<description/> <author>admin</author> <company/> <keywords/> <revisedBy>admin</revisedBy> </userData> <identityInfo> <revision>1</revision> <documentID>8E258965-2FF2-48C9-A3DF-0F9962E01A87</documentID> <versionID>BBA84350-F6AA-4B76-9C71-5F89C4C0C8A5</versionID> <parentVersionID>00000000-0000-0000-0000-000000000000</parentVersionID> <branchID>00000000-0000-0000-0000-000000000000</branchID> </identityInfo> </metadata> <settings> <presentation> <textRendering> <textStyles> <textStyle name="Normal"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 1"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" 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tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="24" font-weight="bold" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Subtitle" base-style="Title"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="18" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> </textStyles> </textRendering> <mathRendering equation-color="#000"> <operators multiplication="narrow-dot" derivative="derivative" literal-subscript="large" definition="colon-equal" global-definition="triple-equal" local-definition="left-arrow" equality="bold-equal" symbolic-evaluation="right-arrow"/> <mathStyles> <mathStyle name="Variables" font-family="Times New Roman" font-charset="0" font-size="10" 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fractional-unit-exponent="false"/> </results> </mathRendering> <pageModel show-page-frame="false" show-header-frame="false" show-footer-frame="false" header-footer-start-page="1" paper-code="9" orientation="portrait" print-single-page-width="false" page-width="595.2" page-height="841.8"> <margins left="86.4" right="86.4" top="86.4" bottom="86.4"/> <header use-full-page-width="false"/> <footer use-full-page-width="false"/> </pageModel> <colorModel background-color="#fff" default-highlight-color="#ffff80"/> <language math="en" UI="en"/> </presentation> <calculation> <builtInVariables array-origin="0" convergence-tolerance="0.001" constraint-tolerance="0.001" random-seed="1" prn-precision="4" prn-col-width="8"/> <calculationBehavior automatic-recalculation="true" matrix-strict-singularity-check="true" optimize-expressions="false" exact-boolean="false" strings-use-origin="false" zero-over-zero="0"> <compatibility multiple-assignment="MC11" local-assignment="MC11"/> </calculationBehavior> <units> <currentUnitSystem name="si" customized="false"/> </units> </calculation> <editor view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="cm"/> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="true" save-text-images="false" screen-dpi="120"/> <miscellaneous> <handbook handbook-region-tag-ub="199" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="122" left="6" top="9" width="379.2" height="205.2" align-x="6" align-y="18" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> p:=Sd*Xmax*f^2*pi*rho0/(r*sqrt(2)) where p=sound pressure in Pa, Sd=eqv. piston area in m2, Xmax=max peak excursion in m, f=frequency in Hz, rho0=1.2kg/m3, r=speaker-to-mic distance in m. The sound pressure p can be converted to sound pressure level <tab/>Lp=20*log10(p/pref) So with <tab/>Sd=5000 mm2 <tab/>Xmax=10 mm <tab/>f=30Hz <tab/>r=1 <tab/>p=0.05*0.01*30^2*3.14*1.2/(1*1.41)=1.2 Pa <tab/>Lp = 20*log10(1.2/0.00002)=95.56 dB </text> </region> <region region-id="121" left="6" top="243" width="43.8" height="12.6" align-x="19.8" align-y="252" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">D</ml:id> <ml:real>0.200</ml:real> </ml:define> </math> <rendering item-idref="1"/> </region> <region region-id="137" left="90" top="243" width="87.6" height="10.8" align-x="90" align-y="252" 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"> Piston Diameter in m </text> </region> <region region-id="14" left="6" top="261" width="34.2" height="12.6" align-x="17.4" align-y="270" 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:real>344</ml:real> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="136" left="90" top="261" width="83.4" height="10.8" align-x="90" align-y="270" 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"> Speed of sound m/s </text> </region> <region region-id="20" left="6" top="279" width="24" height="12.6" align-x="16.8" align-y="288" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">r</ml:id> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="134" left="90" top="279" width="147.6" height="10.8" align-x="90" align-y="288" 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"> Distance to measurement in meters </text> </region> <region