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Hydrostatic Pressure

  1. Sep 30, 2009 #1
    1. The problem statement, all variables and given/known data
    A cylindrical tank, with base radius 9.4 meter, lies on its side and is partially filled with a liquid whose density is [tex]\sigma[/tex]=1260 kilograms per cubic meter. The liquid fills the tank to a maximum depth of 14 meters. Determine the amount of force (in Newtons) exerted on a flat side of the tank.


    2. Relevant equations

    F=[tex]\sigma[/tex]dA


    3. The attempt at a solution

    I need help setting it up.

    So far I have:

    F= int (from -9.4 to 9.4) (14-y) 2(88.36-y^2)^(1/2)

    Is that right? Or should be from 0 to 14?
     
    Last edited: Oct 1, 2009
  2. jcsd
  3. Sep 30, 2009 #2

    Dick

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    Homework Helper

    The pressure is a variable function of the depth. You have to integrate the pressure over the area of the end of the tank.
     
  4. Oct 1, 2009 #3
    You need to let the depth be a function of y. You might be able to use y-14, but you will definitely need a y somewhere (finding depth as a function of y can be tricky and was one of the hardest things for me for these kinds of pressure problems since there can be more than one way to set it up).
     
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