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A house with its own well has a pump in the basement with an output pipe of inner radius 6.4 mm. Assume that the pump can maintain a gauge pressure of 420 kPa in the output pipe. A showerhead on the second floor (7.5 m above the pump's output pipe) has 38 holes, each of radius 0.34 mm. The shower is on "full blast" and no other faucet in the house is open.

(a) Ignoring viscosity, with what speed does water leave the showerhead?
m/s

(b) With what speed does water move through the output pipe of the pump?
m/s


I can not even guess how to start this :/. Please help. Thank you.

  • physics -

    (a) Use the Bernoulli equation, with elevation change, with the assumption that the gauge pressure in the shower holes is zero.

    (b) Knowing the flow velocity in the shower holes from (a), and the total area of all shower holes, use the staedy state continuity equation.

    If you are not familiar with the Bernoulli and continuity equations, you need to review your text materials, or do some Googling.

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