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 m², the lift of the wing is _________ N. (Given density of air = 1.2 kg m⁻³) Numerical answer type. Work it out, then open the answer.

Answer: 810. Δ P = 1/2ρ(vu² - vl²) = 1/2(1.2)(70² - 65²) = 0.6 × 675 = 405 Pa Lift = Δ P × A = 405 × 2 = 810 N

In a test experiment on a model aeroplane in wind tunnel, the flow… | JEE Main 2024 (29 Jan, Shift 1)

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Applications of Bernoulli's Theorem

In a test experiment on a model aeroplane in wind tunnel, the flow speeds on the upper and lower surfaces of the wings are $70\text{ ms}^{-1}$ and $65\text{ ms}^{-1}$ respectively. If the wing area is $2\text{ m}^2$ , the lift of the wing is _________ $N$ .

(Given density of air $= 1.2\text{ kg m}^{-3}$ )

Numerical answer type. Work it out, then open the answer.

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Answer: 810

$\Delta P = \frac{1}{2}\rho(v_u^2 - v_l^2) = \frac{1}{2}(1.2)(70^2 - 65^2) = 0.6 \times 675 = 405\text{ Pa}$
Lift $= \Delta P \times A = 405 \times 2 = 810\text{ N}$

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