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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">N</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:real>1750</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:id xml:space="preserve">winchω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="82"/> </region> <region region-id="386" left="468" top="981" width="52.8" height="12.6" align-x="481.2" align-y="990" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">N</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>65.167103610964261</ml:real> </result> </ml:eval> </math> <rendering item-idref="83"/> </region> <region region-id="497" left="624" top="986.4" width="202.8" height="31.8" align-x="771" align-y="1002" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="24diameter375Wall">AllowablePressure</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>435.11321319062768</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="84"/> </region> <region region-id="339" left="30" top="1017" width="146.4" height="16.2" align-x="118.8" align-y="1026" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="fullDrum">inertialTorque</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="cable">Ixx</ml:id> <ml:id xml:space="preserve">Acc</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="85"/> </region> <region region-id="344" left="210" top="1017" width="122.4" height="16.2" align-x="297.6" align-y="1026" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="fullDrum">inertialTorque</ml:id> <ml:unitOverride> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">ft</ml:id> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="86"/> </region> <region region-id="508" left="684" top="1034.4" width="76.8" height="31.8" align-x="711.6" align-y="1050" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">stress</ml:id> <ml:apply> <ml:mult/> <ml:real>10000</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="87"/> </region> <region region-id="509" left="780" top="1041" width="78" height="12.6" align-x="822.6" align-y="1050" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">wallThick</ml:id> <ml:apply> <ml:mult/> <ml:real>.375</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="88"/> </region> <region region-id="378" left="30" top="1047" width="210.6" height="16.2" align-x="130.8" align-y="1056" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="emptyDrum">inertialTorque</ml:id> <ml:apply> <ml:mult/> <ml:real>0.05</ml:real> <ml:id xml:space="preserve" subscript="fullDrum">inertialTorque</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="89"/> </region> <region region-id="525" left="318" top="1065" width="148.8" height="16.2" align-x="414" align-y="1074" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="maxInWater">cableWeight</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>404.19947506561681</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="90"/> </region> <region region-id="345" left="30" top="1071" width="91.8" height="12.6" align-x="85.2" align-y="1080" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">clumpWeight</ml:id> <ml:apply> <ml:mult/> <ml:real>200</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="91"/> </region> <region region-id="511" left="714" top="1077" width="66.6" height="12.6" align-x="752.4" align-y="1086" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">diameter</ml:id> <ml:apply> <ml:mult/> <ml:real>36</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="92"/> </region> <region region-id="351" left="24" top="1094.4" width="156.6" height="27" align-x="105" align-y="1110" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="fullDrum">loadTorque</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">OD</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">clumpWeight</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="93"/> </region> <region region-id="352" left="204" top="1101" width="141.6" height="16.2" align-x="283.8" align-y="1110" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="fullDrum">loadTorque</ml:id> <ml:unitOverride> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">ft</ml:id> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>116.66666666666666</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot"/> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="94"/> </region> <region region-id="510" left="690" top="1112.4" width="160.2" height="27" align-x="772.8" align-y="1128" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="barlow">BurstPressure</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">stress</ml:id> </ml:apply> <ml:id xml:space="preserve">wallThick</ml:id> </ml:apply> <ml:id xml:space="preserve">diameter</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="95"/> </region> <region region-id="353" left="24" top="1130.4" width="273.6" height="27" align-x="117" align-y="1146" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="emptyDrum">loadTorque</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ID</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">clumpWeight</ml:id> <ml:id xml:space="preserve" subscript="maxInWater">cableWeight</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="96"/> </region> <region region-id="374" left="318" top="1137" width="144" height="16.2" align-x="409.8" align-y="1146" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="emptyDrum">loadTorque</ml:id> <ml:unitOverride> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">ft</ml:id> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>201.39982502187226</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot"/> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="97"/> </region> <region