region region-id="2177" left="54" top="6021" width="60" height="12.6" align-x="72" align-y="6030" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">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="528"/> </region> <region region-id="1880" left="540" top="6015.6" width="89.4" height="31.8" align-x="583.2" align-y="6036" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="529"/> </region> <region region-id="1881" left="648" top="6020.4" width="101.4" height="27" align-x="702.6" align-y="6036" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="530"/> </region> <region region-id="1882" left="774" top="6027" width="39" height="12.6" align-x="792.6" align-y="6036" 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="531"/> </region> <region region-id="2178" left="54" top="6039" width="61.2" height="12.6" align-x="79.8" align-y="6048" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="532"/> </region> <region region-id="2179" left="54" top="6056.4" width="103.2" height="27" align-x="72" 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">R8</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">R9</ml:id> 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item-idref="534"/> </region> <region region-id="2181" left="336" top="6063" width="91.2" height="12.6" align-x="375.6" 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">R8actual</ml:id> <ml:apply> <ml:mult/> <ml:real>11000</ml:real> <ml:id xml:space="preserve">ohm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="535"/> </region> <region region-id="1883" left="540" top="6069" width="151.8" height="12.6" align-x="582.6" align-y="6078" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">FlowRate</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id 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<ml:mult/> <ml:real>.05</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="540"/> </region> <region region-id="1885" left="546" top="6117" width="130.8" height="12.6" align-x="579" align-y="6126" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="541"/> </region> <region region-id="1899" left="702" top="6117" width="66.6" height="12.6" align-x="733.8" align-y="6126" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">pipeID</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">in</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.15</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="542"/> </region> <region region-id="2182" left="66" top="6116.4" width="114.6" height="27" align-x="76.2" align-y="6132" 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="543"/> </region> <region region-id="2183" left="192" top="6118.2" width="82.2" height="17.4" align-x="201" align-y="6132" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">I</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.0020689655172413794</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="544"/> 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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">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="546"/> </region> <region region-id="1889" left="684" top="6134.4" width="101.4" height="27" align-x="738.6" align-y="6150" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">FlowVelocity</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ft</ml:id> <ml:id xml:space="preserve">sec</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>9.3776981341201751</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot"/> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="547"/> </region> <region region-id="2185" left="342" top="6147" width="93" height="16.2" align-x="387.6" align-y="6156" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="actual">Vout</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>24.162203389830509</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="volt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="548"/> </region> <region region-id="2186" left="72" top="6154.2" width="93" height="21" align-x="114" align-y="6168" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="549"/> </region> <region region-id="2187" left="192" top="6159" width="85.8" height="16.2" align-x="232.8" align-y="6168" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math 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<rendering item-idref="551"/> </region> <region region-id="2094" left="642" top="6183" width="76.2" height="12.6" align-x="682.8" align-y="6192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">pipeWall</ml:id> <ml:apply> <ml:mult/> <ml:real>.028</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="552"/> </region> <region region-id="2188" left="72" top="6184.2" width="71.4" height="21" align-x="114" align-y="6198" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="R9">Power</ml:id> <ml:apply> <ml:mult/> <ml:id 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align-y="6216" 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">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="555"/> </region> <region region-id="2096" left="672" top="6207" width="71.4" height="12.6" align-x="703.8" align-y="6216" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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 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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 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="586"/> </region> <region region-id="2012" left="618" top="6453" width="52.2" height="12.6" align-x="633.6" 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: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="587"/> </region> <region region-id="1870" left="60" top="6458.4" width="114.6" height="27" align-x="70.2" align-y="6474" 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="588"/> </region> <region region-id="1871" left="186" top="6460.2" width="82.2" height="17.4" align-x="195" align-y="6474" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="589"/> </region> <region