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jack487
19.02.2020 •
Engineering
A rectangular swimming pool 50 ft long, 25 ft wide, and 10 ft deep is filled with water to a depth of 8 ft. Use an integral to find the work required to pump all the water out over the top. (Take as the density of water δ=62.4lb/ft3.)
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Ответ:
Explanation:
For this case since w ehave a rectangular pool we can find the volume as:
We can approximate the volume with the following formula:
The mass is defined![m= \rho V](/tpl/images/0516/0931/f05b8.png)
If we replace our approximation for the volume we got:
The work for this case is defined as:
Work= Density* Force * Distance
We know that the total height is 9 ft but we want to calculate the work until 8ft so then we can express the distance in terms of the heigth h like this![D= 9-h](/tpl/images/0516/0931/5a3c1.png)
And then the work can be founded like this:
And is we convert this into integrals using
our integral limits are 0 and 8 and then density for the water is a property
and we have this:
Ответ:
Yo, whats exactly ur question here?