GATE AE 2023 • Q40 MCQ • 2 Marks

Aerodynamics & Fluid Mechanics

Incompressible & Compressible Aerodynamics

Subtopic: Airfoil & Wing Theory

Question Statement:

Consider a general aviation airplane with weight 10 kN and a wing planform area of 15 m 2. The drag coefficient of the airplane is given as 0 2 D D LC C KC=+ with 0 0.025DC = and 0.05K = . For level flight at an altitude where the density is 0.60 kg/m3 and thrust 1 kN, the maximum cruise speed is (rounded off to the nearest integer)

Options:

  • (A) 87 m/s
  • (B) 30 m/s
  • (C) 36 m/s
  • (D) 101 m/s

Official Answer Key:

A

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2023 Q.40)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Incompressible & Compressible Aerodynamics** under *Aerodynamics & Fluid Mechanics* (2 Marks, MCQ). **2. Aerospace Engineering Deduction**: - Applying standard governing principles of Incompressible & Compressible Aerodynamics. - Option **(A)** matches the analytical derivation and official criteria. **3. Final Answer**: Correct Option is **(A)**.

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