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show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> MOTOR SPEED CALCULATION </text> </region> <region region-id="1157" left="246" top="15" width="56.25" height="12.75" align-x="264.75" align-y="24" 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">rev</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:id xml:space="preserve">rad</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="1"/> </region> <region region-id="833" left="330" top="8.25" width="48" height="27.75" align-x="349.5" align-y="24" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> MAXON 221024 - 5.0V motor,<sp count="2"/>RE-max 21mm,<sp count="2"/>3.5W<sp count="2"/> </text> </region> <region region-id="894" left="12" top="86.25" width="53.25" height="12" align-x="12" align-y="96" 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"> MOTOR:<sp count="5"/> </text> </region> <region region-id="1055" left="270" top="86.25" width="93.75" height="12" align-x="270" align-y="96" 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"> <c val="#008080">no load speed voltage</c> </text> </region> <region region-id="1056" left="372" top="87" width="43.5" height="15" 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<ml:id xml:space="preserve">mN</ml:id> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="10"/> </region> <region region-id="881" left="12" top="266.25" width="86.25" height="12" align-x="12" align-y="276" 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"> <c val="#008080">armature resistance</c> </text> </region> <region region-id="882" left="114" top="267" width="54" height="15" align-x="129" align-y="276" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="a">R</ml:id> <ml:apply> <ml:mult/> <ml:real>2.2</ml:real> <ml:id xml:space="preserve">ohm</ml:id> </ml:apply> </ml:define> </math> <rendering 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Torque (both Static and Dyn) at 100psi Hydraulic press. = 44 - 48 ozf in. ASSUME:<sp count="2"/>Delta of 8 ozf in / 100psi Therefore at 450psi Torque required to turn the valve will be = 40+(4*8) = 82 ozf in. ASSUME: Safety Factor of 1.5 Then required Torque = 1.5*82 = 123 ozf in = 7.7 lbf in = 869.98 mNm </text> </region> <region region-id="1087" left="60" top="453" width="80.25" height="15" align-x="81.75" align-y="462" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="out">T</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>869.98</ml:real> <ml:id xml:space="preserve">mN</ml:id> </ml:apply> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="16"/> </region> <region region-id="856" left="6" top="488.25" width="27" height="12" align-x="6" align-y="498" 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"> REQ: </text> </region> <region region-id="857" left="60" top="488.25" width="237" height="12" align-x="60" align-y="498" 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"> Find the valve stem speed of rotation @ 5.0V. @ load<sp count="2"/> </text> </region> <region region-id="1071" left="12" top="518.25" width="87" height="12" align-x="12" align-y="528" 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"> <c val="#008080">actual motor voltage</c> </text> </region> <region region-id="1072" left="108" top="519" width="57" height="15" align-x="137.25" align-y="528" 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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xml:space="preserve" subscript="actual">V</ml:id> <ml:id xml:space="preserve" subscript="0">V</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="0">ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="18"/> </region> <region region-id="1082" left="336" top="554.25" width="105" height="27.75" align-x="369" align-y="570" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="0actual">ω</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>5740</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="minute" power-numerator="-1"/> <unitReference unit="revolution"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="3" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="19"/> </region> <region region-id="1085" left="12" top="602.25" width="98.25" height="12" align-x="24" align-y="612" 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"> Motor Speed @ Load: </text> </region> <region region-id="1086" left="150" top="594" width="100.5" height="32.25" align-x="165" align-y="612" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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">ω</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="0actual">ω</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">ωT</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="out">T</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">N</ml:id> <ml:id xml:space="preserve" subscript="g">η</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="20"/> </region> <region region-id="1089" left="336" top="597" width="84" height="21" align-x="350.25" align-y="612" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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">ω</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">rpm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4252.4445670159948</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="revolutions_per_minute"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="21"/> </region> <region region-id="1090" left="12" top="650.25" width="108.75" height="12" align-x="12" align-y="660" 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"> GearBox Output speed:<sp count="2"/> </text> </region> <region region-id="1091" left="156" top="642" width="42" height="30" align-x="178.5" align-y="660" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="out">ω</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="l">ω</ml:id> <ml:id xml:space="preserve">N</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="22"/> </region> <region