7-35 A pump is used to fill a tank 5 m in diameter from a river as shown. The water surface in the river is 2 m below the bottom of the tank. The pipe diameter is 5 cm, and the head loss in the pipe is given by h₁ = 10 V²/2g, where Vis the mean velocity in the pipe. The flow in the pipe is turbulent, so a = 1. The head provided by the pump varies with discharge through the pump as hp = 20 – (4 × 104)Q², where the discharge is given in cubic meters per second (m³/s) and hp is in meters. How long will it take to fill the tank to a depth of 10 m? 5 m Pump 5 cm 2 m River

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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7-35 A pump is used to fill a tank 5 m in diameter from a river as shown. The water surface in the river is 2 m below the bottom of the tank. The pipe diameter is 5 cm, and
the head loss in the pipe is given by h7, = 10 V2/2g, where Vis the mean velocity in the pipe. The flow in the pipe is turbulent, so a = 1. The head provided by the pump
varies with discharge through the pump as h, = 20 - (4 x 104)Q2, where the discharge is given in cubic meters per second (m3/s) and h, is in meters. How long will it take
to fill the tank to a depth of 10 m?
5 m
Pump
5 cm
2 m I
River
Problem 7.35
Transcribed Image Text:7-35 A pump is used to fill a tank 5 m in diameter from a river as shown. The water surface in the river is 2 m below the bottom of the tank. The pipe diameter is 5 cm, and the head loss in the pipe is given by h7, = 10 V2/2g, where Vis the mean velocity in the pipe. The flow in the pipe is turbulent, so a = 1. The head provided by the pump varies with discharge through the pump as h, = 20 - (4 x 104)Q2, where the discharge is given in cubic meters per second (m3/s) and h, is in meters. How long will it take to fill the tank to a depth of 10 m? 5 m Pump 5 cm 2 m I River Problem 7.35
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