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Homework Help: Volume flow rate

  1. Nov 16, 2009 #1
    1. The problem statement, all variables and given/known data

    To better fight fires in your seaside community, the local fire brigade has asked you to set up a pump system to draw seawater from the ocean to the top of a steep cliff adjacent to the water where most of the homes are.

    1. If the cliff is 12.0 m high, and the pump is capable of producing a gauge pressure of 150 kPa, how much water (in L/s) can be pumped using a hose with a radius of 4.00 cm?

    A. Iv = 40.4 L/s
    B. Iv = 45.0 L/s
    C. Iv = 32.8 L/s
    D. Iv = 13.6 L/s

    2. How would the volume flow rate change if the diameter of the hose were doubled?

    A. Iv, new = ½ Iv, old
    B. Iv, new = Iv, old
    C. Iv, new = 2 Iv, old
    D. Iv, new = 4 Iv, old

    (Iv is volume flow rate)

    2. Relevant equations

    3. The attempt at a solution

    I know Iv=pi r^2, what else?
    I also know 2nd question will be equal but just want to make sure.
  2. jcsd
  3. Nov 17, 2009 #2
    Volume Flow Rate: Iv=Av
    Bernoulli equation simplified: v = square root of: (Gauge Pressure - density of water*g*height)/(1/2 density)
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