The roof of the house has the shape of a square with a side of 4 meters with what force the air presses
| March 19, 2021 | education
The roof of the house has the shape of a square with a side of 4 meters with what force the air presses on the roof at an atmospheric pressure of 770 millimeters of mercury.
Initial data: L (length of one side of the roof) = 4 m; h (atmospheric pressure, height of the mercury column) = 770 mm (0.77 m).
Constants: ρ (density of mercury) = 13600 kg / m3; g (acceleration due to gravity) = 9.81 m / s2.
1) Roof surface area: S = L ^ 2 = 4 ^ 2 = 16 m2.
2) The value of atmospheric air pressure on the roof: P = ρ * g * h = 13600 * 9.81 * 0.77 = 102,730.32 Pa.
3) The force of air pressure on the roof: F = P * S = 102730.32 * 16 ≈ 1.64 MN.
Answer: Air presses on the roof with a force of 1.64 MN.
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