A farmer is trying to pump water from a storage tank in the basement to the fauc

Question

A farmer is trying to pump water from a storage tank in the basement to the faucet in a bathroom tub on the ground floor. The bathroom tub is located a height of 3.00m above the tank in the basement. The exit nozzle of the faucet in the tub is circular, with a diameter of 1 inch. The pipe leading from the tank in the basement has a diameter of 2.10 in. The farmer wants the bathtub to fill at the rate of 38.0 gal/min.

At what speed must water leave the faucet to fill the tube at this rate? ______ m/s

How fast is water moving through the pipe in the basement? _______ m/s

Given the change in water speed and the change in height, what must be the pressure difference between the faucet and the tank in atmospheres? ______ atm

Explanation / Answer

so that velocity of water when it goes out from the tub. 38*231/(pi*1^2/4)=11176(in/min)=4.73(m/s). so that water go through the pipe at the basement. 4.73*1^2=v*2.1^2. so v=1.07(m/s)

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