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10.744l-5.012-6.6.913 8.93 4.328 6.006-.228-8.336z" class="sc-769b8e3a-0 cQecPf"></path><path d="M25.856 7.753L21.22 0l-4.636 7.753 4.636 5.789 4.636-5.79z" class="sc-769b8e3a-0 dkjILK"></path><path d="M36.223 21.694l6.12-6.702-8.986-1.918-4.328 6.006 7.194 2.614z" class="sc-769b8e3a-0 isCULA"></path><path d="M29.03 19.08l4.327-6.006.925-8.93-5.024 6.6-.229 8.336z" class="sc-769b8e3a-0 jRFdJj"></path><path d="M29.258 10.744l5.024-6.6-8.426 3.609-4.636 5.789 8.038-2.798z" class="sc-769b8e3a-0 eQOMZU"></path><path d="M34.236 25.69l8.107 2.707-6.12-6.703-7.194-2.614 5.207 6.61z" class="sc-769b8e3a-0 gyaiVl"></path><path d="M13.41 19.08l-7.194 2.614-6.12 6.703 8.107-2.706 5.206-6.611z" class="sc-769b8e3a-0 cYHDTA"></path><path d="M21.22 34.928v8.46l4.636-7.752.194-7.593-4.83 6.885z" class="sc-769b8e3a-0 kCxIqU"></path><path d="M34.237 25.69l-8.187 2.353 7.308 2.272 8.986-1.918-8.107-2.706z" class="sc-769b8e3a-0 fUFcRC"></path><path d="M25.855 35.636l8.416 3.608-.914-8.929-7.307-2.272-.195 7.593z" class="sc-769b8e3a-0 cYHDTA"></path><path d="M8.203 25.69L.096 28.398l8.986 1.907 7.308-2.261-8.187-2.352z" class="sc-769b8e3a-0 cbwiQK"></path><path d="M16.39 28.043l.194 7.593 4.636 7.753v-8.461l-4.83-6.885z" class="sc-769b8e3a-0 hZKnPh"></path><path d="M9.081 30.303l-.913 8.94 8.415-3.607-.194-7.593-7.308 2.26z" class="sc-769b8e3a-0 kCxIqU"></path><path d="M29.03 19.08l.228-8.336-8.038 2.798v8.107l7.81-2.57z" class="sc-769b8e3a-0 hoGXfN"></path><path d="M21.22 13.542l-8.04-2.798.229 8.336 7.81 2.569v-8.107z" class="sc-769b8e3a-0 hCcIpc"></path><path d="M16.39 28.043l4.83 6.885 4.83-6.885-4.83-6.394-4.83 6.394z" class="sc-769b8e3a-0 dkjILK"></path><path d="M21.22 21.649l4.83 6.394 8.187-2.352-5.207-6.611-7.81 2.569z" class="sc-769b8e3a-0 gSWKjc"></path><path d="M13.41 19.08l-5.207 6.61 8.187 2.353 4.83-6.394-7.81-2.57z" class="sc-769b8e3a-0 dRoNkL"></path></svg></a></h1></nav></header><main class="sc-21c13e9a-0 ehESuO sc-18f6fa98-0 kcjAnF"><div class="sc-949d8184-0 Lcrhk"><div class="sc-21c13e9a-0 iPvsaa"><section class="sc-2e09d03-0 sc-60c2f1c6-0 bLtigc ctlHaM"><nav class="sc-706e40f5-0 iSCidM"><a href="/examples" class="_3BQD whiteText breadcrumb sc-34cb55e4-2 sc-34cb55e4-3 chOWkv utXXw">All Examples<span class="sc-706e40f5-3 jwcvhg">›</span></a><a href="/examples/science-and-technology" class="_3BQD whiteText breadcrumb sc-34cb55e4-2 sc-34cb55e4-3 chOWkv utXXw"><span>Science & Technology</span><span class="sc-706e40f5-3 jwcvhg">›</span></a></nav><div class="sc-21c13e9a-0 iPvsaa sc-bbSZdi efdOGj"><button type="button" tabindex="0" responsive="1100" class="_3BQD whiteTextGreen4Bg browseExamplesMenu sc-34cb55e4-2 sc-34cb55e4-3 bqFFFJ hNUONi sc-de4567fe-4 eLxPDt"><svg class="sc-34cb55e4-1 hTeTJj _M7zD" viewBox="0 0 14 14"><path class="mainColor" d="M0 0h4v4H0zm5 0h4v4H5zm5 0h4v4h-4zM0 5h4v4H0zm5 0h4v4H5zm5 0h4v4h-4zM0 10h4v4H0zm5 0h4v4H5zm5 0h4v4h-4z" fill="#FFF" fill-rule="evenodd"></path></svg><span class="sc-de4567fe-2 kWAujz">Browse Examples</span><svg class="sc-de4567fe-0 gCFkwy" viewBox="0 0 24 24" fill="none"><path class="mainColor" d="M16.59 8.295L12 12.875l-4.59-4.58L6 9.705l6 6 6-6-1.41-1.41z" fill="#535353"></path></svg></button></div></section></div><div class="sc-21c13e9a-0 jirQKY sc-85947dda-0 iEmcnt"><section class="sc-2e09d03-0 bLtigc"><p class="sc-85947dda-2 juOUja">Examples for</p><h1 class="sc-fBWQRz cKEFFB">Engineering</h1><p class="sc-85947dda-1 dxogbB"><span>Engineering is a discipline that deals with the design, construction, analysis and maintenance of structures, machines and systems using scientific methods, mathematical knowledge and physical principles. Engineering encompasses many fields and disciplines, ranging from mechanical and structural to chemical and aerospace. Wolfram|Alpha allows you to explore various facets of engineering, including computing formulas and constants for electricity, materials science, aerodynamics and more.</span></p></section></div><section class="sc-2e09d03-0 bLtigc"><div class="sc-82667198-0 imxeeP"><div class="sc-hknOHE byzukG"><section class="sc-701146b4-4 dRAIxk"><a href="/examples/science-and-technology/engineering/aerospace-engineering" class="_3BQD greenTitleLeft examplesSectionTitleLink sc-34cb55e4-2 sc-34cb55e4-3 bsfHQf fLvDEP sc-701146b4-3 joDjlp"><span>Aerospace Engineering </span></a><p class="sc-21c13e9a-1 hPJICd sc-701146b4-5 iojobp"><span>Explore data about aircraft, rockets, satellites or space probes.