A wind with speed 40 m/s blows parallel to the roof of a house. The area of the roof is 250 m2. Assuming that the pressure inside the house is atmospheric pressure, the force exerted by the wind on the roof and the direction of the force will be ( air = 1.2 kg/m3)
- 2.4 105 N, upwards
- 2.4 105 N, downwards
- 4.8 105 N, downwards
- 4.8 105 N, upwards
Answer
(1) 2.4 105 N, upwards
Solution
By Bernoulli's principle, pressure above the roof (moving air) is less than the pressure inside (still air):
P = 12 v2 = 12 1.2 (40)2 = 960 Pa
F = P A = 960 250 = 2.4 105 N
Pressure inside is greater, the force on the roof acts upwards.
Answer: (1)