A plane is in level flight at constant speed and each of its two wings has an area of 40 m 2 . If the speed of the air is 180 km h - 1 over the lower wing surface and 252 km h - 1 over the upper wing surface, the mass of the plane is ________ kg . (Take air density to be 1 kg m – 3 and g = 10 m s – 2 )

Question

A plane is in level flight at constant speed and each of its two wings has an area of 40 m 2 . If the speed of the air is 180 km h - 1 over the lower wing surface and 252 km h - 1 over the upper wing surface, the mass of the plane is ________ kg . (Take air density to be 1 kg m – 3 and g = 10 m s – 2 ),

MARKS App · Accepted Answer

Total wing span area, A = 2 × 40 = 80 m 2 Using Bernoulli's equation, we get uplift force as A P 2 - P 1 = 1 2 ρ V 1 2 - V 2 2 A ⇒ m g = 1 2 × 1 70 2 - 50 2 × 80 ⇒ m g = 2400 × 40 ⇒ m = 9600 kg

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