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Initial Release:<tab/>September 11, 2001 Reference:<tab/>Snap loading of Marine cable systems <tab/> <tab/>John M. Niedzwecki, Sreekumar K. Thampi <tab/> <tab/>Applied Ocean Research, 1991, Vol. 12, No. 1 </text> </region> <region region-id="7" left="12" top="78.6" width="80.4" height="13.8" align-x="22.2" align-y="90" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="12"> <inlineAttr font-weight="normal" line-through="false">Line Properties</inlineAttr> </f> </text> </region> <region region-id="321" left="366" top="84.6" width="88.2" height="13.8" align-x="376.2" 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"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false">Wave Properties</inlineAttr> </f> </text> </region> <region region-id="320" left="30" top="99" width="84" height="16.2" align-x="79.8" 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<ml:id xml:space="preserve" subscript="d">C</ml:id> <ml:real>1.2</ml:real> </ml:define> </math> <rendering item-idref="22"/> </region> <region region-id="360" left="534" top="200.4" width="95.4" height="27" align-x="585" align-y="216" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="max">Velocity</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.78539816339744828</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="23"/> </region> <region region-id="286" left="42" top="225" width="81.6" height="16.2" align-x="87.6" align-y="234" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="wet">Weight</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="24"/> </region> <region region-id="287" left="162" top="225" width="57" height="12.6" align-x="192" align-y="234" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Height</ml:id> <ml:apply> <ml:mult/> <ml:real>36</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="292" left="252" top="226.2" width="100.2" height="21" align-x="300.6" align-y="240" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="anchor">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>452.38934211693015</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="2"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="26"/> </region> <region region-id="339" left="372" top="226.2" width="89.4" height="21" align-x="420.6" align-y="240" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="anchor">Area</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">ft</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>3.1415926535897922</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot" power-numerator="2"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="27"/> </region> <region region-id="319" left="12" top="261.6" width="136.2" height="31.8" align-x="61.2" align-y="282" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>2</ml:real> <ml:real>3</ml:real> </ml:apply> <ml:id xml:space="preserve">ρ</ml:id> </ml:apply> <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">Diameter</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:parens> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="28"/> </region> <region region-id="295" left="204" top="273" width="94.2" height="16.2" align-x="252.6" align-y="282" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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">slug</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4.1678462537624563</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="slug"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="29"/> </region> <region region-id="296" left="324" top="262.8" width="150" height="30.6" align-x="372" align-y="282" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="virtual">Mass</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="dry">Weight</ml:id> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="added">Mass</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="30"/> </region> <region region-id="297" left="510" top="273" width="97.8" height="16.2" align-x="557.4" align-y="282" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="virtual">Mass</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">slug</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>37.113653435623668</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="slug"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="31"/> </region> <region region-id="68" left="18" top="318.6" width="193.2" height="13.8" align-x="43.8" align-y="330" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false">Hydrodynamic Damping Coeffecient</inlineAttr> </f> </text> </region> <region region-id="307" left="234" top="314.4" width="147" height="27" align-x="247.2" 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:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">C</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:id xml:space="preserve">ω</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>3</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve">ρ</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="d">C</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="anchor">Area</ml:id> </ml:apply> <ml:id xml:space="preserve">Amplitude</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="32"/> </region> <region region-id="308" left="408" top="314.4" width="60.6" height="27" align-x="420.6" 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:id xml:space="preserve">C</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">slug</ml:id> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>8.2044217593749149</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="second" power-numerator="-1"/> <unitReference unit="slug"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="33"/> </region> <region region-id="237" left="18" top="360.6" width="115.8" height="13.8" align-x="39.6" align-y="372" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false">Calculations vs depth</inlineAttr> </f> </text> </region> <region region-id="255" left="30" top="381" width="31.8" height="12.6" align-x="43.8" align-y="390" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">N</ml:id> <ml:real>20</ml:real> </ml:define> </math> <rendering item-idref="34"/> </region> <region region-id="258" left="96" top="381" width="36.6" height="12.6" align-x="104.4" align-y="390" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">i</ml:id> <ml:range> <ml:real>0</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> <rendering item-idref="35"/> </region> <region region-id="259" left="180" top="374.4" width="127.8" height="27" align-x="208.8" align-y="390" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">depth</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:real>20</ml:real> <ml:id xml:space="preserve">m</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:mult/> <ml:real>200</ml:real> <ml:id xml:space="preserve">m</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>20</ml:real> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve">N</ml:id> </ml:apply> <ml:id