Water towers store water above the level of consumers for times of heavy use, eliminating the need for high-speed pumps. The height of the water above a user is 31.0 meter. What would be the gauge pressure of at this height

The gauge pressure at this height is 304.11 kPa

Explanation:

Height of water is 31.0 m

We know that gauge pressure is the pressure by which a given pressure exceeds the atmospheric pressure. Normally, the absolute pressure due to this height of water would have been the atmospheric pressure plus the gauge pressure due to this height of water. In the case, we only consider the gauge pressure due to the height of water, since the atmospheric pressure is considered the datum pressure.

Gauge pressure of water = ρgh

where ρ is the density of water = 1000 kg/m^3

g is the acceleration due to gravity = 9.81 m/s^2

h is the height = 31.0 m

Gauge pressure of the water = 1000 x 9.81 x 31 = 304110 Pa = 304.11 kPa

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