region-id="1872" left="336" top="6471" width="88.2" height="16.2" align-x="381.6" align-y="6480" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="590"/> </region> <region region-id="2005" left="618" top="6488.4" width="163.2" height="30.6" align-x="640.2" align-y="6504" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="591"/> </region> <region region-id="2024" left="822" top="6495" width="68.4" height="12.6" align-x="843" align-y="6504" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="592"/> </region> <region region-id="1873" left="66" top="6496.2" width="93" height="21" align-x="108" align-y="6510" 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="593"/> </region> <region region-id="1874" left="186" top="6501" width="85.8" height="16.2" align-x="226.8" align-y="6510" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="594"/> </region> <region region-id="1875" left="66" top="6526.2" width="71.4" height="21" align-x="108" align-y="6540" 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="595"/> </region> <region region-id="1876" left="186" top="6526.2" width="115.8" height="21" align-x="226.8" align-y="6540" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="596"/> </region> <region region-id="2136" left="480" top="6585.6" width="343.8" height="18" align-x="480" align-y="6600" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="16"> <b>Various volume calculations</b> </f> </p> </text> </region> <region region-id="2109" left="60" top="6597.6" width="343.8" height="18" align-x="60" align-y="6612" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="16"> <b>Inertial impact calculation</b> </f> </p> </text> </region> <region region-id="2137" left="492" top="6651" width="57" height="12.6" align-x="508.8" 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: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="597"/> </region> <region region-id="2140" left="588" top="6651" width="61.2" height="12.6" align-x="609" 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: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="598"/> </region> <region region-id="2141" left="660" top="6651" width="69.6" height="12.6" align-x="689.4" 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: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="599"/> </region> <region region-id="2110" left="54" top="6650.4" width="63.6" height="27" align-x="81" align-y="6666" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="600"/> </region> <region region-id="2112" left="138" top="6657" width="59.4" height="12.6" align-x="163.8" align-y="6666" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="601"/> </region> <region region-id="2113" left="234" top="6650.4" width="72.6" height="27" align-x="271.2" align-y="6666" 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="602"/> </region> <region region-id="2119" left="324" top="6657" width="90" height="12.6" align-x="378.6" align-y="6666" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="603"/> </region> <region region-id="2142" left="498" top="6674.4" width="88.2" height="31.8" align-x="530.4" 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 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="604"/> </region> <region region-id="2114" left="90" top="6698.4" width="134.4" height="27" align-x="143.4" align-y="6714" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="605"/> </region> <region region-id="2117" left="246" top="6705" width="83.4" height="12.6" align-x="298.2" align-y="6714" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="606"/> </region> <region region-id="2120" left="336" top="6705" width="95.4" height="12.6" align-x="388.2" align-y="6714" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="607"/> </region> <region region-id="2143" left="498" top="6710.4" width="156" height="27" align-x="529.2" align-y="6726" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="608"/> </region> <region region-id="2145" left="690" top="6712.2" width="105.6" height="17.4" align-x="720" align-y="6726" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="609"/> </region> <region region-id="2126" left="30" top="6734.4" width="92.4" height="31.8" align-x="85.2" align-y="6750" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="610"/> </region> <region region-id="2127" left="138" top="6734.4" width="104.4" height="27" align-x="183.6" align-y="6750" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="611"/> </region> <region region-id="2128" left="258" top="6742.2" width="88.2" height="17.4" align-x="302.4" align-y="6756" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="612"/> </region> <region region-id="2146" left="504" top="6747" width="61.2" height="12.6" align-x="525" align-y="6756" 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="613"/> </region> <region region-id="2149" left="594" top="6747" width="57" height="12.6" align-x="610.8" align-y="6756" 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="614"/> </region> <region region-id="2151" left="678" top="6740.4" width="97.8" height="27" align-x="704.4" align-y="6756" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="615"/> </region> <region region-id="2152" left="678" top="6772.2" width="69" height="17.4" align-x="703.2" align-y="6786" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="616"/> </region> <region region-id="2132" left="36" top="6788.4" width="106.2" height="27" align-x="93" align-y="6804" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="617"/> </region> <region region-id="2133" left="180" top="6786.6" width="127.2" height="28.8" align-x="231.6" align-y="6804" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="618"/> </region> <region region-id="2134" left="324" top="6795" width="90" height="12.6" align-x="374.4" align-y="6804" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="619"/> </region> <region