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Pressure of a Tank hatch

  1. Nov 12, 2009 #1
    Force of a Tank Hatch in terms of Pressure

    1. The problem statement, all variables and given/known data

    The tank shown in the figure below is filled with water to a depth of H1 = 1.88 m.
    http://educog.com/res/brookscole/serway/Physics_for_Scientists_and_Engineers_6ed/Chap14/graphics/serb1514.gif
    At the bottom of one of the side walls is a rectangular hatch H2 = 1.15 m high and W = 1.90 m wide. The hatch is hinged at its top. Determine the magnitude of the force that the water exerts on the hatch.

    2. Relevant equations
    F=[tex]\int^{H1-H2}_{0} W\rho g(H1-y)dy[/tex]

    3. The attempt at a solution
    The equation above is what my professor gave us in class to use for this problem.
    For the solved integral, I got:
    W[tex]\rho[/tex]g[H1y-y2/2]
    After putting in all the numbers, I don't get the right answer. Is my solved integral wrong? Or did my professor give us the wrong integral?
     
    Last edited by a moderator: Apr 24, 2017
  2. jcsd
  3. Nov 12, 2009 #2

    mgb_phys

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    Science Advisor
    Homework Helper

    Before you do the maths, think about the answer.
    Specifically think about what a integral means in this case.

    (hint - 'average' pressure on the hatch?)
     
  4. Nov 12, 2009 #3
    Re: Force of a Tank Hatch in terms of Pressure

    EDIT: Nevermind, I figured it out.
     
    Last edited: Nov 12, 2009
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