A cylinder 50 cm high is filled to the brim with water. At a distance of 20 cm from the bottom, a tap is installed
A cylinder 50 cm high is filled to the brim with water. At a distance of 20 cm from the bottom, a tap is installed in the cylinder. What is the pressure under which water flows out of the tap?
To find the pressure under which the water should flow out of the built-in tap, we will use the formula: P = ρw * g * Δh = ρw * g * (h1 – h2).
Variables and constants: ρw is the density of water in the cylinder (ρw = 1000 kg / m3); g – acceleration due to gravity (g ≈ 10 m / s2); h1 – cylinder height (h1 = 50 cm = 0.5 m); h2 – height of the mounted crane (h2 = 20 cm = 0.2 m).
Calculation: P = ρw * g * (h1 – h2) = 1000 * 10 * (0.5 – 0.2) = 3 * 103 Pa = 3 kPa.
Answer: Water should flow out of the built-in tap under a pressure of 3 kPa (the pressure will gradually decrease).