Q. 274.3( 3 Votes )

# A plane is in lev

Answer :

Given,

Area of the two wings, A = 2 × 25 = 50 m^{2}

Air Velocity over wings, v_{1} = 234 km/h = 65 m/s

Air Velocity below wings, v_{2} = 180 km/h = 50 m/s

Density of the air, ρ = 1 kg/m^{3}

Bernoulli’s equation,

(∵ neglecting potential energy)

Let, P_{1} = pressure over wings

P_{2} = pressure below wings

⇒

⇒

= 862.5 pa

We have,

Where,

ΔP = change in pressure = P_{2} – P_{1}

A = area

∴ F = 862.5 pa × 50 m^{2}

= 43125 N

As per Newton’s second law,

F = mg

Where,

F = force

g = acceleration due to gravity

⇒ mass of the plane,

Thus,

Mass of the plane, m ≈ 4400 kg

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