Determine the depth of the metro station if the pressure on the earth’s surface

Determine the depth of the metro station if the pressure on the earth’s surface is p1 = 750 mm Hg. Art., and on the station platform p2 = 756 mm Hg. Art.

Data: P1 (ground pressure) = 750 mm Hg. Art. (in Pa P1 = 750 * 133.322 = 99991.5 Pa); P2 (pressure on the station platform) = 756 mm Hg. Art. (in Pa P2 = 756 * 133.322 = 100791.432 Pa).

Constants: ρv (air density at standard conditions) = 1.225 kg / m3; g (acceleration due to gravity) = 9.81 m / s2.

To determine the depth of the metro station, we will use the formula: ΔP = P2 – P1 = ρв * g * Δh, whence Δh = (P2 – P1) / (ρв * g).

Calculation: Δh = (100791.432 – 99991.51) / (1.225 * 9.81) = 66.57 m.