PowerPoint Presentationmimoza.marmara.edu.tr/~cem/Calculus1/i3.pdf · ous function, the summation...
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Transcript of PowerPoint Presentationmimoza.marmara.edu.tr/~cem/Calculus1/i3.pdf · ous function, the summation...
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Modeling the plate in horizontal strips leads to an inconvenient integration, so we model vertical strips instead
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(b)
(c)
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The bucket has constant weight so the work done lifting it alone is W = F . d W = 5 . 20 = 100 ft.lb
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Pumping Liquids from Containers How much work does it take to pump all or part of the liquid from a container? To find out, we imagine lifting the liquid out one thin horizontal slab at a time and applying the Equation W=F.d to each slab. We then evaluate the integral this leads to as the slabs become thinner and more numerous.
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