</span></p><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Get information about a type of aircraft:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=F-14+Tomcat" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>F-14 Tomcat</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Look up a rocket property:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=Ariane+5+mass" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>Ariane 5 mass</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Find out where a specific satellite is right now:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=orbital+path+of+hubble+telescope" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>orbital path of hubble telescope</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Get information about probes of a specified type:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=Mars+missions" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>Mars missions</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><a href="/examples/science-and-technology/engineering/aerospace-engineering" class="_3BQD green3TextWhiteBg examplesSectionMoreButton sc-34cb55e4-2 sc-34cb55e4-3 jQnceT PwFeo">More examples</a></section><section class="sc-701146b4-4 dRAIxk"><a href="/examples/science-and-technology/engineering/electrical-engineering" class="_3BQD greenTitleLeft examplesSectionTitleLink sc-34cb55e4-2 sc-34cb55e4-3 bsfHQf fLvDEP sc-701146b4-3 joDjlp"><span>Electrical Engineering </span></a><p class="sc-21c13e9a-1 hPJICd sc-701146b4-5 iojobp"><span>Explore the applications of the electromagnetic force for various practical purposes.</span></p><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Compute characteristics of an AC signal:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=AC+source+110V" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>AC source 110V</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Compute characteristics of a motor:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=synchronous+motor+6+poles" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>synchronous motor 6 poles</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Explore properties of ideal waveguides:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=circular+waveguide" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>circular waveguide</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><a href="/examples/science-and-technology/engineering/electrical-engineering" class="_3BQD green3TextWhiteBg examplesSectionMoreButton sc-34cb55e4-2 sc-34cb55e4-3 jQnceT PwFeo">More examples</a></section><section class="sc-701146b4-4 dRAIxk"><a href="/examples/science-and-technology/engineering/civil-engineering" class="_3BQD greenTitleLeft examplesSectionTitleLink sc-34cb55e4-2 sc-34cb55e4-3 bsfHQf fLvDEP sc-701146b4-3 joDjlp"><span>Civil Engineering </span></a><p class="sc-21c13e9a-1 hPJICd sc-701146b4-5 iojobp"><span>Calculate the forces on structures, such as bridges and buildings, that we use every day.</span></p><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Compute the mandated ventilation rate:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=indoor+air+quality%2C+3+bedrooms%2C+1600+sq+ft" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>indoor air quality, 3 bedrooms, 1600 sq ft</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Compute the deflection of a beam under load:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=beam+deformation" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>beam deformation</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=UNSS21900+simple+support+beam+deflection+150+lbf" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>UNSS21900 simple support beam deflection 150 lbf</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Calculate the max allowable weight on a bridge:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=federal+bridge+gross+weight+regulation+formula" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>federal bridge gross weight regulation formula</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><a href="/examples/science-and-technology/engineering/civil-engineering" class="_3BQD green3TextWhiteBg examplesSectionMoreButton sc-34cb55e4-2 sc-34cb55e4-3 jQnceT PwFeo">More examples</a></section><section class="sc-701146b4-4 dRAIxk"><a href="/examples/science-and-technology/engineering/steam-tables" class="_3BQD greenTitleLeft examplesSectionTitleLink sc-34cb55e4-2 sc-34cb55e4-3 bsfHQf fLvDEP sc-701146b4-3 joDjlp"><span>Steam Tables </span></a><p class="sc-21c13e9a-1 hPJICd sc-701146b4-5 iojobp"><span>Compute the properties of steam, saturated steam and phase boundaries. </span></p><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Compute properties of steam at a given temperature:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=steam+135C" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>steam 