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Need help with fluids and pressure problem

  1. Apr 7, 2008 #1
    [SOLVED] need help with fluids and pressure problem

    1. The problem statement, all variables and given/known data
    The L-shaped tank shown below is filled with water and is open at the top.
    (a) If d = 4.0 m, what is the force on face A due to the water?
    N (up)

    (b) What is the force on face B due to the water?
    N (right)
    [​IMG]

    2. Relevant equations
    F=PA


    3. The attempt at a solution
    Fa=PaAa+Patmosphere
    Pa=pgHa
    Ha=2d
    Fa=pg2d^3+Patmosphere
    d=4
    I got 2.85x10^6N but that was wrong
    I was given this hint when i got it wrong:Can you find the pressure at a given depth? How is force related to pressure for a given horizontal surface area? On the vertical wall, how does pressure vary with depth along the wall? Do you see that you need to first consider a strip that has the wall's width but only a differential height dy? What is the force on the strip? Do you see that you next must integrate to find the force on the full wall (all the horizontal strips)?
    is this how it should be done:
    Fa=Integral(pgd^2 dy)+Patmosphere
     
    Last edited: Apr 7, 2008
  2. jcsd
  3. Apr 7, 2008 #2
    (a) If d = 4.0 m, what is the force on face A due to the water?
    N (up)
    i was not suppose to add the Patmosphere
    Fa=1.25E6N
     
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