- #1

chenying

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## Homework Statement

A swimming pool has the dimensions 24 m multiplied by 9.0 m multiplied by 2.5 m.

(a) When it is filled with water, what is the force (resulting from the water alone) on the bottom, on the short sides, and on the long sides?

## Homework Equations

F = P*A

P = rho * g * h

## The Attempt at a Solution

Ok, I have no idea what I am doing wrong, but I am trying to find the force of water on the short vertical side of the pool.

So, since pressure varies by height, I have to intergrate the pressure by height (h).

So P = [tex]\int\rho g dh[/tex]

and A = h*w where w = width of the pool

So F = [tex]\int\rho g dh h*w [/tex]

then you end up with [tex]\rho*w*g*(h^2)/2[/tex] from 0 to 9

and get 992250 Pa

I'm pretty sure what I did was correct, but I am not getting the right answer.

Can anyone help?