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Math Help - Calculate the work to pump water out of tank

  1. #1
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    Calculate the work to pump water out of tank

    An aquarium 2 m long, 1 m wide, and 1 m deep is full of water. Find the work needed
    to pump half the water out of the aquarium. (The density of water, p, is 1000 kg/m3,
    and acceleration due to gravity, g, is 9.8 m/s2.)

    So in order to truly understand how to do these kind of problems I decided to find different ways to solve this problem. Since you can integrate with respect to dx or dy, for dx i was wondering if you could integrate with respect to the 2m side like so

    *edit..ugh its not letting me post the pictures so i'll just give the link...http://img19.imageshack.us/img19/2024/boxid.gif



    \int(1+y)(1)pgdx from x=0 to x=1. But when i do, i get the wrong answer, 4900 J. The answer should be 2450 J =/
    Last edited by bfpri; February 17th 2010 at 04:54 PM. Reason: incomplete
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  2. #2
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    bump
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  3. #3
    MHF Contributor Calculus26's Avatar
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    you're pumpimg upward not sideways.

    so you're limits are 1/2 to 1

    The cross-sectional area is 2

    and the dist ance pumped is 1- y

    the Integrand is then 2(1-y) integrated from 1/2 to 1
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