A plane is in level flight at constant speed and each of its two wings has an area of . If the speed of the air is 180 km/h over the lower wing surface and 252 km/h over the upper wing surface, the mass of the plane is __________ kg.

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Solution

Q.
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 over the lower wing surface and 252 km/h over the upper wing surface, the mass of the plane is __________ kg.

$(T a k e a i r d e n s i t y t o b e 1 k g$ $m^{- 3}$ $a n d$ $g = 10$ $m s^{- 2})$ [2024]

Ans.
(9600) By Bernoulli's equation

$P_{1} + \frac{1}{2} ρ v_{1}^{2} = P_{2} + \frac{1}{2} ρ v_{2}^{2}$

$\frac{1}{2} \times ρ \times [4900 - 2500] = \frac{m g}{A}$

$\frac{1}{2} \times 1 \times 2400 = \frac{m \times 10}{80}$

$m = 9600 kg$

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