The rectangular cistern (storage tank for rainwater) shown has its top 4 m 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 9810 N/m³. Ground level 5m Complete parts (a) through (d) below. . How much work will it take the empty the cistern? Set up an integral to find the work done. 8 w = | 9810(35)y dy tow much work does it take to empty the tank? 8,240,400' joules (Round to the nearest integer as needed.) 1 o. How long will it take a --hp pump, rated at 350 joules/sec to pump the tank dry?

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Chapter10: Work, Energy And Machines
Section10.1: Work And Energy
Problem 7PP
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The rectangular cistern (storage tank for rainwater) shown has its
top 4 m 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 9810 N/m³.
Ground level
5m
Complete parts (a) through (d) below.
. How much work will it take the empty the cistern? Set up an integral to find the work done.
8
w = | 9810(35)y dy
tow much work does it take to empty the tank?
8,240,400' joules (Round to the nearest integer as needed.)
1
o. How long will it take a --hp pump, rated at 350 joules/sec to pump the tank dry?
Transcribed Image Text:The rectangular cistern (storage tank for rainwater) shown has its top 4 m 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 9810 N/m³. Ground level 5m Complete parts (a) through (d) below. . How much work will it take the empty the cistern? Set up an integral to find the work done. 8 w = | 9810(35)y dy tow much work does it take to empty the tank? 8,240,400' joules (Round to the nearest integer as needed.) 1 o. How long will it take a --hp pump, rated at 350 joules/sec to pump the tank dry?
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