GATE AE 2011 • Q52 NAT • 2 Marks

Aerodynamics & Fluid Mechanics

Incompressible & Compressible Aerodynamics

Subtopic: Airfoil & Wing Theory

Question Statement:

(A) X only (B) Y only (C) Z only (D) X or Y If you assume a factor of safety of 2, what should be the approximate thickness of such a shaft? Q.53 (A) 0.5 mm (B) 1 mm (C) 2 mm (D) 4 mm Statement for Linked Answer Questions 54 and 55: Prandtl's lifting line equation for a general wing is given by      dyy y y Uyy c U yy b b L          2 2 0 0 0 0 0 0 / 4 1  , where U is the free-stream velocity,  is the angle of attack, is the spanwise location,  0y  0 0yL gives the spanwise variation of zero-lift angle, c is the chord, b is the span, and gives the spanwise variation of circulation.  0y The rate of change of circulation with angle of attack      is (A) inversely proportional to  (B) independent of 

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2011 Q.52)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Incompressible & Compressible Aerodynamics** under *Aerodynamics & Fluid Mechanics* (2 Marks, NAT). **2. Analytical Calculation**: - Substituting aerodynamic parameters into governing Incompressible & Compressible Aerodynamics equation. **3. Final Answer**: Acceptable official numerical value is **0.0**.

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