three part question; pressure and flow rate

timer Asked: Aug 2nd, 2014

Question description

Water supplied to a house by a water main has a pressure of 3.5 × 105 N/m2 early on a summer day when neighborhood use is low. This pressure produces a flow of 21.5 L/min through a garden hose. Later in the day, pressure at the exit of the water main and entrance to the house drops, and a flow of only 8.6 L/min is obtained through the same hose.

P0 = 5.3 × 105 N/m2
P1 = 3.5 × 105 N/m2
Q0 = 195 L/min
Q1 = 21.5 L/min
Q2 = 8.6 L/min

Part (a) What pressure is now being supplied to the house, assuming resistance is constant, in Pa?

 Part (b) By what percent did the flow rate in the water main increase in order to cause this decrease in delivered pressure? The pressure at the entrance of the water main is 5.3 × 105 N/m2, and the original flow rate was 195 L/min.
 Part (c) How many more users are there in the afternoon, assuming each would consume 21.5 L/min in the morning and 8.6 L/min in the afternoon?

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