GATE_AE_2027_MOCK_03_Q17 GATE 2027 Aerospace Engineering All-India Master Mock 03 (Flight Dynamics, Controls & Space Trajectories) NAT · 1 Mark
Aerodynamics & Fluid Mechanics • Airfoil & Wing Theory • Kutta-Joukowski Theorem & Circulation

A circular cylinder with circulation \Gamma = 12 m^2/s is placed in a uniform crossflow of air (\rho = 1.2 kg/m^3) with freestream speed U_\infty = 25 m/s. According to the Kutta-Joukowski theorem, what is the lift force per unit span L' in N/m?

Answer Key:
360

Step-by-Step Verified Solution

### Solution: L' = rho * U_\infty * \Gamma = 1.2 * 25 * 12 = 30 * 12 = 360 N/m. Correct: 360.
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