A pump is used to lift 11 CMH of water at 20°C from a nearby fresh water lake whose free surface is 2.5 meters below the pump centerline to an elevated water dam whose free surface is 10 meters above the pump centerline. The suction pipe and discharge pipe are DN 8 SCH 40 and DN 10 SCH 40, respectively. The suction pipe has a total length of 5.4 m, while the discharge pipe has a total length of 21 m. Assume Hazen-Williams coefficient of 140 for both suction and discharge pipes and ignore minor head losses. a. Draw a schematic of the problem. Clearly indicate the elevations with respect to the pump centerline. b. Calculate the total dynamic head of the pump in meters. c. Calculate the water power output of the pump in kW. d. Calculate the brake power input to the pump in kW, assuming a pump mechanical efficiency of 75%. e. Calculate the electrical power input to the pump in kW, assuming a motor efficiency of 90%.

A pump is used to lift 11 CMH of water at 20°C from a nearby fresh water lake whose free surface is 2.5 meters below the pump centerline to an elevated water dam whose free surface is 10 meters above the pump centerline. The suction pipe and discharge pipe are DN 8 SCH 40 and DN 10 SCH 40, respectively. The suction pipe has a total length of 5.4 m, while the discharge pipe has a total length of 21 m. Assume Hazen-Williams coefficient of 140 for both suction and discharge pipes and ignore minor head losses. a. Draw a schematic of the problem. Clearly indicate the elevations with respect to the pump centerline. b. Calculate the total dynamic head of the pump in meters. c. Calculate the water power output of the pump in kW. d. Calculate the brake power input to the pump in kW, assuming a pump mechanical efficiency of 75%. e. Calculate the electrical power input to the pump in kW, assuming a motor efficiency of 90%.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Applied Fluid Mechanics

A fluid is a substance that is continuously deformed by the application of shear stress. The rate of deformation of a fluid depends on its viscosity. The fluid tries to flow when it interacts with some other system.

Question

1. A pump is used to lift 11 CMH of water at 20°C from a nearby fresh water lake whose free surface is 2.5 meters below
the pump centerline to an elevated water dam whose free surface is 10 meters above the pump centerline. The suction
pipe and discharge pipe are DN 8 SCH 40 and DN 10 SCH 40, respectively. The suction pipe has a total length of 5.4
m, while the discharge pipe has a total length of 21 m. Assume Hazen-Williams coefficient of 140 for both suction and
discharge pipes and ignore minor head losses.
a. Draw a schematic of the problem. Clearly indicate the elevations with respect to the pump centerline.
b. Calculate the total dynamic head of the pump in meters.
c. Calculate the water power output of the pump in kW.
d. Calculate the brake power input to the pump in kW, assuming a pump mechanical efficiency of 75%.
e. Calculate the electrical power input to the pump in kW, assuming a motor efficiency of 90%.

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Step 3: b) Calculation of total dynamic head of the pump

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Step 4: c) Calculation of the water power output of the pump

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Step 5: d) Calculation of the brake power input to the pump

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Step 6: e) Calculation of the electrical power input to the pump

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