A fully loaded boeing aircraft has a mass of 5.4 × 10⁵ kg. Its total wing area is 500 m². It is in level flight with a speed of 1080 km/h. If the density of air ρ is 1.2 kg m⁻³ , the fractional increase in the speed of the air on the upper surface of the wing relative to the lower surface in percentage will be
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Question

A fully loaded boeing aircraft has a mass of 5.4 × 10⁵ kg. Its total wing area is 500 m². It is in level flight with a speed of 1080 km/h. If the density of air ρ is 1.2 kg m⁻³ , the fractional increase in the speed of the air on the upper surface of the wing relative to the lower surface in percentage will be

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G1 Physics · Accepted Answer

Step 1: Lift equals weight: ΔP·A = mg. Bernoulli gives ΔP≈½ρ(vupper²−vlower²). Step 2: With mean flight speed 1080 km h⁻¹=300 m s⁻¹, solving for fractional speed difference gives about 10%. Final answer: D.