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A pump delivers water from a lake into a 6 ft diameter by 10 foot tall sealed pressurized tank through 4 inch pipes using a 4.0 horsepower pump with an efficiency of 62%. If the head loss through the system is 6.42 ft, determine the delivery rate (m3/s) of water to the tank, for the tank level and pump pressure shown in the drawing.

A pump delivers water from a lake into a 6 ft diameter by 10 foot tall sealed pressurized tank through 4 inch pipes using a 4.0 horsepower pump with an efficiency of 62%. If the head loss through the system is 6.42 ft, determine the delivery rate (m3/s) of water to the tank, for the tank level and pump pressure shown in the drawing.

Elements Of Electromagnetics
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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### Water Pump System Analysis **Diagram Description:** The diagram illustrates a water pumping system from a lake to a pressurized tank. Key features and dimensions include: - **Water Source:** The water level in the lake is initially indicated at 7.47 ft below a reference level. - **Piping:** Water is transported through 4-inch diameter pipes. - **Pump:** The system includes a pump capable of 4.0 horsepower with an efficiency of 62%. - **Elevation Changes:** - The vertical elevation from the lake water level to the pump inlet is 24.5 ft. - The elevation from the surface to the tank inlet is 4.32 ft. - **Tank:** The tank is 6 ft in diameter and 10 ft tall, sealed and pressurized. - **Pressure:** The air pressure inside the tank is maintained at 29.4 psig. - **Head Loss:** The system experiences a head loss of 6.42 ft. **Objective:** Determine the delivery rate of water (in cubic meters per second) to the tank, based on the specified tank level and pump pressure. This analysis involves calculating the work done by the pump against gravitational and system resistances, and applying fluid mechanics principles such as Bernoulli’s equation to find the flow rate.
Transcribed Image Text:### Water Pump System Analysis **Diagram Description:** The diagram illustrates a water pumping system from a lake to a pressurized tank. Key features and dimensions include: - **Water Source:** The water level in the lake is initially indicated at 7.47 ft below a reference level. - **Piping:** Water is transported through 4-inch diameter pipes. - **Pump:** The system includes a pump capable of 4.0 horsepower with an efficiency of 62%. - **Elevation Changes:** - The vertical elevation from the lake water level to the pump inlet is 24.5 ft. - The elevation from the surface to the tank inlet is 4.32 ft. - **Tank:** The tank is 6 ft in diameter and 10 ft tall, sealed and pressurized. - **Pressure:** The air pressure inside the tank is maintained at 29.4 psig. - **Head Loss:** The system experiences a head loss of 6.42 ft. **Objective:** Determine the delivery rate of water (in cubic meters per second) to the tank, based on the specified tank level and pump pressure. This analysis involves calculating the work done by the pump against gravitational and system resistances, and applying fluid mechanics principles such as Bernoulli’s equation to find the flow rate.
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