region-id="1093" left="336" top="651" width="71.25" height="15" align-x="357.75" align-y="660" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="out">ω</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">rpm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>11.493093424367554</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="revolutions_per_minute"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="23"/> </region> <region region-id="916" left="6" top="698.25" width="133.5" height="12" align-x="6" 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"> 1/4 Turn Valve Rotation Time : </text> </region> <region region-id="917" left="174" top="692.25" width="129" height="30" align-x="213.75" align-y="708" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">RotTime</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve" subscript="out">ω</ml:id> </ml:apply> <ml:real>60</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">sec</ml:id> <ml:id xml:space="preserve">min</ml:id> </ml:apply> </ml:apply> <ml:real>.25</ml:real> </ml:apply> <ml:id xml:space="preserve">rev</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="24"/> </region> <region region-id="964" left="366" top="699" width="73.5" height="12.75" align-x="405" align-y="708" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">RotTime</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">sec</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.3051316513443745</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="second"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="1" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="25"/> </region> <region region-id="1120" left="12" top="752.25" width="90.75" height="12" align-x="12" align-y="762" 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"> Torque at the motor: </text> </region> <region region-id="1121" left="174" top="744" width="60.75" height="32.25" align-x="204" 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 xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="motor">T</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="out">T</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">N</ml:id> <ml:id xml:space="preserve" subscript="g">η</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="26"/> </region> <region region-id="1122" left="342" top="753" width="82.5" height="15" align-x="371.25" align-y="762" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="motor">T</ml:id> <ml:unitOverride> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">mN</ml:id> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>4.798565912851628</ml:real> </result> </ml:eval> </math> <rendering item-idref="27"/> </region> <region region-id="1111" left="12" top="800.25" width="145.5" height="12" align-x="12" align-y="810" 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"> <c val="#00f">required current for desired torque</c> </text> </region> <region region-id="1112" left="204" top="792" width="43.5" height="32.25" align-x="213" align-y="810" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">I</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="motor">T</ml:id> <ml:id xml:space="preserve" subscript="t">K</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="28"/> </region> <region region-id="1113" left="384" top="801" width="50.25" height="12.75" align-x="392.25" align-y="810" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:provenance expr-id="1"> <originRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="220472020" is-modified="false" region-id="0" href="C:\Jon_At_MBARI\MCadfile_14\motors.mcd" 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="1353900" is-modified="false" region-id="0" href="C:\Jon_At_MBARI\MCadfile_14\motors.mcd" 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">add56f4945a597cfb2ccd653a9112dea</contentHash> <ml:id xml:space="preserve">I</ml:id> </ml:provenance> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.58305782659193528</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="29"> <element-image-map> <box left="1.5" top="0.75" width="2.25" height="11.25" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="1117" left="12" top="842.25" width="120.75" height="12" align-x="12" align-y="852" 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"> <c val="#00f">total motor current at load:<sp count="2"/> </c> </text> </region> <region region-id="1118" left="204" top="843" width="44.25" height="15" align-x="219" align-y="852" 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="220495652" is-modified="false" region-id="0" href="C:\Jon_At_MBARI\MCadfile_14\motors.mcd" 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="220472020" is-modified="false" region-id="0" href="C:\Jon_At_MBARI\MCadfile_14\motors.mcd" 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">e239ad0bf9631540e5a8872cdf9d4051</contentHash> <ml:define> <ml:id xml:space="preserve" subscript="m">I</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">I</ml:id> <ml:id xml:space="preserve" subscript="0">I</ml:id> </ml:apply> </ml:define> </ml:provenance> </math> <rendering item-idref="30"> <element-image-map> <box left="1.5" top="0.75" width="42.75" height="13.5" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="1119" left="384" top="843" width="56.25" height="15" align-x="398.25" align-y="852" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:provenance expr-id="1"> <originRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="220472020" is-modified="false" region-id="0" href="C:\Jon_At_MBARI\MCadfile_14\motors.mcd" 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="220495652" is-modified="false" region-id="0" href="C:\Jon_At_MBARI\MCadfile_14\motors.mcd" 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">29567d7bdb7f3adfa188505b5e0721e6</contentHash> <ml:id xml:space="preserve" subscript="m">I</ml:id> </ml:provenance> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.60415782659193529</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="31"> <element-image-map> <box left="1.5" top="0.75" width="8.25" height="13.5" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="1138" left="12" top="878.25" width="114" height="12" align-x="12" align-y="888" 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"> power dissipated by motor </text> </region> <region