Metric Deep Set
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Metric Deep Set
calculus/physics question?
A rectangular swimming pool 50 ft. long, 20 ft wide, and 10 ft deep is filled with water to a depth of 9ft. Use an integral to find the work required to pump all the water out over the top.
The answer is 3088800 ft-lbs. I can't figure out how to get it!
Here's what I have so far:
Volume of slice = 1000 delta h
Work on slice = 1000 x 62.4 x d
62.4 is the density of water in british units (not metric)
what would 'd' be to get the correct answer??
i know after that i have to set up the integral to get total work and then solve..
dW = dF x d = [ 1000 ft² · (62.4 lbs/ft³) dx ] x
W = 62400 ∫ x dx ......... from 1 to 10 (the first slice moves 1 ft, the last slice moves 10 ft).
= 31200 x² from 1 to 10
= 31200 (10)² - 31200
= 3088800 ft lbsf
Answer: 3088800 ft lbsf
Metric Between The Bars (Elliott Smith cover) acoustic