region-id="2155" left="540" top="6837" width="43.8" height="12.6" align-x="552" 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">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="620"/> </region> <region region-id="2156" left="540" top="6861" width="61.2" height="12.6" align-x="550.8" 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: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="621"/> </region> <region region-id="2166" left="48" top="6867.6" width="343.8" height="36" align-x="48" align-y="6882" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="16"> <b>Seabird energy calc from APEX energy budget file</b> </f> </p> </text> </region> <region region-id="2167" left="102" top="6957" width="79.8" height="12.6" align-x="149.4" 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: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="622"/> </region> <region region-id="2168" left="216" top="6957" width="61.8" height="12.6" align-x="242.4" 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: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="623"/> </region> <region region-id="2169" left="102" top="6986.4" width="137.4" height="27" align-x="135" align-y="7002" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="624"/> </region> <region region-id="2170" left="72" top="7047.6" width="343.8" height="18" align-x="72" 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"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="16"> <b>Housing Diameter tradeoff</b> </f> </p> </text> </region> <region region-id="2171" left="42" top="7089" width="50.4" height="12.6" align-x="69" align-y="7098" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="625"/> </region> <region region-id="2172" left="108" top="7089" width="59.4" height="12.6" align-x="139.2" align-y="7098" 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="626"/> </region> <region region-id="2173" left="36" top="7106.4" width="144" height="27" align-x="57" align-y="7122" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">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="627"/> </region> <region region-id="2175" left="264" top="7106.4" width="132.6" height="31.8" align-x="295.2" align-y="7122" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">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="628"/> </region> <region region-id="2190" left="54" top="7221.6" width="343.8" height="18" align-x="54" align-y="7236" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f size="16"> <b>LM8611 Resistor calcs</b> </f> </p> </text> </region> <region region-id="2624" left="348" top="7251" width="321" height="32.4" align-x="352.8" align-y="7260" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">R1 on app note = R10 on 1750A eval board</p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"/> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">R2 on data sheet = R11 on 1750A eval board</p> </text> </region> <region region-id="2191" left="60" top="7263" width="74.4" height="12.6" align-x="78" align-y="7272" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">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="629"/> </region> <region region-id="2205" left="168" top="7263" width="152.4" height="10.8" align-x="172.8" align-y="7272" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">R1 is tied to Vout<sp count="2"/>R2 goes to ground</p> </text> </region> <region region-id="2192" left="60" top="7281" width="61.2" height="12.6" align-x="85.8" align-y="7290" 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="630"/> </region> <region region-id="2207" left="198" top="7281" width="55.8" height="12.6" align-x="218.4" align-y="7290" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="631"/> </region> <region region-id="2193" left="60" top="7298.4" width="103.2" height="27" align-x="78" align-y="7314" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">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="632"/> </region> <region region-id="2194" left="198" top="7300.2" width="83.4" height="17.4" align-x="214.8" align-y="7314" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml: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="633"/> </region> <region region-id="2195" left="342" top="7300.2" width="96" height="17.4" align-x="381.6" align-y="7314" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">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="634"/> </region> <region region-id="2208" left="78" top="7335" width="28.2" height="12.6" align-x="90.6" align-y="7344" 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="635"/> </region> <region region-id="2196" left="72" top="7358.4" width="75" height="27" align-x="82.2" align-y="7374" 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="636"/> </region> <region region-id="2197" left="198" top="7360.2" width="82.2" height="17.4" align-x="207" align-y="7374" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="637"/> </region> <region region-id="2198" left="342" top="7358.4" width="150.6" height="27" align-x="388.8" align-y="7374" 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="638"/> </region> <region region-id="2199" left="348" top="7389" width="93" height="16.2" align-x="393.6" align-y="7398" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml: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="639"/> </region> <region region-id="2200" left="78" top="7396.2" width="93" height="21" align-x="120" align-y="7410" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="640"/> </region> <region region-id="2201" left="198" top="7396.2" width="111" height="21" align-x="238.8" align-y="7410" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="641"/> </region> <region region-id="2202" left="78" top="7426.2" width="71.4" height="21" align-x="120" align-y="7440" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="642"/> </region> <region