region-id="1140" left="48" top="908.25" width="145.5" height="12" align-x="48" align-y="918" 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"> Joule losses dissipated by motor </text> </region> <region region-id="1141" left="210" top="903" width="46.5" height="21" align-x="223.5" align-y="918" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="j">P</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="m">I</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve" subscript="a">R</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="32"/> </region> <region region-id="1149" left="360" top="909" width="60.75" height="15" align-x="372.75" align-y="918" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="j">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">watt</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.80301469475104015</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="33"/> </region> <region region-id="1146" left="48" top="938.25" width="156" height="12" align-x="48" align-y="948" 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"> Mech losses dissipated by motor </text> </region> <region region-id="1147" left="210" top="939" width="57" height="15" align-x="223.5" align-y="948" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="f">P</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="motor">T</ml:id> <ml:id xml:space="preserve" subscript="l">ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="34"/> </region> <region region-id="1151" left="360" top="945" width="60.75" height="15" align-x="372.75" align-y="954" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="f">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">watt</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.13687315739354</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="35"/> </region> <region region-id="1161" left="342" top="975" width="75.75" height="15" align-x="374.25" align-y="984" show-border="false" show-highlight="false" is-protected="true" z-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:id xml:space="preserve" subscript="j">P</ml:id> <ml:id xml:space="preserve" subscript="f">P</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">watt</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.9398878521445804</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="36"/> </region> <region region-id="1094" left="72" top="1008" width="306" height="4.5" align-x="72" align-y="1008" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="37" display-width="304.5" display-height="3"/> </picture> <rendering item-idref="38"/> </region> <region region-id="1095" left="12" top="1040.25" width="27" height="12" align-x="12" align-y="1050" 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"> REQ: </text> </region> <region region-id="1096" left="66" top="1040.25" width="237" height="12" align-x="66" align-y="1050" 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"> Find the valve stem speed of rotation @ 4.0V. @ load<sp count="2"/> </text> </region> <region region-id="1097" left="18" top="1070.25" width="87" height="12" align-x="18" align-y="1080" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#008080">actual motor voltage</c> </text> </region> <region region-id="1098" left="114" top="1071" width="57" height="15" align-x="143.25" 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 warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="actual">V</ml:id> <ml:apply> <ml:mult/> <ml:real>4.0</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="39"/> </region> <region region-id="1099" left="18" top="1112.25" width="90" height="12" align-x="18" align-y="1122" 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"> actual no load speed </text> </region> <region region-id="1100" left="156" top="1104" width="81" height="32.25" align-x="189.75" align-y="1122" 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="0actual">ω</ml:id> <ml:apply> 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show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> MOTOR SPEED CALCULATION </text> </region> <region region-id="1157" left="246" top="15" width="56.25" height="12.75" align-x="264.75" align-y="24" 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">rev</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:id xml:space="preserve">rad</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="1"/> </region> <region region-id="833" left="330" top="8.25" width="48" height="27.75" align-x="349.5" align-y="24" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">mN</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">N</ml:id> <ml:real>1000</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="690" left="408" top="8.25" width="40.5" height="27.75" align-x="426.75" align-y="24" 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">ozf</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lbf</ml:id> <ml:real>16</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="171" left="12" top="56.25" width="434.25" height="12" align-x="12" align-y="66" 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"> MAXON 221024 - 5.0V motor,<sp count="2"/>RE-max 21mm,<sp count="2"/>3.5W<sp count="2"/> </text> </region> <region region-id="894" left="12" top="86.25" width="53.25" height="12" align-x="12" align-y="96" 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"> MOTOR:<sp count="5"/> </text> </region> <region region-id="1055" left="270" top="86.25" width="93.75" height="12" align-x="270" align-y="96" 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"> <c val="#008080">no load speed voltage</c> </text> </region> <region region-id="1056" left="372" top="87" width="43.5" height="15" align-x="387.75" align-y="96" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="0">V</ml:id> <ml:apply> <ml:mult/> <ml:real>5.0</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="838" left="12" top="116.25" width="60.75" height="12" align-x="12" align-y="126" 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"> <c val="#008080">no load speed</c> </text> </region> <region region-id="839" left="114" top="110.25" width="64.5" height="27.75" align-x="130.5" align-y="126" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="0">ω</ml:id> <ml:apply> <ml:mult/> <ml:real>5740.