During a hurricane, the atmospheric pressure inside a housemay blow off the roof

Question

During a hurricane, the atmospheric pressure inside a housemay blow off the roof because of the reduced pressure outside. Ifair (density 1.293 kg/m3) is blowing over the roof of ahouse at a speed of 90 km/hr, what is the pressure differencebetween the inside and the outside of the house?

What would be the lifting force on a roof of area74 m2? During a hurricane, the atmospheric pressure inside a housemay blow off the roof because of the reduced pressure outside. Ifair (density 1.293 kg/m3) is blowing over the roof of ahouse at a speed of 90 km/hr, what is the pressure differencebetween the inside and the outside of the house?

What would be the lifting force on a roof of area74 m2?

Explanation / Answer

        Initialvelocity is V1 = 90 km/hr = 25 m/s         From Beronulli'sequation                                  P2- P1 = (1/2) V12                                     = (1/2)(1.293 kg/m3) (25 m/s)2                                    =404.1 Pa        The lifting force is F =( P2 - P1)*A                                       =(404.1 Pa)*( 74m2 )                                          =29900 N     

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