region-id="32" left="6" top="297" width="58.8" height="12.6" align-x="34.8" align-y="306" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Xmax</ml:id> <ml:real>0.007</ml:real> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="133" left="90" top="297" width="119.4" height="10.8" align-x="90" align-y="306" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> one-way (+ or - not total) in m </text> </region> <region region-id="108" left="6" top="315" width="64.8" height="12.6" align-x="57.6" align-y="324" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">NumDrivers</ml:id> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="110" left="6" top="333" width="45" height="12.6" align-x="30.6" align-y="342" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">rho0</ml:id> <ml:real>1.2</ml:real> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="111" left="90" top="333" width="83.4" height="10.8" align-x="90" align-y="342" 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"> Air mass in Kg/m^3 </text> </region> <region region-id="128" left="6" top="351" width="63" height="12.6" align-x="29.4" align-y="360" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">pref</ml:id> <ml:real>0.00002</ml:real> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="132" left="90" top="351" width="124.2" height="10.8" align-x="90" align-y="360" 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"> reference pressure in Pascals </text> </region> <region region-id="112" left="6" top="369" width="27.6" height="12.6" align-x="15.6" align-y="378" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">r</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>1</ml:real> </result> </ml:eval> </math> <rendering item-idref="8"/> </region> <region region-id="113" left="90" top="369" width="97.2" height="10.8" align-x="90" align-y="378" 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"> Listening distance (1m) </text> </region> <region region-id="114" left="6" top="387" width="29.4" height="12.6" align-x="17.4" 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">f</ml:id> <ml:real>80</ml:real> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="116" left="90" top="387" width="40.2" height="10.8" align-x="90" align-y="396" 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"> frequency </text> </region> <region region-id="140" left="6" top="405" width="348.6" height="12.6" align-x="181.2" align-y="414" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:placeholder/> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="10"/> </region> <region region-id="117" left="6" top="423.6" width="60" height="31.8" align-x="24" 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">Sd</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">π</ml:id> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">D</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="152" left="138" top="435" width="51.6" height="12.6" align-x="154.8" 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:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Sd</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.031415926535897934</ml:real> </result> </ml:eval> </math> <rendering item-idref="12"/> </region> <region region-id="157" left="6" top="465" width="607.8" height="10.8" align-x="6" align-y="474" 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"> For now, ignore the Sd above since piston is not round.<sp count="2"/>Assume each PCB/piston is 100x550mm and there are 2 pistons in a Ripole config. </text> </region> <region region-id="160" left="6" top="483" width="321" height="10.8" align-x="6" align-y="492" 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"> This Sd is roughly equivalent to two Peerless 12" Woofers. </text> </region> <region region-id="158" left="6" top="507" width="76.8" height="12.6" align-x="24" align-y="516" 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">Sd</ml:id> <ml:apply> <ml:mult/> <ml:real>0.100</ml:real> <ml:real>0.550</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="159" left="102" top="507" width="64.8" height="12.6" align-x="153.6" align-y="516" 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">NumDrivers</ml:id> <ml:real>2</ml:real> </ml:define> </math> <rendering item-idref="14"/> </region> <region region-id="162" left="216" top="507" width="51.6" height="12.6" align-x="232.8" align-y="516" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Sd</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.055000000000000007</ml:real> </result> </ml:eval> </math> <rendering item-idref="15"/> </region> <region region-id="120" left="6" top="531" width="113.4" height="12.6" align-x="19.8" align-y="540" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">U</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">Sd</ml:id> <ml:id