Volume Flow Rate

  1. 1. The problem statement, all variables and given/known data
    A pump at ground level creates a gauge pressure of 102 kPa in the water line supplying an apartment building. The water leaves the tank into a pipe at a negligible speed. It travels up 10 m through the building and exits through a faucet. The cross-sectional area of the faucet is 2.0 cm^2. What is the Volume Flow Rate of the water leaving the faucet in cm^3/s?


    2. Relevant equations

    Volume Flow Rate: Q=Av
    Bernoulli equation simplified: v = square root of: (Gauge Pressure - density of water*g*height)/(1/2 density)

    So put V into Q=Av and solve!?

    3. The attempt at a solution

    I found it to be: 8 cm^3/m

    Where am I going wrong?
     
  2. jcsd
  3. Doc Al

    Staff: Mentor

    You solved for the speed v (in m/s). You need the volume flow rate, which is Av.
     
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