A water tower is a familiar sight in many towns, as shown in the diagram below.

Question

A water tower is a familiar sight in many towns, as shown in the diagram below. The purpose of such a tower is to provide storage capacity and to provide storage capacity and to provide sufficient pressure in the pipes that deliver water to customers. The main water line enters a house on the ground floor. The line has a gauge pressure of 1.90 times 105 Pa. A faucet on the ground floor of house B (which is 7.30 m above the ground floor) is turned off. What is the gauge pressure at this faucet? How high could a faucet be before no water would flow from it. even if the faucet were open?

Explanation / Answer

Data: Gauge pressure of the line, P = 1.9 x 10^5 Pa Height of the faucet B from the ground floor, h = 7.3 m Solution: (a) Pressure due to 7.3 m of water, P' = h d g                                                            = 7.3 * 1000 * 9.8                                                            = 71540 Pa Gauge pressure of 2nd floor faucet = 1.9 x 10^5 - 71540                                                              = 118460 Pa Ans: Gauge pressure of 2nd floor faucet = 118460 Pa (b) Let h = Height of faucet from which no water can flow even if open 1.9 x 10^5 = h' * 1000 * 9.8 h' = 19.39 m Ans: Height of faucet from which no water can flow = 19.39 m

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