Water supplied to a house by a water main has apressure of 3.00×105 N/m2 early on a summer day whenneighborhood use is low. This pressure produces a flow of20.0 L/min through a garden hose. Later in the day, pressureat the exit of the water main and entrance to the house drops,and a flow of only 8.00 L/min is obtained through the samehose. (a) What pressure is now being supplied to the house,assuming resistance is constant? (b) By what factor did theflow rate in the water main increase in order to cause thisdecrease in delivered pressure? The pressure at the entranceof the water main is 5.00×105 N/m2 , and the original flowrate was 200 L/min. (c) How many more users are there,assuming each would consume 20.0 L/min in the morning?

University Physics Volume 1
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter14: Fluid Mechanics
Section: Chapter Questions
Problem 131CP: Water supplied to a house by a water main has a pressure of 3.00105N/m2 early on a summer day when...
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Water supplied to a house by a water main has a
pressure of 3.00×105 N/m2 early on a summer day when
neighborhood use is low. This pressure produces a flow of
20.0 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 8.00 L/min is obtained through the same
hose. (a) What pressure is now being supplied to the house,
assuming resistance is constant? (b) By what factor 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 5.00×105 N/m2 , and the original flow
rate was 200 L/min. (c) How many more users are there,
assuming each would consume 20.0 L/min in the morning?

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