xml:space="preserve">Xmax</ml:id> </ml:apply> <ml:id xml:space="preserve">NumDrivers</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="16"/> </region> <region region-id="106" left="138" top="531" width="299.4" height="10.8" align-x="138" align-y="540" 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"> Volume flow in m^3/sec for Ripole (two Sd halves) with Xmax of +/- 7mm. </text> </region> <region region-id="141" left="6" top="561.6" width="73.8" height="33.6" align-x="22.2" align-y="582" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">ps</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">U</ml:id> <ml:id xml:space="preserve">rho0</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">f</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">r</ml:id> <ml:apply> <ml:sqrt/> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="17"/> </region> <region region-id="153" left="138" top="573" width="49.8" height="12.6" align-x="153" align-y="582" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">ps</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>4.1815466612247674</ml:real> </result> </ml:eval> </math> <rendering item-idref="18"/> </region> <region region-id="173" left="258" top="568.2" width="67.8" height="17.4" align-x="270.6" align-y="582" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">U</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.00077000000000000007</ml:real> </result> </ml:eval> </math> <rendering item-idref="19"/> </region> <region region-id="143" left="6" top="614.4" width="90" height="27" align-x="29.4" align-y="630" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">SPL</ml:id> <ml:apply> <ml:mult/> <ml:real>20</ml:real> <ml:apply> <ml:id xml:space="preserve">log</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ps</ml:id> <ml:id xml:space="preserve">pref</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="20"/> </region> <region region-id="154" left="138" top="621" width="66.6" height="12.6" align-x="160.2" align-y="630" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">SPL</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>106.40613903416045</ml:real> </result> </ml:eval> </math> <rendering item-idref="21"/> </region> <region region-id="150" left="204" top="621" width="12" height="10.8" align-x="204" align-y="630" 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"> dB </text> </region> <region region-id="189" left="6" top="681" width="91.2" height="30.6" align-x="27" 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">ps1</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">SPL</ml:id> <ml:real>20</ml:real> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve">pref</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="22"/> </region> <region region-id="190" left="132" top="699" width="54.6" height="12.6" align-x="151.8" 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">ps1</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>4.1815466612247683</ml:real> </result> </ml:eval> </math> <rendering item-idref="23"/> </region> <region region-id="199" left="6" top="715.2" width="67.2" height="45" align-x="24.6" align-y="744" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">U1</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">ps1</ml:id> <ml:id xml:space="preserve">r</ml:id> </ml:apply> <ml:apply> <ml:sqrt/> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">rho0</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">f</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="24"/> </region> <region region-id="192" left="114" top="730.2" width="72.6" height="17.4" align-x="131.4" align-y="744" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">U1</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.00077000000000000028</ml:real> </result> </ml:eval> </math> <rendering item-idref="25"/> </region> <region region-id="193" left="6" top="758.4" width="92.4" height="39" align-x="39.6" align-y="786" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Xmax1</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">U1</ml:id> <ml:id xml:space="preserve">Sd</ml:id> </ml:apply> <ml:id xml:space="preserve">NumDrivers</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="26"/> </region> <region region-id="194" left="156" top="772.2" width="80.4" height="17.4" align-x="188.4" align-y="786" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Xmax1</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.0070000000000000019</ml:real> </result> </ml:eval> </math> <rendering item-idref="27"/> </region> <region region-id="195" left="264" top="777" width="153" height="21.6" align-x="264" align-y="786" 