An airplane wing is designed so that the speed of the air across the top of the wing is 250 m/s when the speed of the air below the wing is 200 m/s. The density of the air is 1.3 kg/m3. What is the lifting force on a wing of area 24.0 m2?

Engineering

Physics

Bernoulies Equation

Question

An airplane wing is designed so that the speed of the air across the top of the wing is 250 m/s when the speed of the air below the wing is 200 m/s. The density of the air is 1.3 kg/m³. What is the lifting force on a wing of area 24.0 m²?

5 × 10⁵ N

2.5 × 10⁵ N

3.5 × 10⁵ N

1.5 × 10⁵ N

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$\frac{p_{1}}{ρg} + \frac{v_{1}^{2}}{2 g} = \frac{p_{2}}{ρg} + \frac{v_{2}^{2}}{2 g}$

$p_{1} - p_{2} = \frac{1}{2} r (v_{b} {}^{2}- {v_{1}}^{2})$

$F = (p_{1} - p_{2}) A = \frac{1}{2} \times 1.3 \times (250^{2} - 200^{2}) \times 12$

= 3.5 × 10⁵ N

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