The construction of a flat rectangular roof (3.3 m x 4.4 m) allows it to wit

label Physics
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Apr 14th, 2015

According to Bernoulli's principle,  ρv2/2 + p = const, where ρ is the air density, v is the wind speed, and p is the air pressure. If p0 is the air pressure at v = 0, then ρv2/2 + p = p0. The roof will be blown away after the difference p – p0 will exceed F/A where F is the limit force (20555 N) and A is the area of the roof.

The wind speed at which the roof will be blown outwards can be found from the equation ρv2/2 = F/A. 

Then v = √(2F / ρA) = √(2·20555 N / 1.29 kg/m3 · 3.3 m · 4.4 m) = 47 m/s.

Apr 14th, 2015

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Apr 14th, 2015
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Apr 14th, 2015
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