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Help needed: Hydrostatic pressure forces and torque

  1. Nov 9, 2009 #1
    1. The problem statement, all variables and given/known data

    Consider the dam in example 3. Suppose there is a rectangular gate near the top of the dam that can be used to release water. The gate is 4 m wide and 3 m tall and is hinged at its top edge so that it will close under its own weight. Determine the torque on the gate for rotation about its top edge when the water level is 8 m above its edge. see attachment for picture from example 3.
    2. Relevant equations

    Fℓ=(pgh)*(w dh)*(d-h)
    w=sh +b
    τ=∫[(pgh)*(sh +b)*(d-h)]dh-------going from 0 to d
    3. The attempt at a solution
    I'm having trouble getting started on this problem because i don't see how the gate fits into the picture. I'm not really understanding what they are asking. I would really appreciate any help at all... explanations of what I should do...
     

    Attached Files:

  2. jcsd
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