Question

What minimum gauge pressure is needed at the ground floor of an apartment building if water is to come out a faucet on an upper floor, 75 meters up?

Answer 1

Answer:

735750 Pa

Explanation:

$\rho$ = Density of water = 1000 kg/m³

g = Acceleration due to gravity = 9.81 m/s²

h = Height to which the water needs to be pumped = 75 m

Gauge pressure is given by

$P=\rho gh\\\Rightarrow P=1000\times 9.81\times 75\\\Rightarrow P=735750\ Pa$

The gauge pressure that is needed at the ground floor of an apartment building if water is pump out of a faucet on an upper floor is 735750 Pa