135C</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Specify a temperature and pressure:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=steam+400F+60psi" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>steam 400F 60psi</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Compute properties of saturated steam:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=saturated+steam+20atm" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>saturated steam 20atm</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><a href="/examples/science-and-technology/engineering/steam-tables" class="_3BQD green3TextWhiteBg examplesSectionMoreButton sc-34cb55e4-2 sc-34cb55e4-3 jQnceT PwFeo">More examples</a></section></div><div class="sc-hknOHE byzukG"><section class="sc-701146b4-4 dRAIxk"><a href="/examples/science-and-technology/engineering/energy-data" class="_3BQD greenTitleLeft examplesSectionTitleLink sc-34cb55e4-2 sc-34cb55e4-3 bsfHQf fLvDEP sc-701146b4-3 joDjlp"><span>Energy Data </span></a><p class="sc-21c13e9a-1 hPJICd sc-701146b4-5 iojobp"><span>Look up data regarding the global energy industry, including production, consumption and prices.</span></p><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Get data on energy resources:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=China+energy+production" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>China energy production</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Compute the cost for a specified quantity of electricity:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=cost+of+300+kWh+of+electricity+in+Minnesota" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>cost of 300 kWh of electricity in Minnesota</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Get energy production data for a reactor:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=annual+energy+production+of+Diablo+Canyon+2" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>annual energy production of Diablo Canyon 2</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><a href="/examples/science-and-technology/engineering/energy-data" class="_3BQD green3TextWhiteBg examplesSectionMoreButton sc-34cb55e4-2 sc-34cb55e4-3 jQnceT PwFeo">More examples</a></section><section class="sc-701146b4-4 dRAIxk"><a href="/examples/science-and-technology/engineering/control-systems" class="_3BQD greenTitleLeft examplesSectionTitleLink sc-34cb55e4-2 sc-34cb55e4-3 bsfHQf fLvDEP sc-701146b4-3 joDjlp"><span>Control Systems </span></a><p class="sc-21c13e9a-1 hPJICd sc-701146b4-5 iojobp"><span>Compute, analyze and plot properties of models that represent the behavior of control systems.</span></p><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Analyze a transfer function model:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=transfer+function+%28s%5E2-3%29%2F%28-s%5E3-s%2B1%29" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>transfer function (s^2-3)/(-s^3-s+1)</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Analyze a state space model:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=state+%7B%7B0%2C1%2C0%7D%2C%7B0%2C0%2C1%7D%2C%7B1%2F5%2C-1%2C0%7D%7D%2C+input+%7B%7B0%7D%2C%7B0%7D%2C%7B1%7D%7D%2C+output+%7B%7B-3%2C0%2C1%7D%7D" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>state {{0,1,0},{0,0,1},{1/5,-1,0}}, input {{0},{0},{1}}, output {{-3,0,1}}</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Generate frequency response plots:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=Nyquist+plot+of+the+transfer+function+s%2F%28s-1%29%5E3" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>Nyquist plot of the transfer function s/(s-1)^3</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=Bode+plot+of+s%2F%281-s%29+sampling+period+.02" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>Bode plot of s/(1-s) sampling period .02</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><a href="/examples/science-and-technology/engineering/control-systems" class="_3BQD green3TextWhiteBg examplesSectionMoreButton sc-34cb55e4-2 sc-34cb55e4-3 jQnceT PwFeo">More examples</a></section><section class="sc-701146b4-4 dRAIxk"><a href="/examples/science-and-technology/engineering/fluid-mechanics" class="_3BQD greenTitleLeft examplesSectionTitleLink sc-34cb55e4-2 sc-34cb55e4-3 bsfHQf fLvDEP sc-701146b4-3 joDjlp"><span>Fluid Mechanics </span></a><p class="sc-21c13e9a-1 hPJICd sc-701146b4-5 iojobp"><span>Look up details and formulas of fluid mechanics, including pressure, buoyancy and fluid flow.