CBSE Class 11-science Answered
A plane is in level flight at constant speed. If the speed of blowing air over the lower wing is 150 km/h and that over the upper wing is 210 km/h, determine the net upward force exerted on the plane. Given area of each wing 20 m². (Take air density to be 1 kg/m³)
Asked by Topperlearning User | 01 Aug, 2014, 10:35: AM
Expert Answer
v1 = 150 km/h = 125/3 m/s
v2 = 210 km/h = 175/3 m/s
A = 2 x 20 = 40 m2
According to Bernoulli's theorem, we have
P1 - P2 = 1/2 ρ(v22 - v12)
= 1/2 x 1 [(175/3)2 - (125/3)2] = 1/2 [(30625-15625)/9]
= 15000/18 Pa
Upward force = (P1-P2) x A
= (15000x40)/18 = 33333.33 N
Answered by | 01 Aug, 2014, 12:35: PM
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