The speed of a fluid in an aerofoil is √3V and V, its up thrust force is
Correct answer: A. ρAv2
- A. ρAv2
- B. 1/2ρAv2
- C. 1/2ρv2
- D. None
Explanation
The correct answer is ρAv2. According to Bernoulli's principle, the lift force on an aerofoil is due to the pressure difference created by different fluid speeds above and below the wing. The pressure difference is proportional to the square of the speed difference. Given speeds √3V and V, the lift is determined by this difference, leading to the expression ρAv2. Option B incorrectly includes a 1/2 factor, which is not relevant here. Option C omits the area A, and Option D suggests no correct answer, which is incorrect.
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Fluid flow is described through speed, pressure and density, including steady flow and the equation of continuity for conserving mass. Bernoulli's equation relates pressure, speed and height, while fluid drag and terminal velocity explain why a falling object eventually moves at constant speed when drag balances its weight.
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