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"> Xmax1 is the distance a piston SD is moving at a given SPL </text> </region> <region region-id="196" left="6" top="819" width="155.4" height="21.6" align-x="6" align-y="828" 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"> To do: Plot SPL vs. frequency for a given Sd </text> </region> </regions> <binaryContent> <item item-id="1">iVBORw0KGgoAAAANSUhEUgAAAEkAAAAVCAYAAAAKP8NQAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAFaSURBVFhH7ZbbEQMhCEWty4Ksx2ps ZoshvjaKASGTzSYfnBl/FsXLFU0cGCJmkgIzSYGZpMBMUtBNShCcA8eNkNq0H3BE/9Qhy8B1 UPOlfFQcdVKbEPJWg7EIf7+FFKZ9mwG8UQdEPzSeutF8KR8TF02q1MXZKB+zlLsoRRNFcBpS hIgCbf24BVI+Pq4zKZNC6Sa/CJnpopj1b3NE8Ot+1LcNVfNZtZRvE1ebRLbvN0GtfyJduZml M6R8m7japJbEgVceY+u8zZAq/dSk0gXz1bzDpL/opNr+Og0pLFdHyreJX/gmXUx/D6g3QtJQ 6ngxUsq3ietMqi4rrsjEx9eN+LWp+qRf2KwVPQm50FhzSPn4uGhS+1YKozvsq5TDeRaheI/O w0Rj0i3lY+LdpP5AMUP3WF/8F6AzDmk1qO/Xi5rnobG4yudrUHHUSQaNmaTATFJgJikwk0QA 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Mathcad Professional 14.1 <description/> <author>admin</author> <company/> <keywords/> <revisedBy>admin</revisedBy> </userData> <identityInfo> <revision>1</revision> <documentID>8E258965-2FF2-48C9-A3DF-0F9962E01A87</documentID> <versionID>BBA84350-F6AA-4B76-9C71-5F89C4C0C8A5</versionID> <parentVersionID>00000000-0000-0000-0000-000000000000</parentVersionID> <branchID>00000000-0000-0000-0000-000000000000</branchID> </identityInfo> </metadata> <settings> <presentation> <textRendering> <textStyles> <textStyle name="Normal"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 1"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> 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<units> <currentUnitSystem name="si" customized="false"/> </units> </calculation> <editor view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="cm"/> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="true" save-text-images="false" screen-dpi="120"/> <miscellaneous> <handbook handbook-region-tag-ub="199" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="122" left="6" top="9" width="379.2" height="205.2" align-x="6" align-y="18" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> p:=Sd*Xmax*f^2*pi*rho0/(r*sqrt(2)) where p=sound pressure in Pa, Sd=eqv. piston area in m2, Xmax=max peak excursion in m, f=frequency in Hz, rho0=1.2kg/m3, r=speaker-to-mic distance in m. The sound pressure p can be converted to sound pressure level <tab/>Lp=20*log10(p/pref) So with <tab/>Sd=5000 mm2 <tab/>Xmax=10 mm <tab/>f=30Hz <tab/>r=1 <tab/>p=0.05*0.01*30^2*3.14*1.2/(1*1.41)=1.2 Pa <tab/>Lp = 20*log10(1.2/0.00002)=95.56 dB </text> </region> <region region-id="121" left="6" top="243" width="43.8" height="12.6" align-x="19.8" align-y="252" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">D</ml:id> <ml:real>0.200</ml:real> </ml:define> </math> <rendering item-idref="1"/> </region> <region region-id="137" left="90" top="243" width="87.6" height="10.8" align-x="90" align-y="252" 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"> Piston Diameter in m </text> 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optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">r</ml:id> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="134" left="90" top="279" width="147.6" height="10.8" align-x="90" align-y="288" 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"> Distance to measurement in meters </text> </region> <region region-id="32" left="6" top="297" width="58.8" height="12.6" align-x="34.8" align-y="306" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Xmax</ml:id> <ml:real>0.007</ml:real> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="133" left="90" top="297" width="119.4" height="10.8" align-x="90" align-y="306" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> one-way (+ or - not total) in m </text> </region> <region region-id="108" left="6" top="315" width="64.8" height="12.6" align-x="57.6" align-y="324" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">NumDrivers</ml:id> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="110" left="6" top="333" width="45" height="12.6" align-x="30.6" align-y="342" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">rho0</ml:id> <ml:real>1.2</ml:real> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="111" left="90" top="333" width="83.4" height="10.8" align-x="90" align-y="342" 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"> Air mass in Kg/m^3 </text> </region> <region region-id="128" left="6" top="351" width="63" height="12.6" align-x="29.4" align-y="360" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">pref</ml:id> <ml:real>0.00002</ml:real> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="132" left="90" top="351" width="124.2" height="10.8" align-x="90" align-y="360" 