</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="5"/> </region> <region region-id="1057" left="270" top="116.25" width="64.5" height="12" align-x="270" align-y="126" 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"> <c val="#008080">no load current</c> </text> </region> <region region-id="1058" left="366" top="117" width="53.25" height="15" align-x="378.75" align-y="126" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="0">I</ml:id> <ml:apply> <ml:mult/> <ml:real>21.1</ml:real> <ml:id xml:space="preserve">mA</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="817" left="12" top="152.25" width="48" height="12" align-x="12" align-y="162" 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"> <c val="#008080">stall torque</c> </text> </region> <region region-id="818" left="108" top="153" width="74.25" height="15" align-x="132.75" align-y="162" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="stall">T</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>18.7</ml:real> <ml:id xml:space="preserve">mN</ml:id> </ml:apply> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="899" left="12" top="194.25" width="67.5" height="12" align-x="12" align-y="204" 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"> <c val="#008080">torque constant</c> </text> </region> <region region-id="896" left="108" top="188.25" width="67.5" height="27.75" align-x="123" align-y="204" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="t">K</ml:id> <ml:apply> <ml:mult/> <ml:real>8.23</ml:real> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">mN</ml:id> <ml:id xml:space="preserve">m</ml:id> </ml:apply> <ml:id xml:space="preserve">A</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="1059" left="270" top="194.25" width="67.5" height="12" align-x="270" align-y="204" 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"> <c val="#008080">speed constant</c> </text> </region> <region region-id="1060" left="366" top="188.25" width="62.25" height="27.75" align-x="381.75" align-y="204" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="s">K</ml:id> <ml:apply> <ml:mult/> <ml:real>1160</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">rpm</ml:id> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="1061" left="240" top="236.25" width="104.25" height="12" align-x="240" align-y="246" 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"> <c val="#008080">Speed-torque gradient:<sp count="2"/> </c> </text> </region> <region region-id="1065" left="366" top="230.25" width="69" height="27.75" align-x="384.75" align-y="246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">ωT</ml:id> <ml:apply> <ml:mult/> <ml:real>310</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">rpm</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">mN</ml:id> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="10"/> </region> <region region-id="881" left="12" top="266.25" width="86.25" height="12" align-x="12" align-y="276" 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"> <c val="#008080">armature resistance</c> </text> </region> <region region-id="882" left="114" top="267" width="54" height="15" align-x="129" align-y="276" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="a">R</ml:id> <ml:apply> <ml:mult/> <ml:real>2.2</ml:real> <ml:id xml:space="preserve">ohm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="1167" left="12" top="290.25" width="259.5" height="12" align-x="12" 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"> Gearbox,<sp count="2"/>GP22A, (0.5 - 1.0 Nm out),<sp count="2"/>110340, 370:1 </text> </region> <region region-id="1168" left="12" top="314.25" width="80.25" height="12" align-x="12" align-y="324" 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"> <c val="#008080">Gear Ratio</c> </text> </region> <region region-id="1169" left="120" top="315" width="34.5" height="12.75" align-x="133.5" align-y="324" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define 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region-id="694" left="78" top="360" width="306" height="4.5" align-x="78" align-y="360" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="14" display-width="304.5" display-height="3"/> </picture> <rendering item-idref="15"/> </region> <region region-id="695" left="12" top="374.25" width="36" height="12" align-x="12" align-y="384" 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"> GIVEN: </text> </region> <region region-id="698" left="60" top="374.25" width="408" height="72" align-x="60" align-y="384" 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"> Torque (Static dry) = 40 ozf in. Torque (both Static and Dyn) at 100psi Hydraulic press. = 44 - 48 ozf in. ASSUME:<sp count="2"/>Delta of 8 ozf in / 100psi Therefore at 450psi Torque required to turn the valve will be = 40+(4*8) = 82 ozf in. ASSUME: Safety Factor of 1.5 Then required Torque = 1.5*82 = 123 ozf in = 7.7 lbf in = 869.98 mNm </text> </region> <region region-id="1087" left="60" top="453" width="80.25" height="15" align-x="81.75" align-y="462" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="out">T</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>869.98</ml:real> <ml:id xml:space="preserve">mN</ml:id> </ml:apply> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="16"/> </region> <region region-id="856" left="6" top="488.25" width="27" height="12" align-x="6" align-y="498" 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"> REQ: </text> </region> <region region-id="857" left="60" top="488.25" width="237" height="12" align-x="60" align-y="498" 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"> Find the valve stem speed of rotation @ 5.0V. @ load<sp count="2"/> </text> </region> <region region-id="1071" left="12" top="518.25" width="87" height="12" align-x="12" align-y="528" 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"> <c val="#008080">actual motor voltage</c> </text> </region> <region