GATE_AE_2027_MOCK_03_Q43 GATE 2027 Aerospace Engineering All-India Master Mock 03 (Flight Dynamics, Controls & Space Trajectories) NAT · 2 Marks
Aerodynamics & Fluid Mechanics • Airfoil & Wing Theory • Finite Wing Theory & Induced Drag

A rectangular wing has span b = 10 m and chord c = 1.25 m. Oswald efficiency factor is e = 0.85. If the lift coefficient is C_L = 0.60, what is the induced drag coefficient C_{Di}? (Take \pi \approx 3.1416, round off to three decimal places).

Answer Key:
0.017

Step-by-Step Verified Solution

### Solution: Aspect ratio AR = b^2 / S = b / c = 10 / 1.25 = 8.0. C_{Di} = C_L^2 / (\pi * e * AR) = 0.60^2 / (3.1416 * 0.85 * 8.0) = 0.36 / (21.36288) ≈ 0.01685 ≈ 0.017. Correct: 0.017 (range 0.016 to 0.018).
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