A hurricane wind blows across a 6.00\ m\times15.0\ m flat roof at a speed

lilyta79jd

lilyta79jd

Answered question

2021-11-20

A hurricane wind blows across a 6.00 m×15.0 m flat roof at a speed of 130 km/h. a. Is the air pressure above the roof higher or lower than the pressure inside the house? Explain. b. What is the pressure difference? c. How much force is exerted on the roof? If the roof cannot withstand this much force, will it "blow in" or "blow out"?

Answer & Explanation

Robert Harris

Robert Harris

Beginner2021-11-21Added 23 answers

Given: A=615=90 m2, v=13010003600=36.11 ms,ρ=1.2 kgkm3
a) Air pressure is lower where the speed of air is larger, so the air pressure above the roof is lower then the air pressure inside the house
b) Difference in pressure can be calculated using Bernouli's equation:
p=pv22=1.236.1122=782 Pa
c) Force on the roof is: F=pA=78290=70412 N
If the force is too strong, the roof will blow out.
Result:
a) Air pressure above the roof is lower then the air pressure inside the house.
b) p=782 Pa
c) F=70412 N. The roof will blow out.

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