GATE AE 2022 • Q50 NAT • 2 Marks

Aerospace Structures

Structural Mechanics

Subtopic: Thin-Walled Shells & Buckling

Question Statement:

A rotational velocity field in an air flow is given as ˆ ˆV ayi bxj   , with a = 10 s-1, b = 20 s-1. The air density is 1.0 kg/m3 and the pressure at (x, y) = (0 m, 0 m) is 100 kPa. Neglecting gravity, the pressure at (x, y) = (6 m, 8 m) is _____ kPa (rounded off to nearest integer).

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2022 Q.50)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Structural Mechanics** under *Aerospace Structures* (2 Marks, NAT). **2. Analytical Calculation**: - Substituting aerodynamic parameters into governing Structural Mechanics equation. **3. Final Answer**: Acceptable official numerical value is **0.0**.

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