- #1

Okazaki

- 56

- 0

## Homework Statement

A swimming pool has dimensions 25 m x 10 m x 3m (length x width x height.) When it is filled with water, what is the force on the bottom (F

_{b}) of the pool? On the long side (F

_{l})? On the short sides (F

_{w})? (note that integrals are required.) If you are concerned with whether or not the concrete walls and floor will collapse, is it appropriate to take the atmospheric pressure into account?

## Homework Equations

d = m/v

F = ρA

## The Attempt at a Solution

I'm having a lot of trouble setting up the integral. I legitimately am kind of lost on how to do it. Would you just do

F = ∫ ρA (from the top of the pool to the bottom). And would you use the density of the entire pool for ρ?