region-id="2203" left="198" top="7426.2" width="111" height="21" align-x="238.8" align-y="7440" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="643"/> </region> <region region-id="2209" left="78" top="7466.4" width="157.2" height="27" align-x="93.6" align-y="7482" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="644"/> </region> <region region-id="2212" left="312" top="7474.2" width="87.6" height="17.4" align-x="326.4" align-y="7488" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml: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="645"/> </region> <region region-id="2663" left="312" top="7527" width="321" height="32.4" align-x="316.8" align-y="7536" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">R1 on app note = R10 on 1750A eval board</p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"/> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">R2 on data sheet = R11 on 1750A eval board</p> </text> </region> <region region-id="2664" left="24" top="7539" width="79.2" height="12.6" align-x="42" align-y="7548" 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="646"/> </region> <region region-id="2665" left="132" top="7539" width="160.8" height="10.8" align-x="136.8" align-y="7548" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">R1 is tied to Vout<sp count="2"/>R2 goes to ground</p> </text> </region> <region region-id="2666" left="24" top="7557" width="61.2" height="12.6" align-x="49.8" align-y="7566" 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="647"/> </region> <region region-id="2667" left="162" top="7557" width="55.8" height="12.6" align-x="182.4" align-y="7566" 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="648"/> </region> <region region-id="2684" left="48" top="7574.4" width="87" height="41.4" align-x="66" 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 warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">R2</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">R1</ml:id> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Vout</ml:id> <ml:apply> <ml:mult/> <ml:real>.97</ml:real> <ml:id xml:space="preserve">volt</ml:id> </ml:apply> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="649"/> </region> <region region-id="2686" left="162" top="7576.2" width="83.4" height="17.4" align-x="178.8" 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">R2</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>87941.976427923844</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ohm"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="650"/> </region> <region region-id="2687" left="306" top="7581" width="82.2" height="12.6" align-x="345.6" 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">R2actual</ml:id> <ml:apply> <ml:mult/> <ml:real>86600</ml:real> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="651"/> </region> <region region-id="2671" left="42" top="7617" width="28.2" height="12.6" align-x="54.6" align-y="7626" 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="652"/> </region> <region region-id="2672" left="36" top="7640.4" width="75" height="27" align-x="46.2" align-y="7656" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">I</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Vout</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">R1</ml:id> <ml:id xml:space="preserve">R2actual</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="653"/> </region> <region region-id="2673" left="162" top="7642.2" width="82.2" height="17.4" align-x="171" align-y="7656" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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>1.1043622308117063E-05</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="654"/> </region> <region region-id="2674" left="306" top="7640.4" width="150.6" height="27" align-x="352.8" align-y="7656" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="actual">Vout</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult/> <ml:real font="0">0.97</ml:real> <ml:id xml:space="preserve">volt</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">R1</ml:id> <ml:id xml:space="preserve">R2actual</ml:id> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="655"/> </region> <region region-id="2675" left="312" top="7671" width="93" height="16.2" align-x="357.6" align-y="7680" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="actual">Vout</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>12.170923787528867</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="volt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="656"/> </region> <region region-id="2676" left="42" top="7678.2" width="93" height="21" align-x="84" align-y="7692" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="R1">Power</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">R1actual</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">I</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="657"/> </region> <region region-id="2677" left="162" top="7678.2" width="115.8" height="21" align-x="202.8" align-y="7692" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="R1">Power</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.00057321949031640188</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="658"/> </region> <region region-id="2678" left="42" top="7708.2" width="71.4" height="21" align-x="84" align-y="7722" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="R2">Power</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">R2</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">I</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="659"/> </region> <region region-id="2679" left="162" top="7708.2" width="115.8" height="21" align-x="202.8" align-y="7722" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="660"/> </region> <region region-id="2680" left="42" top="7748.4" width="157.2" height="27" align-x="57.6" align-y="7764" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">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="661"/> </region> <region