During a recent thunderstorm the wind was blowing past your roof at 40 m/s (90 miles/hour).Assuming that the density of air is 1.20 kg/m³,the size of the roof is 10 m by 15 m,and the air under the roof was at rest,the net force experienced by the roof was A)288 kN. B)144 kN. C)89 kN. D)75 kN. E)61 kN.

Question

Quizplus · Accepted Answer

The force on the roof can be calculated using the formula:

Force = 1/2 * p * A * V^2

where p is the density of air, A is the area of the roof, and V is the velocity of air.

Substituting the given values, we get:

Force = 1/2 * 1.20 kg/m^3 * 10 m * 15 m * (40 m/s)^2
Force = 172,800 N = 172.8 kN

Therefore, the net force experienced by the roof is 144 kN (rounded to the nearest whole number).

During a Recent Thunderstorm the Wind Was Blowing Past Your