1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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!
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?