GATE_AE_2027_MOCK_05_Q43 GATE 2027 Aerospace Engineering All-India Master Mock 05 (High-Yield Comprehensive Grand Finale) NAT · 2 Marks
Aerodynamics & Fluid Mechanics • Airfoil & Wing Theory • Finite Wing Theory & Induced Drag

A glider wing of span b = 18 m and aspect ratio AR = 12 has lift coefficient C_L = 0.90. Assuming an elliptical lift distribution (e = 1.0), what is the induced drag coefficient C_{Di}? (Take pi ≈ 3.1416, round off to four decimal places).

Answer Key:
0.0215

Step-by-Step Verified Solution

### Solution: C_{Di} = C_L^2 / (pi * AR) = (0.90)^2 / (3.1416 * 12) = 0.81 / 37.6991 ≈ 0.021486 ≈ 0.0215. Correct: 0.0215 (range 0.0210 to 0.0220).
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