The height of the tank of the water tower is 50 m. What is the pressure in the water valve on the last floor
The height of the tank of the water tower is 50 m. What is the pressure in the water valve on the last floor of a five-story building, if the height of one floor is taken equal to 3.5 m?
1. Find the height of the water rise on the 5th floor:
h = n * he = 5 * 3.5 = 17.5 m
where n is the number of floors.
he – floor height.
2. Pressure at ground level created by the water tower according to Pascal’s law:
P = ρ * g * H, where ρ is the density of water ρ = 1000 kg / m3, g is the free fall acceleration of a body raised above the Earth g = 9.8 m / s2, H is the height of the water tower.
3. The pressure at the level of the 5th floor of the house is equal to the pressure at the same height mark on the tower, according to the law of communicating vessels:
The water level on the 5th floor relative to the tower level is:
h = H-he
P5et = ρ * g * (H-he)
Substituting the numerical values, we have:
P5et = 1000 * 9.8 * (50-17.5) = 318500 Pa
Answer: The water pressure on the 5th floor is 318500 Pa