region-id="1072" left="108" top="519" width="57" height="15" align-x="137.25" align-y="528" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="actual">V</ml:id> <ml:apply> <ml:mult/> <ml:real>5.0</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="17"/> </region> <region region-id="1083" left="12" top="560.25" width="90" height="12" align-x="12" align-y="570" 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"> actual no load speed </text> </region> <region region-id="1081" left="150" top="552" width="81" height="32.25" align-x="183.75" align-y="570" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="0actual">ω</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="actual">V</ml:id> <ml:id xml:space="preserve" subscript="0">V</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="0">ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="18"/> </region> <region region-id="1082" left="336" top="554.25" width="105" height="27.75" align-x="369" align-y="570" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="0actual">ω</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>5740</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="minute" power-numerator="-1"/> <unitReference unit="revolution"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="3" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="19"/> </region> <region region-id="1085" left="12" top="602.25" width="98.25" height="12" align-x="24" align-y="612" 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"> Motor Speed @ Load: </text> </region> <region region-id="1086" left="150" top="594" width="100.5" height="32.25" align-x="165" align-y="612" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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">ω</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="0actual">ω</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">ωT</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="out">T</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">N</ml:id> <ml:id xml:space="preserve" subscript="g">η</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="20"/> </region> <region region-id="1089" left="336" top="597" width="84" height="21" align-x="350.25" align-y="612" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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">ω</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">rpm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4252.4445670159948</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="revolutions_per_minute"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="21"/> </region> <region region-id="1090" left="12" top="650.25" width="108.75" height="12" align-x="12" align-y="660" 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"> GearBox Output speed:<sp count="2"/> </text> </region> <region region-id="1091" left="156" top="642" width="42" height="30" align-x="178.5" align-y="660" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="out">ω</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="l">ω</ml:id> <ml:id xml:space="preserve">N</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="22"/> </region> <region region-id="1093" left="336" top="651" width="71.25" height="15" align-x="357.75" align-y="660" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="out">ω</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">rpm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>11.493093424367554</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="revolutions_per_minute"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="23"/> </region> <region region-id="916" left="6" top="698.25" width="133.5" height="12" align-x="6" 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"> 1/4 Turn Valve Rotation Time : </text> </region> <region region-id="917" left="174" top="692.25" width="129" height="30" align-x="213.75" align-y="708" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">RotTime</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve" subscript="out">ω</ml:id> </ml:apply> <ml:real>60</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">sec</ml:id> <ml:id xml:space="preserve">min</ml:id> </ml:apply> </ml:apply> <ml:real>.25</ml:real> </ml:apply> <ml:id xml:space="preserve">rev</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="24"/> </region> <region region-id="964" left="366" top="699" width="73.5" height="12.75" align-x="405" align-y="708" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">RotTime</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">sec</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.3051316513443745</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="second"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="1" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="25"/> </region> <region region-id="1120" left="12" top="752.25" width="90.75" height="12" align-x="12" align-y="762" 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"> Torque at the motor: </text> </region> <region region-id="1121" left="174" top="744" width="60.75" height="32.25" align-x="204" 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 xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="motor">T</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="out">T</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">N</ml:id> <ml:id xml:space="preserve" subscript="g">η</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="26"/> </region> <region region-id="1122" left="342" top="753" width="82.5" height="15" align-x="371.25" align-y="762" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="motor">T</ml:id> <ml:unitOverride> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">mN</ml:id> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>4.798565912851628</ml:real> </result> </ml:eval> </math> <rendering item-idref="27"/> </region> <region region-id="1111" left="12" top="800.25" width="145.5" height="12" align-x="12" align-y="810" 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"> <c val="#00f">required current for desired torque</c> </text> </region> <region