Question

Задача:определите высоту уровня воды в водонапорной башне, если манометр, установленный у ее основания, показывает давление 220 кПа

Answer 1

P=pgh,h=P/pg=220000/1000*10=22 м

Answer 2

Determining the Height of the Water Level in a Water Tower

To determine the height of the water level in a water tower based on the pressure reading from a manometer installed at its base, we need to use the principles of fluid mechanics and hydrostatic pressure.

The hydrostatic pressure in a fluid is given by the equation:

P = ρgh

Where: - P is the pressure exerted by the fluid, - ρ is the density of the fluid, - g is the acceleration due to gravity, and - h is the height of the fluid column.

In this case, the pressure reading from the manometer is 220 kPa. However, we need to convert this pressure to the SI unit of Pascal (Pa) before proceeding with the calculation.

Converting 220 kPa to Pa: 1 kPa = 1000 Pa Therefore, 220 kPa = 220,000 Pa.

Now, we need to find the density of the fluid in the water tower. The density of water is approximately 1000 kg/m³.

Using the equation P = ρgh, we can rearrange it to solve for h:

h = P / (ρg)

Substituting the known values: - P = 220,000 Pa - ρ = 1000 kg/m³ - g = 9.8 m/s² (acceleration due to gravity)

h = 220,000 / (1000 * 9.8) h ≈ 22.45 meters

Therefore, the height of the water level in the water tower is approximately 22.45 meters.

Please note that the above calculation assumes that the density of the fluid remains constant throughout the water tower and that there are no other factors affecting the pressure reading.