The rectangular tank shown here, with its top at ground level, is used to catch runoff water. Assume that the water weighs 62.4 lb/ft³. a. How much work does it take to empty the tank by pumping the water back to ground level once the tank is full? b. If the water is pumped to ground level with a (4/11)-horsepower (hp) motor (work output 200 ft-lb/sec), how long will it take to empty the tank (to the nearest minute)? c. Show that the pump in part (b) will lower the water level 15 ft (halfway) during the first 158 minutes of pumping. d. What are the answers to parts (a) and (b) in a location where water weighs 62.18 lb/ft³? 62.62 lb/ft³? (-) Ground 15 f level o yo 30

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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The rectangular tank shown here, with its top at ground level, is used to catch runoff water. Assume
that the water weighs 62.4 lb/ft³.
a. How much work does it take to empty the tank by pumping the water back to ground level once
the tank is full?
b. If the water is pumped to ground level with a (4/11)-horsepower (hp) motor (work output 200
ft-lb/sec), how long will it take to empty the tank (to the nearest minute)?
c. Show that the pump in part (b) will lower the water level 15 ft (halfway) during the first 158
minutes of pumping.
d. What are the answers to parts (a) and (b) in a location where water weighs 62.18 lb/ft³?
62.62 lb/ft?
a. Set up an integral to find the work done.
W=
....
Ground
level
15 A
0
30
18 ft
Transcribed Image Text:← The rectangular tank shown here, with its top at ground level, is used to catch runoff water. Assume that the water weighs 62.4 lb/ft³. a. How much work does it take to empty the tank by pumping the water back to ground level once the tank is full? b. If the water is pumped to ground level with a (4/11)-horsepower (hp) motor (work output 200 ft-lb/sec), how long will it take to empty the tank (to the nearest minute)? c. Show that the pump in part (b) will lower the water level 15 ft (halfway) during the first 158 minutes of pumping. d. What are the answers to parts (a) and (b) in a location where water weighs 62.18 lb/ft³? 62.62 lb/ft? a. Set up an integral to find the work done. W= .... Ground level 15 A 0 30 18 ft
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