A cylindrical tank with a radius of 3ft is filled with water which has a weight density of 62.4 lb/ft^3. The water is to be pumped to a point 2ft above the top of the tank. (a) How much work is performed in pumping all the water from the tank? (B) How much work is performed in pumping 3ft of water from the tank? (C) At what point is 1/2 of the total work done?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A cylindrical tank with a radius of 3ft is filled with water which has a weight density of 62.4 lb/ft^3. The water is to be pumped to a point 2ft above the top of the tank.

(a) How much work is performed in pumping all the water from the tank?

(B) How much work is performed in pumping 3ft of water from the tank?

(C) At what point is 1/2 of the total work done?

Expert Solution
Step 1'

Radius= 3 feetVolume=πr2h=3.14x9x6=169.56 ft3Weight density of water=62.4 lb/feet3Weight of water=62.4x169.56=10580.544 lbs

work is performed in pumping all the water from the tank

Average height of the water raised=5 feet

Total work done=weight x height

                          =10580.544 x5

                          =52902.720 feet

 

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