Physics - Fluid Question with Solution | TestHub

PhysicsFluidBernoulli's theorem and applicationsMedium2 minPYQ_2024

PhysicsMediumnumerical

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 $g = 10 m s^{- 2}$ )

Answer:

9600.00

Solution:

Total wing span area, $A = 2 \times 40 = 80 m^{2}$

Using Bernoulli's equation, we get uplift force as

$A (P_{2} - P_{1}) = \frac{1}{2} ρ (V_{1}^{2} - V_{2}^{2}) A$

$\Rightarrow m g = \frac{1}{2} \times 1 (70^{2} - 50^{2}) \times 80$

$\Rightarrow m g = 2400 \times 40$

$\Rightarrow m = 9600 kg$

Stream:JEESubject:PhysicsTopic:FluidSubtopic:Bernoulli's theorem and applications

⏱ 2mℹ️ Source: PYQ_2024

Doubts & Discussion

Loading discussions...