The faucets on the second floor of a building are 5.20 m above street level. Wat

Question

The faucets on the second floor of a building are 5.20 m above street level. Water is supplied to the faucets by a water main (a large horizontal pipe) that is 2.10 m underground. If a faucet opening is 2.00 cm in diameter and can fill a 1.00-liter flask in 8.00 seconds, find:

a) the speed at which the water exists the faucet

b) the gauge pressure of the water in the “main”

c) the speed at which water exists a faucet on the first floor, 1.80 m above the ground

d) the speed at which water exits a faucet on the third floor, 8.60 m above the ground

Provide drawings and label height, velocity and pressure.

Explanation / Answer

a)

here, l=2.1 m and t=8 s

v=l/t=2.1 m / 8 s

=0.2625 m/s

b)

Gage pressure is the pressure relative to the atmospheric pressure. above or below is the pressure with respect to the atmospheric pressure

c)

l=1.8 m and t=8 s

v=1.8 m /8 s

=0.225 m/s

d)

l=8.6 m and t=8 s

v=8.6 m/8 s

=1.075 m/s

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