Question

На первом этаже здания барометр показывает 760 мм.рт.ст. а на крыше -758 мм. рт.ст..Определите высоту здания если средняя плотность воздуха состовляет p=1.23 кг/м3

Answer 1

Изменение давление на 1 мм.рт.ст. соответствует примерно 12 м

Значит 760-758=2

2*12=24 м

Answer 2

Calculation of Building Height

To determine the height of the building, we can use the difference in atmospheric pressure between the ground floor and the roof. The difference in pressure is caused by the weight of the air column above each location. We can use the equation:

ΔP = ρgh

Where: - ΔP is the difference in pressure between the ground floor and the roof, - ρ is the average density of air, - g is the acceleration due to gravity, and - h is the height of the building.

Given that the barometer on the ground floor shows a pressure of 760 mmHg (millimeters of mercury) and the barometer on the roof shows a pressure of 758 mmHg, we can calculate the difference in pressure:

ΔP = 760 mmHg - 758 mmHg = 2 mmHg

The average density of air, ρ, is given as 1.23 kg/m³.

Now, we can rearrange the equation to solve for the height of the building, h:

h = ΔP / (ρg)

Substituting the values:

h = 2 mmHg / (1.23 kg/m³ * 9.8 m/s²)

Converting mmHg to Pascal (Pa) and simplifying:

h = 2 * 133.322 Pa / (1.23 kg/m³ * 9.8 m/s²)

h ≈ 224.6 meters

Therefore, the height of the building is approximately 224.6 meters.