Calculate the force of air pressure on the surface of the table, the length of which is 9 meters

Calculate the force of air pressure on the surface of the table, the length of which is 9 meters, the width is 90 cm, if the atmospheric pressure is 760 mm Hg.

Data: L (table length) = 9 m; s (table width) = 90 cm (0.9 m); h (height of the mercury column) = 760 mm (0.76 m).

Reference values: ρ (density of mercury) = 13600 kg / m3; g (acceleration due to gravity) = 9.8 m / s2.

1) Table surface area: S = L * s = 9 * 0.9 = 8.1 m2.

2) Air pressure: P = ρ * g * h = 13600 * 9.8 * 760 = 101292.8 Pa.

3) The force of air pressure on the table top: F = P * S = 101292.8 * 8.1 = 820471.68 N ≈ 820.5 kN.

Answer: The force of pressure on the table surface is 820.5 kN.