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Water Flow

  1. Dec 4, 2008 #1
    1. The problem statement, all variables and given/known data
    A horizontal pipe 10.0cm in diameter has a smooth reduction to a pipe
    5.00cm in diameter. If the pressure of the water in the larger pipe is
    8.00x10^4Pa and the pressure in the smaller pipe is 6.00x10^4Pa, at
    what rate does water flow through the pipes?

    2. Relevant equations
    A = pie(r)^2
    Kinematics equation to find velocity
    A1V1 = A2V2

    3. The attempt at a solution
    I got areas first
    A = pie(5.00cm)^2 = 78.5cm^2
    A = pie(2.50cm)^2 = 19.6cm^2

    Then I found F using F=PA
    F = (8.00x10^4Pa)(78.5cm^2) = 6.28x10^6N
    F = (6.00x10^4Pa)(19.6cm^2) = 1.18x10^6N

    I'm not sure what kinematics equation to use to find velocity
    1. The problem statement, all variables and given/known data

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Dec 4, 2008 #2


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    Homework Helper

    Using Bernoulli's equation you can wright P1+1/2*p*V1^2 = P2 + 1/2*p*V2^2
    By using the equation A1V1 = A2V2 you can solve for V1 and V2
  4. Dec 4, 2008 #3
    I'll try it thanks
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