xml:space="preserve">i</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="36"/> </region> <region region-id="304" left="330" top="376.8" width="52.8" height="30.6" align-x="348" align-y="396" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="c">K</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="line">EA</ml:id> <ml:id xml:space="preserve">depth</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="37"/> </region> <region region-id="305" left="420" top="380.4" width="75.6" height="50.4" align-x="433.8" align-y="396" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Λ</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ω</ml:id> <ml:apply> <ml:sqrt/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="c">K</ml:id> <ml:id xml:space="preserve" subscript="virtual">Mass</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="38"/> </region> <region region-id="306" left="546" top="380.4" width="93" height="32.4" align-x="557.4" align-y="396" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">ξ</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">C</ml:id> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:apply> <ml:sqrt/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="c">K</ml:id> <ml:id xml:space="preserve" subscript="virtual">Mass</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="39"/> </region> <region region-id="241" left="30" top="428.4" width="96" height="30.6" align-x="49.2" align-y="444" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="st">X</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="wet">Weight</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">depth</ml:id> <ml:id xml:space="preserve" subscript="line">EA</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="40"/> </region> <region region-id="312" left="168" top="435" width="168.6" height="49.8" align-x="192.6" 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="lt">eq9</ml:id> <ml:apply> <ml:vectorize/> <ml:apply> <ml:div/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">Λ</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">ξ</ml:id> </ml:apply> <ml:id xml:space="preserve">Λ</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">Λ</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">Λ</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">ξ</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">ξ</ml:id> </ml:apply> <ml:id xml:space="preserve">Λ</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="41"/> </region> <region region-id="313" left="372" top="442.2" width="120.6" height="37.2" align-x="444.6" align-y="468" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">displacementRatio</ml:id> <ml:apply> <ml:vectorize/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="st">X</ml:id> <ml:id xml:space="preserve">Amplitude</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="42"/> </region> <region region-id="314" left="528" top="448.2" width="96" height="37.2" align-x="547.2" align-y="474" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">test</ml:id> <ml:apply> <ml:vectorize/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="lt">eq9</ml:id> <ml:id xml:space="preserve">displacementRatio</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="43"/> </region> <region region-id="348" left="678" top="484.2" width="115.2" height="48.6" align-x="691.2" align-y="510" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">X</ml:id> <ml:apply> <ml:vectorize/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="0">X</ml:id> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">Λ</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">ξ</ml:id> </ml:apply> <ml:id xml:space="preserve">Λ</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> 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by: <tab/>Gene Massion Initial Release:<tab/>September 11, 2001 Reference:<tab/>Snap loading of Marine cable systems <tab/> <tab/>John M. 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</ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>64.026356627296735</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot" power-numerator="-3"/> <unitReference unit="pound"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="15"/> </region> <region region-id="331" left="684" top="137.4" width="114.6" height="45.6" align-x="721.8" align-y="168" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="7H375">E</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve" subscript="7H375">Elongation</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="line">Area</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="16"/> </region> <region region-id="332" left="840" top="152.4" width="100.2" height="31.8" align-x="877.2" align-y="168" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="7H375">E</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>4730368.9687795648</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="17"/> </region> <region region-id="283" left="18" top="174.6" width="96" height="13.8" align-x="31.2" align-y="186" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false">Anchor Properties</inlineAttr> </f> </text> </region> <region region-id="358" left="528" top="183" width="106.8" height="16.2" align-x="579.6" 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" subscript="max">Velocity</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">Amplitude</ml:id> <ml:id xml:space="preserve">ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="18"/> </region> <region region-id="284" left="42" top="201" width="85.2" height="16.2" align-x="86.4" align-y="210" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="dry">Weight</ml:id> <ml:apply> <ml:mult/> <ml:real>1060</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="19"/> </region> <region region-id="285" left="162" top="201" width="66.6" height="12.6" align-x="201.6" align-y="210" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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>24</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="20"/> </region> <region region-id="291" left="252" top="194.4" width="103.8" height="27" align-x="301.2" align-y="210" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="anchor">Area</ml:id> <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:apply> <ml:pow/> <ml:id xml:space="preserve">Diameter</ml:id> <ml:real font="0">2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="21"/> </region> <region region-id="322" left="402" top="201" width="38.4" height="16.2" align-x="420" align-y="210" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="d">C</ml:id> <ml:real>1.2</ml:real> </ml:define> </math> <rendering item-idref="22"/> </region> <region region-id="360" left="534" top="200.4" width="95.4" height="27" align-x="585" align-y="216" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="max">Velocity</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.78539816339744828</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="23"/> </region> <region