What is the pressure and total force at the bottom of a swimming pool
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What is the pressure and total force at the bottom of a swimming pool

[From: ] [author: ] [Date: 12-01-01] [Hit: ]
So you dont need the full dimensions of the pool, just the depth of the water.......
I really don't know how I could compute for the said quantities because the dimension of the pool was not given..
please help.. ^^ is it possible for me to compute the pressure and total force at the bottom of a pool without knowing it's dimensions?

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you need dimensions to compute the numerical value of the force on the bottom of the pool

the force = pressure x area

the pressure on the bottom = rho(water) x g x h

rho(water) = the density of water = 1000kg/m^3
g = 9.8m/s/s
h = depth of the water

area = length x width

so the force on the bottom is

F = rho(water) x g x h x length x width = rho(water) x g x volume water

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The pressure depends just on the depth.

The total force depends on the area also.
You could guess say 3m for the depth, and look up the size of say an Olympic standard pool.

The total force strictly speaking would include atmospheric pressure, equivalent to 10m of water, but is not normally considered since it presses on the entire earth's surface and is not a differential force requiring extra support when designing pools or other structures.

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Only the depth of the water matters in determining the pressure at the bottom of the swimming pool. So you don't need the full dimensions of the pool, just the depth of the water.
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