A water tower is a familiar sight in many towns. The purpose of such a tower is

Question

A water tower is a familiar sight in many towns. The purpose of such a tower is to provide storage capacity and to provide sufficient pressure in the pipes that deliver the water to customers. The drawing shows a spherical reservoir that contains 7.20 x 105 kg of water when full. The reservoir is vented to the atmosphere at the top. For a full reservoir, find the gauge pressure that the water has at the faucet in (a) house A and (b) house B. Ignore the diameter of the delivery pipes.

A water tower is a familiar sight in many towns. The purpose of such a tower is to provide storage capacity and to provide sufficient pressure in the pipes that deliver the water to customers. The drawing shows a spherical reservoir that contains 7.20 x 105 kg of water when full. The reservoir is vented to the atmosphere at the top. For a full reservoir, find the gauge pressure that the water has at the faucet in (a) house A and (b) house B. Ignore the diameter of the delivery pipes

Explanation / Answer

M = 7.20e5 Kg

==> V = 720 m^3

V = 4/3 pi r^3
==> 720 = 4/3 * 3.1416 * r^3
==> r = 5.5601 m

At house A:

h = 15 + 5.5601 = 20.5601 m
P = denisty g h = 1000 * 9.8 * 20.5601 = 201500 Pa = 2.02 x 10^5 Pa

At house A:h = 15 + 5.5601 - 7.30 = 13.2601 m
P = denisty g h = 1000 * 9.8 * 13.2601 = 1.30 x 10^5 Pa

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