The rectangular tank shown here, with its top at ground level, is used to catch runoff water. Assume that the water weighs 62.5 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? take to empty the 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 tank (to the nearest minute)? c. Show that the pump in part (b) will lower the water level 10 ft (halfway) during the first 53 minutes of pumping. d. What are the answers to parts (a) and (b) in a location where water weighs 62.36 lb/ft³? 62.62 lb/ft³? a. Set up an integral to find the work done. W= Ground 12 ft level o 20 17 ft
The rectangular tank shown here, with its top at ground level, is used to catch runoff water. Assume that the water weighs 62.5 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? take to empty the 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 tank (to the nearest minute)? c. Show that the pump in part (b) will lower the water level 10 ft (halfway) during the first 53 minutes of pumping. d. What are the answers to parts (a) and (b) in a location where water weighs 62.36 lb/ft³? 62.62 lb/ft³? a. Set up an integral to find the work done. W= Ground 12 ft level o 20 17 ft
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 57AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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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 62.5 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 10 ft (halfway) during the first 53 minutes of pumping.
d. What are the answers to parts (a) and (b) in a location where water weighs 62.36 lb/ft³? 62.62 lb/ft³?
a. Set up an integral to find the work done.
W =
Ground
level
12 ft
0
20
17 ft
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