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Homework Help: Proving A Hydraulics Equation

  1. Sep 23, 2008 #1
    Prove that the resultant force F on a plane surface of area A immersed vertically in a liquid of density (rho) is given by the equation:
    F=rho.g.A.z
    Where 'z' is the depth to the centroid of the plane area below the liquid surface level.


    I under stand how F is found using this equation and how the force changes depending on the z value. But I don't know how to put this answer in a suitable way for my assignment.

    Thanks
     
  2. jcsd
  3. Sep 23, 2008 #2
    The pressure is given by [tex]p= \rho g \Delta h [/tex]. The force F is given by [tex]F = pA [/tex]. It's that easy!
     
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