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Thread: Work problem

  1. March 1st 2010, 10:06 AM #1
    temaire
    temaire is offline
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    Work problem

    Find the work required to empty a tank in the shape of a hemisphere of radius R meters through an outlet at the top of the tank. The density of water is p kg/m^{3}; the acceleration of a free falling body is g. (Ignore the length of the outlet at the top.)


    w = \int_a^b (density)(gravity)(distance)(Area of slice)dx<br />

    w = \int_0^R (p)(g)(\pi(1 - x^{2}))(R - x)dx<br />

    Is this correct/complete?
    Last edited by temaire; March 1st 2010 at 01:53 PM.
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