In an aquarium 30 cm long and 20 cm wide, water is poured up to a height of 25 cm. Determine the pressure

In an aquarium 30 cm long and 20 cm wide, water is poured up to a height of 25 cm. Determine the pressure and force of water pressure on the bottom of the aquarium. The density of water is considered equal to 1000 kg / cubic meter. meter.

l = 30 cm = 0.3 m.

a = 20 cm = 0.2 m.

h = 25 cm = 0.25 m.

ρ = 1000 kg / m3.

g = 10 m / s2.

P -?

F -?

Water at the bottom of the aquarium is affected by hydrostatic pressure P, the value of which is determined by the formula: P = ρ * g * h. Where ρ is the density of the fluid, g is the acceleration of gravity, h is the height of the fluid, in our case the depth.

P = 1000 kg / m * 10 m / s2 * 0.25 m = 2500 Pa.

Pressure P is the ratio of the force F to the area S on which this force acts: P = F / S.

F = P * S.

Force F acts on the area of ​​the bottom of the aquarium, which has a rectangular shape: S = l * a.

F = P * l * a.

F = 2500 Pa * 0.3 m * 0.2 m = 150 N.

Answer: the water pressure at the bottom is P = 2500 Pa, the water pressure at the bottom of the aquarium is F = 150 N.