What is the water pressure on the bottom of a rectangular aquarium 2 m long, 1 m wide, 50 cm deep
What is the water pressure on the bottom of a rectangular aquarium 2 m long, 1 m wide, 50 cm deep, filled to the brim with water?
To solve this problem, it is not necessary to determine the volume of water in a given aquarium, since the pressure does not depend on the volume, but depends solely on the depth of the aquarium.
We translate the depth into meters.
50 cm = 50/100 = 0.5 m.
As you know, the density of water is: p = 1000 kg / m3.
To determine the pressure at the bottom of the aquarium, we use the following formula:
P = p * g * h,
Where:
P is the pressure on the bottom of the aquarium;
p is the density of water;
g – gravity (constant number 9.8 m / s2);
h is the depth of the aquarium.
Substitute the known values into the formula:
P = 1000 * 9.8 * 0.5 = 9800 * 0.5 = 4900 Pa.
Answer: The pressure at the bottom of the aquarium is 4900 Pa.