GATE_AE_2027_MOCK_04_Q43 GATE 2027 Aerospace Engineering All-India Master Mock 04 (Aerospace Structures, Thin-Walled Beams & Aeroelasticity) NAT · 2 Marks
Aerodynamics & Fluid Mechanics • Airfoil & Wing Theory • Finite Wing Theory & Induced Drag

A high-altitude reconnaissance drone wing has aspect ratio AR = 20 and Oswald efficiency factor e = 0.95. At cruise lift coefficient C_L = 1.0, what is the induced drag coefficient C_{Di}? (Take pi ≈ 3.1416, round off to four decimal places).

Answer Key:
0.0168

Step-by-Step Verified Solution

### Solution: C_{Di} = C_L^2 / (pi * e * AR) = 1.0^2 / (3.1416 * 0.95 * 20) = 1.0 / 59.6904 ≈ 0.01675 ≈ 0.0168. Correct: 0.0168 (range 0.0165 to 0.0172).
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