region-id="512" left="714" top="1142.4" width="137.4" height="31.8" align-x="795.6" align-y="1158" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="barlow">BurstPressure</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>208.33333333333329</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="98"/> </region> <region region-id="380" left="30" top="1173" width="247.8" height="16.2" align-x="79.2" align-y="1182" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">totalTorque</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="emptyDrum">inertialTorque</ml:id> <ml:id xml:space="preserve" subscript="emptyDrum">loadTorque</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="99"/> </region> <region region-id="381" left="300" top="1173" width="84" height="12.6" align-x="348" align-y="1182" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">totalTorque</ml:id> <ml:unitOverride> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">in</ml:id> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="100"/> </region> <region region-id="465" left="300" top="1191" width="70.8" height="12.6" align-x="348" align-y="1200" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">totalTorque</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">m</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="101"/> </region> <region region-id="384" left="36" top="1203" width="37.8" height="12.6" align-x="53.4" align-y="1212" 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">eff</ml:id> <ml:real>0.8</ml:real> </ml:define> </math> <rendering item-idref="102"/> </region> <region region-id="524" left="306" top="1209" width="82.8" height="12.6" align-x="354" align-y="1218" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">totalTorque</ml:id> <ml:unitOverride> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">ft</ml:id> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="103"/> </region> <region region-id="382" left="36" top="1226.4" width="150.6" height="27" align-x="103.2" align-y="1242" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">maxPowerReqd</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">totalTorque</ml:id> <ml:id xml:space="preserve">winchω</ml:id> </ml:apply> <ml:id xml:space="preserve">eff</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="104"/> </region> <region region-id="383" left="36" top="1263" width="90.6" height="12.6" align-x="102" align-y="1272" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is 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z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="tmp050">ContTorque</ml:id> <ml:apply> <ml:mult/> <ml:real font="0">428</ml:real> <ml:id xml:space="preserve">N·m</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="107"/> </region> <region region-id="487" left="180" top="1293" width="132.6" height="16.2" align-x="231.6" align-y="1302" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">ContTorque</ml:id> <ml:id xml:space="preserve" subscript="tmp050">ContTorque</ml:id> </ml:define> </math> <rendering item-idref="108"/> </region> <region region-id="533" left="564" top="1317" width="63.6" height="12.6" align-x="583.8" align-y="1326" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">OD</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.35559999999999997</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="109"/> </region> <region region-id="537" left="642" top="1317" width="59.4" height="12.6" align-x="657.6" align-y="1326" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">ID</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.2032</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="110"/> </region> <region region-id="492" left="330" top="1329" width="82.8" height="12.6" align-x="380.4" align-y="1338" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">ContTorque</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>428</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="joule"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="111"/> </region> <region region-id="488" left="36" top="1334.4" width="87" height="27" align-x="67.8" align-y="1350" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="reqd">N</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">totalTorque</ml:id> <ml:id xml:space="preserve">ContTorque</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="112"/> </region> <region region-id="490" left="180" top="1341" width="48" height="16.2" align-x="210.6" align-y="1350" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="reqd">N</ml:id> 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xml:space="preserve">gearRatio</ml:id> <ml:real>3</ml:real> </ml:define> </math> <rendering item-idref="115"/> </region> <region region-id="530" left="0" top="1398" width="6000" height="6" align-x="0" align-y="1398" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <pageBreak/> </region> <region region-id="466" left="36" top="1419" width="40.2" height="12.6" align-x="48" align-y="1428" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define 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="116"/> </region> <region region-id="467" left="108" top="1419" width="33.6" height="16.2" align-x="123.6" align-y="1428" show-border="false" 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optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">t</ml:id> <ml:apply> <ml:mult/> <ml:real>20</ml:real> <ml:id xml:space="preserve">mm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="119"/> </region> <region region-id="474" left="366" top="1419" width="81" height="12.6" align-x="378.6" align-y="1428" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">maxPowerReqd</ml:id> </ml:define> </math> <rendering item-idref="120"/> </region> <region region-id="544" left="480" top="1418.4" width="226.8" height="27" align-x="562.8" align-y="1434" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" 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