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Question: Answered & Verified by Expert
A plane is in level flight at a constant speed such that the speed of the air below the wings is 144 km h-1 and above the wing is 180 km h-1. If each of its wings has an area of 25 m2, then the mass (in kg) of the plane is [ρair=1 kg m-3g=10 m s-2]
PhysicsMechanical Properties of FluidsJEE Main
Solution:
1579 Upvotes Verified Answer
The correct answer is: 2250

Given,

A=25 m2     [area of each wing]

v1=180×518 m s-1=50 m s-1     [speed of the air above the wing]

v2=144×518 m s-1=4m s-1     [speed of the air below the wing]

According to Bernoulli's theorem

P1+12ρairv12=P2+12ρv22

⇒P2-P1=12ρairv12-v22

P1-P2=12×1×502-402

P=450 Pa

The lifting force acting on the plane is

P×Atotal=450×50 N=22500 N

Mg=P×Atotal

M=2250 kg

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