region-id="2681" left="276" top="7756.2" width="87.6" height="17.4" align-x="290.4" 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:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Iq</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>7.60892857142857E-06</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="662"/> </region> <region region-id="2213" left="48" top="7821" width="74.4" height="12.6" align-x="66" align-y="7830" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">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="663"/> </region> <region region-id="2214" left="156" top="7821" width="152.4" height="10.8" align-x="160.8" align-y="7830" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">R1 is tied to Vout<sp count="2"/>R2 goes to ground</p> </text> </region> <region region-id="2215" left="48" top="7839" width="56.4" height="12.6" align-x="73.8" align-y="7848" 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="664"/> </region> <region region-id="2216" left="186" top="7839" width="55.8" height="12.6" align-x="206.4" align-y="7848" 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="665"/> </region> <region region-id="2217" left="48" top="7856.4" width="103.2" height="27" align-x="66" align-y="7872" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">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="666"/> </region> <region region-id="2218" left="186" top="7858.2" width="83.4" height="17.4" align-x="202.8" 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">R1</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1711711.3402061858</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ohm"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="667"/> </region> <region region-id="2219" left="330" top="7858.2" width="100.8" height="17.4" align-x="369.6" align-y="7872" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">R1actual</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>1.74</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>6</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">ohm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="668"/> </region> <region region-id="2220" left="66" top="7893" width="28.2" height="12.6" align-x="78.6" align-y="7902" 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="669"/> </region> <region region-id="2221" left="60" top="7916.4" width="75" height="27" align-x="70.2" align-y="7932" 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="670"/> </region> <region region-id="2222" left="186" top="7918.2" width="82.2" height="17.4" align-x="195" align-y="7932" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">I</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.3234200743494424E-06</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="671"/> </region> <region region-id="2223" left="330" top="7916.4" width="150.6" height="27" align-x="376.8" align-y="7932" 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> 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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="674"/> </region> <region region-id="2226" left="186" top="7954.2" width="115.8" height="21" align-x="226.8" align-y="7968" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="R1">Power</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>9.3930086648885441E-06</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="675"/> </region> <region region-id="2227" left="66" top="7984.2" width="71.4" height="21" align-x="108" align-y="7998" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" 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="676"/> </region> <region region-id="2228" left="186" top="7984.2" width="115.8" height="21" align-x="226.8" align-y="7998" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="R2">Power</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.2240917068586667E-06</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="677"/> </region> <region region-id="2229" left="66" top="8024.4" width="157.2" height="27" align-x="81.6" align-y="8040" 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="678"/> </region> <region region-id="2230" left="300" top="8032.2" width="87.6" height="17.4" align-x="314.4" align-y="8046" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="679"/> </region> <region region-id="2231" left="48" top="8115" width="74.4" height="12.6" align-x="66" align-y="8124" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">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="680"/> </region> <region region-id="2232" left="156" top="8115" width="152.4" height="10.8" align-x="160.8" align-y="8124" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">R1 is tied to Vout<sp count="2"/>R2 goes to ground</p> </text> </region> <region region-id="2233" left="48" top="8133" width="63.6" height="12.6" align-x="73.8" align-y="8142" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Vout</ml:id> <ml:apply> <ml:mult/> <ml:real>3.3</ml:real> <ml:id xml:space="preserve">volt</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="681"/> </region> <region region-id="2234" left="186" top="8133" width="55.8" height="12.6" align-x="206.4" align-y="8142" 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="682"/> </region> <region region-id="2235" left="48" top="8150.4" width="103.2" height="27" align-x="66" align-y="8166" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">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="683"/> </region> <region region-id="2236" left="186" top="8152.2" width="83.4" height="17.4" align-x="202.8" align-y="8166" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml: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="684"/> </region> <region