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"> reference pressure in Pascals </text> </region> <region region-id="112" left="6" top="369" width="27.6" height="12.6" align-x="15.6" align-y="378" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">r</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>1</ml:real> </result> </ml:eval> </math> <rendering item-idref="8"/> </region> <region region-id="113" left="90" top="369" width="97.2" height="10.8" align-x="90" align-y="378" 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"> Listening distance (1m) </text> </region> <region region-id="114" left="6" top="387" width="29.4" height="12.6" align-x="17.4" 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">f</ml:id> <ml:real>80</ml:real> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="116" left="90" top="387" width="40.2" height="10.8" align-x="90" align-y="396" 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"> frequency </text> </region> <region region-id="140" left="6" top="405" width="348.6" height="12.6" align-x="181.2" align-y="414" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:apply> <ml:neg/> <ml:placeholder/> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </math> <rendering item-idref="10"/> </region> <region region-id="117" left="6" top="423.6" width="60" height="31.8" align-x="24" 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">Sd</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">π</ml:id> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">D</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="152" left="138" top="435" width="51.6" height="12.6" align-x="154.8" 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:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Sd</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.031415926535897934</ml:real> </result> </ml:eval> </math> <rendering item-idref="12"/> </region> <region region-id="157" left="6" top="465" width="607.8" height="10.8" align-x="6" align-y="474" 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"> For now, ignore the Sd above since piston is not round.<sp count="2"/>Assume each PCB/piston is 100x550mm and there are 2 pistons in a Ripole config. </text> </region> <region region-id="160" left="6" top="483" width="321" height="10.8" align-x="6" align-y="492" 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"> This Sd is roughly equivalent to two Peerless 12" Woofers. </text> </region> <region region-id="158" left="6" top="507" width="76.8" height="12.6" align-x="24" align-y="516" 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">Sd</ml:id> <ml:apply> <ml:mult/> <ml:real>0.100</ml:real> <ml:real>0.550</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="159" left="102" top="507" width="64.8" height="12.6" align-x="153.6" align-y="516" 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">NumDrivers</ml:id> <ml:real>2</ml:real> </ml:define> </math> <rendering item-idref="14"/> </region> <region region-id="162" left="216" top="507" width="51.6" height="12.6" align-x="232.8" align-y="516" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Sd</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.055000000000000007</ml:real> </result> </ml:eval> </math> <rendering item-idref="15"/> </region> <region region-id="120" left="6" top="531" width="113.4" height="12.6" align-x="19.8" align-y="540" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">U</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">Sd</ml:id> <ml:id xml:space="preserve">Xmax</ml:id> </ml:apply> <ml:id xml:space="preserve">NumDrivers</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="16"/> </region> <region region-id="106" left="138" top="531" width="299.4" height="10.8" align-x="138" align-y="540" 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"> Volume flow in m^3/sec for Ripole (two Sd halves) with Xmax of +/- 7mm. </text> </region> <region region-id="141" left="6" top="561.6" width="73.8" height="33.6" align-x="22.2" align-y="582" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">ps</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">U</ml:id> <ml:id xml:space="preserve">rho0</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">f</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">r</ml:id> <ml:apply> <ml:sqrt/> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="17"/> </region> <region region-id="153" left="138" top="573" width="49.8" height="12.6" align-x="153" align-y="582" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">ps</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>4.1815466612247674</ml:real> </result> </ml:eval> </math> <rendering