region-id="1112" left="204" top="792" width="43.5" height="32.25" align-x="213" align-y="810" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">I</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="motor">T</ml:id> <ml:id xml:space="preserve" subscript="t">K</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="28"/> </region> <region region-id="1113" left="384" top="801" width="50.25" height="12.75" align-x="392.25" align-y="810" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:provenance expr-id="1"> <originRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="220472020" is-modified="false" region-id="0" href="C:\Jon_At_MBARI\MCadfile_14\motors.mcd" 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="1353900" is-modified="false" region-id="0" href="C:\Jon_At_MBARI\MCadfile_14\motors.mcd" 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">add56f4945a597cfb2ccd653a9112dea</contentHash> <ml:id xml:space="preserve">I</ml:id> </ml:provenance> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.58305782659193528</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="29"> <element-image-map> <box left="1.5" top="0.75" width="2.25" height="11.25" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="1117" left="12" top="842.25" width="120.75" height="12" align-x="12" align-y="852" 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"> <c val="#00f">total motor current at load:<sp count="2"/> </c> </text> </region> <region region-id="1118" left="204" top="843" width="44.25" height="15" align-x="219" align-y="852" 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="220495652" is-modified="false" region-id="0" href="C:\Jon_At_MBARI\MCadfile_14\motors.mcd" 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="220472020" is-modified="false" region-id="0" href="C:\Jon_At_MBARI\MCadfile_14\motors.mcd" 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">e239ad0bf9631540e5a8872cdf9d4051</contentHash> <ml:define> <ml:id xml:space="preserve" subscript="m">I</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">I</ml:id> <ml:id xml:space="preserve" subscript="0">I</ml:id> </ml:apply> </ml:define> </ml:provenance> </math> <rendering item-idref="30"> <element-image-map> <box left="1.5" top="0.75" width="42.75" height="13.5" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="1119" left="384" top="843" width="56.25" height="15" align-x="398.25" align-y="852" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:provenance expr-id="1"> <originRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="220472020" is-modified="false" region-id="0" href="C:\Jon_At_MBARI\MCadfile_14\motors.mcd" 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="220495652" is-modified="false" region-id="0" href="C:\Jon_At_MBARI\MCadfile_14\motors.mcd" 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">29567d7bdb7f3adfa188505b5e0721e6</contentHash> <ml:id xml:space="preserve" subscript="m">I</ml:id> </ml:provenance> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.60415782659193529</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="31"> <element-image-map> <box left="1.5" top="0.75" width="8.25" height="13.5" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="1138" left="12" top="878.25" width="114" height="12" align-x="12" align-y="888" 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"> power dissipated by motor </text> </region> <region region-id="1140" left="48" top="908.25" width="145.5" height="12" align-x="48" align-y="918" 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"> Joule losses dissipated by motor </text> </region> <region region-id="1141" left="210" top="903" width="46.5" height="21" align-x="223.5" align-y="918" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="j">P</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="m">I</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve" subscript="a">R</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="32"/> </region> <region region-id="1149" left="360" top="909" width="60.75" height="15" align-x="372.75" align-y="918" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="j">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">watt</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.80301469475104015</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="33"/> </region> <region region-id="1146" left="48" top="938.25" width="156" height="12" align-x="48" align-y="948" 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"> Mech losses dissipated by motor </text> </region> <region region-id="1147" left="210" top="939" width="57" height="15" align-x="223.5" align-y="948" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="f">P</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="motor">T</ml:id> <ml:id xml:space="preserve" subscript="l">ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="34"/> </region> <region region-id="1151" left="360" top="945" width="60.75" height="15" align-x="372.75" align-y="954" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="f">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">watt</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.13687315739354</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="35"/> </region> <region region-id="1161" left="342" top="975" width="75.75" height="15" align-x="374.25" align-y="984" show-border="false" show-highlight="false" is-protected="true" z-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:id xml:space="preserve" subscript="j">P</ml:id> <ml:id xml:space="preserve" subscript="f">P</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">watt</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.9398878521445804</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="36"/> </region> <region region-id="1094" left="72" top="1008" width="306" height="4.5" align-x="72" align-y="1008" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="37" display-width="304.5" display-height="3"/> </picture> <rendering item-idref="38"/> </region> <region region-id="1095" left="12" top="1040.25" width="27" height="12" align-x="12" align-y="1050" 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"> REQ: </text> </region> 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