</span></p><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Visualize a vortex field:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=vortex+potential" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>vortex potential</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Compute fluid flow around an object:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=flow+around+a+cylinder" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>flow around a cylinder</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Determine change in fluid speed from pressure change:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=velocity+of+water+hammer+with+pressure+difference+of+20+atm" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>velocity of water hammer with pressure difference of 20 atm</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Calculate barometric pressure:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=p0%3D1+bar%2C+height+%3D+3km" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>p0=1 bar, height = 3km</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=rho%3D1g%2Fcm%5E3%2C+h%3D3m%2C+atmospheric+pressure%3D1+bar%2C+p%3D%3F" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>rho=1g/cm^3, h=3m, atmospheric pressure=1 bar, p=?</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><a href="/examples/science-and-technology/engineering/fluid-mechanics" class="_3BQD green3TextWhiteBg examplesSectionMoreButton sc-34cb55e4-2 sc-34cb55e4-3 jQnceT PwFeo">More examples</a></section><section class="sc-701146b4-4 dRAIxk"><a href="/examples/science-and-technology/engineering/measurement-devices" class="_3BQD greenTitleLeft examplesSectionTitleLink sc-34cb55e4-2 sc-34cb55e4-3 bsfHQf fLvDEP sc-701146b4-3 joDjlp"><span>Measurement Devices </span></a><p class="sc-21c13e9a-1 hPJICd sc-701146b4-5 iojobp"><span>Look up information about measuring devices, including things like name, precision and range.</span></p><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Discover how to measure different physical properties:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=acceleration+measuring+devices" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>acceleration measuring devices</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Get information about a measurement instrument:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=crankshaft+position+sensor" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>crankshaft position sensor</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Uncover subtypes of general devices:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=instances+of+a+particle+detector" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>instances of a particle detector</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Discover what different devices measure:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=a+bubble+chamber+measures" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>a bubble chamber measures</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><a href="/examples/science-and-technology/engineering/measurement-devices" class="_3BQD green3TextWhiteBg examplesSectionMoreButton sc-34cb55e4-2 sc-34cb55e4-3 jQnceT PwFeo">More examples</a></section></div><div class="sc-hknOHE byzukG"><section class="sc-82667198-1 ewKREt"><section class="sc-21c13e9a-1 dsKfRP sc-82667198-2 hmcWrO"><h3 class="sc-82667198-3 huOSrP">RELATED EXAMPLES</h3><li class="sc-82667198-5 bQdCqL"><div class="sc-82667198-4 hDhBPP"></div><a href="/examples/science-and-technology/engineering/aerospace-engineering/aeronautics" class="_3BQD grey53Orange11Icon relatedLinksText sc-34cb55e4-2 sc-34cb55e4-3 djGlHz cxEbZs"><span class="sc-34cb55e4-0 jRRyYm">Aeronautics</span></a></li><li class="sc-82667198-5 bQdCqL"><div class="sc-82667198-4 hDhBPP"></div><a href="/examples/science-and-technology/materials" class="_3BQD grey53Orange11Icon relatedLinksText sc-34cb55e4-2 sc-34cb55e4-3 djGlHz cxEbZs"><span class="sc-34cb55e4-0 jRRyYm">Materials</span></a></li><li class="sc-82667198-5 bQdCqL"><div class="sc-82667198-4 hDhBPP"></div><a href="/examples/science-and-technology/physics" class="_3BQD grey53Orange11Icon relatedLinksText sc-34cb55e4-2 sc-34cb55e4-3 djGlHz cxEbZs"><span class="sc-34cb55e4-0 jRRyYm">Physics</span></a></li><li class="sc-82667198-5 bQdCqL"><div class="sc-82667198-4 hDhBPP"></div><a href="/examples/science-and-technology/weather-and-meteorology/atmospheric-thermodynamics/psychrometrics" class="_3BQD grey53Orange11Icon relatedLinksText sc-34cb55e4-2 sc-34cb55e4-3 djGlHz cxEbZs"><span class="sc-34cb55e4-0 jRRyYm">Psychrometrics</span></a></li><li class="sc-82667198-5 bQdCqL"><div class="sc-82667198-4 hDhBPP"></div><a