In a test experiment on a model aeroplane in wind tunnel, the flow speeds on the upper and lower surfaces of the wings are 70 ms -1 and 65 ms -1 respectively. If the wing area is 2 m 2 the lift of the wing is N . (Given density of air =1.2 kg m -3 )

Physics · Fluid Mechanics

JEE Main 2024 — 29 January, Shift 1 — Question 58

In a test experiment on a model aeroplane in wind tunnel, the flow speeds on the upper and lower surfaces of the wings are $70 \mathrm{~ms}^{-1}$ and $65 \mathrm{~ms}^{-1}$ respectively. If the wing area is $2 \mathrm{~m}^{2}$ the lift of the wing is $\qquad$ N . (Given density of air $=1.2 \mathrm{~kg} \mathrm{~m}^{-3}$ )

Answer: 810

Numerical answer — enter this value.

Step-by-step solution

$\mathrm{F}=\frac{1}{2} \rho\left(\mathrm{v}_{1}^{2}-\mathrm{v}_{2}^{2}\right) \mathrm{A}$ $\mathrm{F}=\frac{1}{2} \times 1.2 \times\left(70^{2}-65^{2}\right) \times 2$

$=810 \mathrm{~N}$

Answer key and solution verified before publishing.

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Exam: JEE Main 2024
Paper: 29 January, Shift 1
Subject: Physics
Chapter: Fluid Mechanics
Topic: Bernoulli's Equation and its Applications