A fountain and a water tank will be powered by water from a nearby lake. The elevations and pipe connections are depicted in the diagram below. The fountain's jet water should reach a height of at least 2.5 m from the nozzle outlet. The tank, on the other hand, is elevated to allow gravity to distribute water. The table below contains the specifications for nozzles, suction and discharge pipes. What is the minimum power input to the pump in kW, assuming negligible minor head losses? Assume that the pump efficiency is 88 percent and the motor efficiency is 95 percent. The fountain's water is returned to the lake via a drainage system.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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A fountain and a water tank will be powered by water from a nearby lake. The elevations and pipe connections are depicted in the diagram below. The fountain's jet water should reach a height of at least 2.5 m from the nozzle outlet. The tank, on the other hand, is elevated to allow gravity to distribute water. The table below contains the specifications for nozzles, suction and discharge pipes. What is the minimum power input to the pump in kW, assuming negligible minor head losses? Assume that the pump efficiency is 88 percent and the motor efficiency is 95 percent. The fountain's water is returned to the lake via a drainage system.

Nozzle
0.25 in. (6.35 mm)
230 mm
Outlet Diameter
Height (H)
Suction Pipe
Polyvinyl chloride
0.0568
Material
Friction Factor
Diameter
2 in. (50.8 mm)
Length
7.5 m
Main Discharge Pipe
Steel
Material
Friction Factor
0.023
2 in. (50.8 mm)
10.5 m
Diameter
Length
Pipe Branch to Nozzle
Steel
Material
Friction Factor
0.023
Diameter
1 in. (25.4 mm)
Length
3 m
Pipe Branch to Tank
Steel
Material
Friction Factor
0.023
1 in. (25.4 mm)
9 m
Diameter
Length
Transcribed Image Text:Nozzle 0.25 in. (6.35 mm) 230 mm Outlet Diameter Height (H) Suction Pipe Polyvinyl chloride 0.0568 Material Friction Factor Diameter 2 in. (50.8 mm) Length 7.5 m Main Discharge Pipe Steel Material Friction Factor 0.023 2 in. (50.8 mm) 10.5 m Diameter Length Pipe Branch to Nozzle Steel Material Friction Factor 0.023 Diameter 1 in. (25.4 mm) Length 3 m Pipe Branch to Tank Steel Material Friction Factor 0.023 1 in. (25.4 mm) 9 m Diameter Length
VENT -
(GRAVITY TANK)
8 m
2.5 m
(NOZZLE)
H
PIPE BRANCH TO FOUNTAIN
10 m
(PUMP CENTERLINE)
(PUMP)
6 m
STRAINER
LAKE
MAIN DISCHARGE PIPE
PIPE BRANCH TO TANK
Transcribed Image Text:VENT - (GRAVITY TANK) 8 m 2.5 m (NOZZLE) H PIPE BRANCH TO FOUNTAIN 10 m (PUMP CENTERLINE) (PUMP) 6 m STRAINER LAKE MAIN DISCHARGE PIPE PIPE BRANCH TO TANK
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