A vertical plate is submerged in water as indicated in the figure.

 Find the hydrostatic force  on one end of the aquarium:

.

, where is the depth of the aquarium.

At any time, the plate is ft depth from the surface.

Thus, .

Strip area of one side of the plate is  , as depth increases then also increases.

Thus, consider width as .

Hydrostatic force as a Riemann sum  .

Set up the integral .

Weight density of the water .

.

 Hydrostatic force  on one end of the aquarium is .

 Hydrostatic force  on one end of the aquarium is .