The 50 cm high cylinder is filled to the brim with water. A crane is mounted in the cylinder at a distance
The 50 cm high cylinder is filled to the brim with water. A crane is mounted in the cylinder at a distance of 20 cm from the bottom. Under what pressure water flows out of the tap.
h1 = 50 cm = 0.5 m.
h2 = 20 cm = 0.2 m.
g = 9.8 m / s ^ 2.
ρ = 1000 kg / m ^ 3.
R – ?
The hydrostatic pressure of the liquid is determined by the formula: P = ρ * g * h.
Where ρ is the density of the liquid, g is the acceleration of gravity, h is the height of the liquid.
Since the tap is located at a height h2 from the bottom, the height of the water h above the level of the tap will be determined by the formula: h = h1 – h2.
The formula for determining the pressure at the level of the tap will be: P = ρ * g * (h1 – h2).
P = 1000 kg / m ^ 3 * 9.8 m / s ^ 2 * (0.5 m – 0.2 m) = 2940 Pa.
According to Pascal’s law, pressure in a liquid is transmitted in all directions in the same way, so water from the tap will flow out at a pressure of P = 2940 Pa.
Answer: water from the tap will flow out under pressure P = 2940 Pa.