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CBSE Class 11-science Answered

Air flows horizontally with the speed of 108 Km/h over the plane roof of the house. If the area of the roof is 28 m2 and the density of air is 1.3 kg/m3 calculate the upthrust exerted on the roof.
Asked by Topperlearning User | 01 Aug, 2014, 09:09: AM
answered-by-expert Expert Answer

ρ = 1.3 kg/m3

v1= 0 (because there is no air below the roof)
v2= 108 Km/h = 30 m/s

According to Bernoulli's theorem, we have
P1+ ½ρv12 = P2 + ½ρv22

P- P2 = ½ρ (v22 - v12)
P- P2 = ½ρ v22

Up thrust on the roof is
F= (P1-P2) x A
  = ½ ρv2x A
  = 1/2 x 1.3 x 30 x 30 × 28
  = 16380 N
Answered by | 01 Aug, 2014, 11:09: AM
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