At takeoff, an aircraft travels at 62 m/s, so that the air speed relative to the bottom of the wing is 62 m/s. Given the sea level density of air to be 1.29 kg/m3, how fast must it move over the upper surface to create the ideal lift?

Question

Dangelo Petty

Physics

30 January, 09:45

At takeoff, an aircraft travels at 62 m/s, so that the air speed relative to the bottom of the wing is 62 m/s. Given the sea level density of air to be 1.29 kg/m3, how fast must it move over the upper surface to create the ideal lift?

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Answers (1)

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Baylee Small · Answer 1

the aircraft must travel at a speed of 73.4 m/s in order to create the ideal lift.

Explanation:

We will use Bernoulli's theorem in order to determine the pressure lift:

ΔP = 1/2 (ρ) (v₂² - v₁²)

the generated pressure lift is ΔP = 1000 N/m²

Therefore,

1000 = 1/2 (ρ) (v₂² - v₁²)

v₂² - v₁² = 2000 / ρ

v₂² = (2000 N/m² / 1.29 kg/m³) + (62 m/s) ²

v₂ = √[ (2000 N/m² / 1.29 kg/m³) + (62 m/s) ² ]

v₂ = 73.4 m/s

Therefore, the aircraft must travel at a speed of 73.4 m/s in order to create the ideal lift.