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A bathtub spigot in a top floor apartment lies 20 m above street level, where water...

A bathtub spigot in a top floor apartment lies 20 m above street level, where water is pumped into the apartment building. The pipe that leads into the building has an inner radius of 0.57 cm , which tapers to 0.40 cm at the bathtub spigot opening. The speed of the water leaving the spigot is 12 m/s . (The density of water is 1000 kg/m 3 .) Assume the water flows without viscosity.
(a) What is the speed of the water through the pipe at street level?
(b) What (absolute) pressure must the pump provide the water at street level such that water flows out the top floor's bathroom spigot, again, at a speed of 12 m/s ? Atmospheric pressure is 1.013 × 10 5 Pa .
(c) At this flow rate, how long would it take to fill an 80 -gallon ( 0.30 m 3 ) bathtub?

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