region-id="2237" left="330" top="8152.2" width="88.8" height="17.4" align-x="369.6" align-y="8166" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">R1actual</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>1</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>6</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">ohm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="685"/> </region> <region region-id="2238" left="66" top="8187" width="28.2" height="12.6" align-x="78.6" align-y="8196" 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="686"/> </region> <region region-id="2239" left="60" top="8210.4" width="75" height="27" align-x="70.2" 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: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="687"/> </region> <region region-id="2240" left="186" top="8212.2" width="82.2" height="17.4" align-x="195" 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">I</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.337110481586402E-06</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="688"/> </region> <region region-id="2241" left="330" top="8210.4" width="150.6" height="27" align-x="376.8" 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: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="689"/> </region> <region region-id="2242" left="336" top="8241" width="88.2" height="16.2" align-x="381.6" align-y="8250" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="actual">Vout</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>3.3243689320388348</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="volt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="690"/> </region> <region region-id="2243" left="66" top="8248.2" width="93" height="21" align-x="108" align-y="8262" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="R1">Power</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">R1actual</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">I</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="691"/> </region> <region region-id="2244" left="186" top="8248.2" width="115.8" height="21" align-x="226.8" align-y="8262" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="R1">Power</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>5.4620854031410236E-06</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="692"/> </region> <region region-id="2245" left="66" top="8278.2" width="71.4" height="21" align-x="108" align-y="8292" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="R2">Power</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">R2</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">I</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="693"/> </region> <region region-id="2246" left="186" top="8278.2" width="111" height="21" 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top="9356.4" width="99" height="27" align-x="311.4" align-y="9372" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:mult/> <ml:real>31.361</ml:real> <ml:apply> <ml:div/> <ml:real>7.818</ml:real> <ml:real>9.321</ml:real> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>26.304076601223045</ml:real> </result> </ml:eval> </math> <rendering item-idref="742"/> </region> <region region-id="2563" left="36" top="9429.6" width="199.2" height="18" align-x="53.4" align-y="9444" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" 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xml:space="preserve">Rsense</ml:id> <ml:apply> <ml:mult/> <ml:real>0.012</ml:real> <ml:id xml:space="preserve">ohm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="744"/> </region> <region region-id="2567" left="252" top="9465" width="72" height="12.6" align-x="277.2" align-y="9474" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Rout</ml:id> <ml:apply> <ml:mult/> <ml:real>1000</ml:real> <ml:id xml:space="preserve">ohm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="745"/> </region> <region region-id="2570" left="96" top="9494.4" width="161.4" height="27" align-x="148.8" align-y="9510" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define 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xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Vout</ml:id> <ml:apply> <ml:mult/> <ml:real>.123</ml:real> <ml:id xml:space="preserve">volt</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="747"/> </region> <region region-id="2572" left="162" top="9537" width="154.2" height="12.6" align-x="192" align-y="9546" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Isense</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">Vout</ml:id> <ml:id xml:space="preserve">Vout2Isense</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.20500000000000002</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> 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<ml:id xml:space="preserve">Length1Way</ml:id> <ml:apply> <ml:mult/> <ml:real>1</ml:real> <ml:id xml:space="preserve">ft</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="781"/> </region> <region region-id="2760" left="54" top="10226.4" width="159" height="27" align-x="154.2" align-y="10242" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="24awg">ResistancePerFoot</ml:id> <ml:apply> <ml:mult/> <ml:real>23.3</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Ω</ml:id> <ml:apply> <ml:mult/> <ml:real>1000</ml:real> <ml:id xml:space="preserve">ft</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="782"/> </region> <region region-id="2759" left="54" top="10260" width="285.6" height="35.4" align-x="102.6" align-y="10284" 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width="39.6" height="16.2" align-x="193.2" align-y="10446" 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>1.2</ml:real> </ml:define> </math> <rendering item-idref="788"/> </region> <region region-id="2817" left="30" top="10476" width="262.2" height="35.4" align-x="76.8" align-y="10500" 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">DragForce</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="d">C</ml:id> 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