Question

An aircraft hangar is a semi-circular cylinder with a radius r=10 m and a length l=50 m. During a windstorm of speed u, what is the force exerted on the hangar door?

Answer 1

The force exerted on the hangar door during a windstorm can be calculated using the formula: Force = Pressure x Area. Let's calculate the force: Area = 2πrh + πr^2 = 1000π + 100π = 1100π. Force = Pressure x Area = (650 N/m^2)(1100π).

Step-by-step explanation:

The force exerted on the hangar door during a windstorm can be calculated using the formula:

Force = Pressure x Area

The pressure exerted by the wind is given by the force per unit area, which is 650 N/m^2. The area of the hangar door can be calculated as the circumference of the semi-circular cylinder multiplied by its width. The total force exerted on the hangar door can be found by multiplying the pressure by the area.

Let's calculate the force:

Area = 2πrh + πr^2

= 2π(10)(50) + π(10)^2

= 1000π + 100π

= 1100π

Force = Pressure x Area

= (650 N/m^2)(1100π)