region-id="286" left="42" top="225" width="81.6" height="16.2" align-x="87.6" align-y="234" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="wet">Weight</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="24"/> </region> <region region-id="287" left="162" top="225" width="57" height="12.6" align-x="192" align-y="234" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Height</ml:id> <ml:apply> <ml:mult/> <ml:real>36</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="292" left="252" top="226.2" width="100.2" height="21" align-x="300.6" align-y="240" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="anchor">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>452.38934211693015</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="2"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="26"/> </region> <region region-id="339" left="372" top="226.2" width="89.4" height="21" align-x="420.6" align-y="240" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="anchor">Area</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">ft</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>3.1415926535897922</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot" power-numerator="2"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="27"/> </region> <region region-id="319" left="12" top="261.6" width="136.2" height="31.8" align-x="61.2" align-y="282" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>2</ml:real> <ml:real>3</ml:real> </ml:apply> <ml:id xml:space="preserve">ρ</ml:id> </ml:apply> <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">Diameter</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:parens> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="28"/> </region> <region region-id="295" left="204" top="273" width="94.2" height="16.2" align-x="252.6" align-y="282" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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">slug</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4.1678462537624563</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="slug"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="29"/> </region> <region region-id="296" left="324" top="262.8" width="150" height="30.6" align-x="372" align-y="282" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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="virtual">Mass</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="dry">Weight</ml:id> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="added">Mass</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="30"/> </region> <region region-id="297" left="510" top="273" width="97.8" height="16.2" align-x="557.4" align-y="282" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="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="virtual">Mass</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">slug</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>37.113653435623668</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="slug"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="31"/> </region> <region region-id="68" left="18" top="318.6" width="193.2" height="13.8" align-x="43.8" align-y="330" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false">Hydrodynamic Damping Coeffecient</inlineAttr> </f> </text> </region> <region region-id="307" left="234" top="314.4" width="147" height="27" align-x="247.2" 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:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">C</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:id xml:space="preserve">ω</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>3</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve">ρ</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="d">C</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="anchor">Area</ml:id> </ml:apply> <ml:id xml:space="preserve">Amplitude</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="32"/> </region> <region region-id="308" left="408" top="314.4" width="60.6" height="27" align-x="420.6" 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:id xml:space="preserve">C</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">slug</ml:id> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>8.2044217593749149</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="second" power-numerator="-1"/> <unitReference unit="slug"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="33"/> </region> <region region-id="237" left="18" top="360.6" width="115.8" height="13.8" align-x="39.6" align-y="372" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false">Calculations vs depth</inlineAttr> </f> </text> </region> <region region-id="255" left="30" top="381" width="31.8" height="12.6" align-x="43.8" align-y="390" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">N</ml:id> <ml:real>20</ml:real> </ml:define> </math> <rendering item-idref="34"/> </region> <region region-id="258" left="96" top="381" width="36.6" height="12.6" align-x="104.4" align-y="390" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">i</ml:id> <ml:range> <ml:real>0</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:range> </ml:define> </math> <rendering item-idref="35"/> </region> <region region-id="259" left="180" top="374.4" width="127.8" height="27" align-x="208.8" align-y="390" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">depth</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:real>20</ml:real> <ml:id xml:space="preserve">m</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:mult/> <ml:real>200</ml:real> <ml:id xml:space="preserve">m</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>20</ml:real> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve">N</ml:id> </ml:apply> <ml:id xml:space="preserve">i</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="36"/> </region> <region region-id="304" left="330" top="376.8" width="52.8" height="30.6" align-x="348" align-y="396" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="c">K</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="line">EA</ml:id> <ml:id xml:space="preserve">depth</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="37"/> </region> <region region-id="305" left="420" top="380.4" width="75.6" height="50.4" align-x="433.8" align-y="396" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Λ</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ω</ml:id> <ml:apply> <ml:sqrt/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="c">K</ml:id> <ml:id xml:space="preserve" subscript="virtual">Mass</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="38"/> </region> <region region-id="306" left="546" top="380.4" width="93" height="32.4" align-x="557.4" align-y="396" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id 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