The construction of a flat rectangular roof (5.0 m × 6.7 m) allows it to withstand...
The construction of a flat rectangular roof (5.0 m × 6.7 m) allows it to withstand a maximum wind speed of 48 m/s. What is the net outward force on the roof at this speed?
density of air: 1.29 kg/m^3
Homework Answers
From Bernoulli's equation, ΔP = 1/2 ρV2
ΔP = (0.5) x (1.29 kg/m3) x (48 m/s)2
ΔP = 1486.08 N/m2
Area of the roof, A = 5 m x 6.7 m = 33.5 m2
Therefore, Net force is given by:
Fnet = ΔP * A
Fnet = (1486.08 N/m2) x (33.5 m2)
Fnet = 49783.68 N
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