If wind blows at 26 m/s over a house, what is the net force on the roof if its area is 241 m2 and is flat?
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To calculate the net force on the roof, we need to use the formula for the force exerted by the wind on an object. This formula is given by:
Force = (1/2) * ρ * A * v^2 * Cd
Where:
- ρ (rho) is the density of air
- A is the area of the surface facing the wind
- v is the velocity of the wind
- Cd is the drag coefficient of the object
In this case, since the roof is flat, we can assume a drag coefficient of 1. The density of air at sea level is approximately 1.225 kg/m^3. Plugging in the given values:
Force = (1/2) * 1.225 kg/m^3 * 241 m^2 * (26 m/s)^2 * 1
Calculating this expression will give us the net force exerted by the wind on the roof. Let's do the math:
Force = 0.5 * 1.225 kg/m^3 * 241 m^2 * (26 m/s)^2 * 1
≈ 7,067.89 N
Therefore, the net force on the roof is approximately 7,067.89 Newtons.