The rectangular cistern (storage tank for rainwater) shown has its top 15 ft below ground level. The cistern, currently full, is to be emptied for inspection by pumping its contents to ground level Assume that the water weighs 62.3 lb/ft³ Complete parts (a) through (d) below How much work does it take to empty the tank? (Round to the nearest integer as needed.) 0 15 25 11 ft 1 b. How long will it take a -hp pump, rated at 375 ft-lb/sec to pump the tank dry? Ground level 10 ft 20 ft minutes (Round to the nearest integer as needed) c. How long will it take the pump in part (b) to empty the tank halfway? (It will be less than half the time required to empty the tank completely.) minutes (Round to the nearest integer as needed)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The rectangular cistern (storage tank for rainwater) shown has its
top 15 ft below ground level. The cistern, currently full, is to be
emptied for inspection by pumping its contents to ground level
Assume that the water weighs 62.3 lb/ft³
Complete parts (a) through (d) below
How much work does it take to empty the tank?
(Round to the nearest integer as needed.)
0
15
25
11 ft
1
b. How long will it take a-hp pump, rated at 375 ft-lb/sec to pump the tank dry?
Ground level
10 ft
20 ft
minutes (Round to the nearest integer as needed)
c. How long will it take the pump in part (b) to empty the tank halfway? (It will be less than half the time required to empty the tank completely.)
minutes (Round to the nearest integer as needed.)
d. What are the answers to parts (a) through (c) in a location where water weighs 62.13 lb/ft³? Recall the pump is rated at 375 ft-lb/sec.
In a location where water weighs 62.13 lb/ft3, it would take
(Round to the nearest integer as needed.)
What are the answers to parts (a) through (c) in a location where water weighs 62.58 lb/ft? lb/ft? Recall the pump is rated at 375 ft-lb/sec.
In a location where water weighs 62.58 lb/ft3, it would take
(Round to the nearest integer as needed.)
of work to empty the tank. The pump can pump the tank dry in minutes. It will take the pumpminutes to empty the tank halfway
of work to empty the tank. The pump can pump the tank dry in minutes. It will take the pump minutes to empty the tank halfway.
Transcribed Image Text:The rectangular cistern (storage tank for rainwater) shown has its top 15 ft below ground level. The cistern, currently full, is to be emptied for inspection by pumping its contents to ground level Assume that the water weighs 62.3 lb/ft³ Complete parts (a) through (d) below How much work does it take to empty the tank? (Round to the nearest integer as needed.) 0 15 25 11 ft 1 b. How long will it take a-hp pump, rated at 375 ft-lb/sec to pump the tank dry? Ground level 10 ft 20 ft minutes (Round to the nearest integer as needed) c. How long will it take the pump in part (b) to empty the tank halfway? (It will be less than half the time required to empty the tank completely.) minutes (Round to the nearest integer as needed.) d. What are the answers to parts (a) through (c) in a location where water weighs 62.13 lb/ft³? Recall the pump is rated at 375 ft-lb/sec. In a location where water weighs 62.13 lb/ft3, it would take (Round to the nearest integer as needed.) What are the answers to parts (a) through (c) in a location where water weighs 62.58 lb/ft? lb/ft? Recall the pump is rated at 375 ft-lb/sec. In a location where water weighs 62.58 lb/ft3, it would take (Round to the nearest integer as needed.) of work to empty the tank. The pump can pump the tank dry in minutes. It will take the pumpminutes to empty the tank halfway of work to empty the tank. The pump can pump the tank dry in minutes. It will take the pump minutes to empty the tank halfway.
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