href="/examples/science-and-technology/engineering/mechanical-engineering/refrigeration" class="_3BQD grey53Orange11Icon relatedLinksText sc-34cb55e4-2 sc-34cb55e4-3 djGlHz cxEbZs"><span class="sc-34cb55e4-0 jRRyYm">Refrigeration</span></a></li><li class="sc-82667198-5 bQdCqL"><div class="sc-82667198-4 hDhBPP"></div><a href="/examples/science-and-technology/technological-world/structures" class="_3BQD grey53Orange11Icon relatedLinksText sc-34cb55e4-2 sc-34cb55e4-3 djGlHz cxEbZs"><span class="sc-34cb55e4-0 jRRyYm">Structures</span></a></li></section><section class="sc-21c13e9a-1 dsKfRP sc-82667198-2 hmcWrO"><h3 class="sc-82667198-3 huOSrP">RELATED WOLFRAM RESOURCES</h3><li class="sc-82667198-5 bQdCqL"><div class="sc-82667198-4 hDhBPP"></div><a href="https://www.wolfram.com/language/core-areas/controls/" class="_3BQD grey53Orange11Icon relatedLinksText sc-34cb55e4-2 sc-34cb55e4-3 djGlHz cxEbZs"><span class="sc-34cb55e4-0 jRRyYm">Wolfram Control Systems</span></a></li><li class="sc-82667198-5 bQdCqL"><div class="sc-82667198-4 hDhBPP"></div><a href="https://www.wolfram.com/language/core-areas/fem/" class="_3BQD grey53Orange11Icon relatedLinksText sc-34cb55e4-2 sc-34cb55e4-3 djGlHz cxEbZs"><span class="sc-34cb55e4-0 jRRyYm">Wolfram FEM</span></a></li></section></section><section class="sc-701146b4-4 dRAIxk"><a href="/examples/science-and-technology/engineering/mechanical-engineering" class="_3BQD greenTitleLeft examplesSectionTitleLink sc-34cb55e4-2 sc-34cb55e4-3 bsfHQf fLvDEP sc-701146b4-3 joDjlp"><span>Mechanical Engineering </span></a><p class="sc-21c13e9a-1 hPJICd sc-701146b4-5 iojobp"><span>Look up information regarding mechanical engineering formulas and constants for topics including refrigeration and materials science.</span></p><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Compute the maximum force of a spring:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=spring+maximum+force" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>spring maximum force</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Do a cooling load computation:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=residential+cooling+load" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>residential cooling load</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Find the stress on a cylinder:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=diameter+5mm+and+force+2N%2C+what+is+the+mechanical+stress" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>diameter 5mm and force 2N, what is the mechanical stress</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><a href="/examples/science-and-technology/engineering/mechanical-engineering" class="_3BQD green3TextWhiteBg examplesSectionMoreButton sc-34cb55e4-2 sc-34cb55e4-3 jQnceT PwFeo">More examples</a></section><section class="sc-701146b4-4 dRAIxk"><a href="/examples/science-and-technology/engineering/sound-and-acoustics" class="_3BQD greenTitleLeft examplesSectionTitleLink sc-34cb55e4-2 sc-34cb55e4-3 bsfHQf fLvDEP sc-701146b4-3 joDjlp"><span>Sound & Acoustics </span></a><p class="sc-21c13e9a-1 hPJICd sc-701146b4-5 iojobp"><span>Explore the science and applications of sound and acoustics. See how waves interact with liquids, solids and gases.</span></p><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Compute a Doppler shift:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=Doppler+shift+300Hz%2C+75mph" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>Doppler shift 300Hz, 75mph</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Compute perceived loudness:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=perceived+loudness+110+Hz%2C+60+dB" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>perceived loudness 110 Hz, 60 dB</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><section class="sc-701146b4-7 fhCufM"><h4 class="sc-21c13e9a-1 dsKfRP sc-701146b4-5 sc-701146b4-6 iojobp fWMGjn"><span>Generate sound with a specified waveform:</span></h4><div class="sc-277fc206-3 bSFuWR"><a href="/input?i=play+1.5kHz+sawtooth" class="_3BQD greenExamplesInput examplesInput sc-34cb55e4-2 sc-34cb55e4-3 leoJfP grZPgt"><span>play 1.5kHz sawtooth</span><svg class="sc-277fc206-1 hTleuQ" viewBox="0 0 15 15"><path class="mainColor" d="M4 5h8v2H4V5zm0 4h8v2H4V9z" fill="#F96932"></path></svg></a></div></section><a href="/examples/science-and-technology/engineering/sound-and-acoustics" class="_3BQD green3TextWhiteBg examplesSectionMoreButton sc-34cb55e4-2 sc-34cb55e4-3 jQnceT PwFeo">More examples</a></section></div></div></section></div></main><footer class="sc-af3be09a-0 dNCRzZ"><ul class="sc-9bd020f4-0 leihla"><li class="sc-4fa8b0c-0 kpHoVy"><a href="/pro" 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