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Find an expression for the net force of water on a dam

  1. Oct 27, 2016 #1
    1. The problem statement, all variables and given/known data
    Find the net force of water on the dam The dam has a width of w and the water is at a depth of d. So my question is, would you have to integrate ρgwd with respect to d? because the pressure is constantly changing every value of d.

    2. Relevant equations
    ρgwd
    ρ is the density of water
    g is 9.81 meters per second
    w is width
    and d is the depth of the water

    3. The attempt at a solution
    I would think that integrating with respect to d would yield ρghd2*(1/2)
     
  2. jcsd
  3. Oct 27, 2016 #2

    gneill

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    Staff: Mentor

    Sounds reasonable. Try it and show your attempt.
     
  4. Oct 27, 2016 #3

    gneill

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    Staff: Mentor

    I see that you've edited in your attempt. Good.

    Where did the h come from? And what happened to the width?
     
  5. Oct 27, 2016 #4
    sorry that h is supposed to be a w, and its a simple integration so I think I got it
     
  6. Oct 27, 2016 #5

    gneill

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    Staff: Mentor

    Okay! And yes, you got it :smile:
     
  7. Oct 31, 2016 #6
    thanks for the help! nailed the test
     
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