item-idref="18"/> </region> <region region-id="173" left="258" top="568.2" width="67.8" height="17.4" align-x="270.6" align-y="582" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">U</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.00077000000000000007</ml:real> </result> </ml:eval> </math> <rendering item-idref="19"/> </region> <region region-id="143" left="6" top="614.4" width="90" height="27" align-x="29.4" align-y="630" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">SPL</ml:id> <ml:apply> <ml:mult/> <ml:real>20</ml:real> <ml:apply> <ml:id xml:space="preserve">log</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ps</ml:id> <ml:id xml:space="preserve">pref</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="20"/> </region> <region region-id="154" left="138" top="621" width="66.6" height="12.6" align-x="160.2" align-y="630" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">SPL</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>106.40613903416045</ml:real> </result> </ml:eval> </math> <rendering item-idref="21"/> </region> <region region-id="150" left="204" top="621" width="12" height="10.8" align-x="204" align-y="630" 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"> dB </text> </region> <region region-id="189" left="6" top="681" width="91.2" height="30.6" align-x="27" 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">ps1</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">SPL</ml:id> <ml:real>20</ml:real> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve">pref</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="22"/> </region> <region region-id="190" left="132" top="699" width="54.6" height="12.6" align-x="151.8" 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">ps1</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>4.1815466612247683</ml:real> </result> </ml:eval> </math> <rendering item-idref="23"/> </region> <region region-id="199" left="6" top="715.2" width="67.2" height="45" align-x="24.6" align-y="744" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">U1</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">ps1</ml:id> <ml:id xml:space="preserve">r</ml:id> </ml:apply> <ml:apply> <ml:sqrt/> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">rho0</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">f</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="24"/> </region> <region region-id="192" left="114" top="730.2" width="72.6" height="17.4" align-x="131.4" align-y="744" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">U1</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.00077000000000000028</ml:real> </result> </ml:eval> </math> <rendering item-idref="25"/> </region> <region region-id="193" left="6" top="758.4" width="92.4" height="39" align-x="39.6" align-y="786" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Xmax1</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">U1</ml:id> <ml:id xml:space="preserve">Sd</ml:id> </ml:apply> <ml:id xml:space="preserve">NumDrivers</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="26"/> </region> <region region-id="194" left="156" top="772.2" width="80.4" height="17.4" align-x="188.4" align-y="786" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Xmax1</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.0070000000000000019</ml:real> </result> </ml:eval> </math> <rendering item-idref="27"/> </region> <region region-id="195" left="264" top="777" width="153" height="21.6" align-x="264" align-y="786" 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"> Xmax1 is the distance a piston SD is moving at a given SPL </text> </region> <region region-id="196" left="6" top="819" width="155.4" height="21.6" align-x="6" align-y="828" 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"> To do: Plot SPL vs. frequency for a given Sd </text> </region> </regions> <binaryContent> <item item-id="1">iVBORw0KGgoAAAANSUhEUgAAAEkAAAAVCAYAAAAKP8NQAAAAAXNSR0IArs4c6QAAAARnQU1B AACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAFaSURBVFhH7ZbbEQMhCEWty4Ksx2ps ZoshvjaKASGTzSYfnBl/FsXLFU0cGCJmkgIzSYGZpMBMUtBNShCcA8eNkNq0H3BE/9Qhy8B1 UPOlfFQcdVKbEPJWg7EIf7+FFKZ9mwG8UQdEPzSeutF8KR8TF02q1MXZKB+zlLsoRRNFcBpS hIgCbf24BVI+Pq4zKZNC6Sa/CJnpopj1b3NE8Ot+1LcNVfNZtZRvE1ebRLbvN0GtfyJduZml M6R8m7japJbEgVceY+u8zZAq/dSk0gXz1bzDpL/opNr+Og0pLFdHyreJX/gmXUx/D6g3QtJQ 6ngxUsq3ietMqi4rrsjEx9eN+LWp+qRf2KwVPQm50FhzSPn4uGhS+1YKozvsq5TDeRaheI/O w0Rj0i3lY+LdpP5AMUP3WF/8F6AzDmk1qO/Xi5rnobG4yudrUHHUSQaNmaTATFJgJikwk0QA 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