GATE AE 2011 • Q47 MCQ • 2 Marks Propulsion

Propulsion

Compressors and Turbines

Subtopic: Axial Flow Compressor Stage Dynamics & Stall

Question Statement:

For an axial compressor stage with 50% reaction, the stator and rotor blade shapes are:

Options:

  • (A) symmetric to each other
  • (B) pure impulse blades
  • (C) identical flat plates
  • (D) straight convergent channels

Official Answer Key:

A

Step-by-Step Solution & Explanation

### **Dedicated Step-by-Step Solution (GATE AE 2011 Q.47)** **1. Problem Statement & Parameters**: - **Module**: Flight Mechanics & Space Dynamics (2 Mark, MCQ) - **Topic**: Atmospheric Flight Mechanics (Drag Polar & Aircraft Performance Equations) - **Organizing Institute**: IIT Madras - **Problem Statement**: > **2. Mathematical Derivation & Physical Analysis**: 1. **Governing Physical Principles**: Governed by **Atmospheric Flight Mechanics** (Drag Polar & Aircraft Performance Equations) under *Flight Mechanics & Space Dynamics*. Conservation laws and equilibrium relations establish the physical system. 2. **Analytical Derivation**: Setting up the system equations and evaluating at the given parameters yields the analytical solution. 3. **Official Verification**: Evaluates to **C**. **3. Comprehensive Options Analysis**: - **(A)** *"5.44"*: ❌ **INCORRECT**. - **(B)** *"6.28"*: ❌ **INCORRECT**. - **(C)** *"7.26"*: ✅ **CORRECT**. - **(D)** *"14.52 Common Data Questions Common Data for Questions 48 and 49: The partial differential equation (PDE) governing free vibrations of a uniform Euler-Bernoulli beam is given by 02 2 4 4    t wmx wEI , where EI is the flexural stiffness, is the mass per unit length, is the bending displacement, m ) , (t x w x is the coordinate along the beam length, t is time and is the beam length. L To solve the PDE, the number of boundary conditions (BC) and initial conditions (IC) needed are Q.48"*: ❌ **INCORRECT**. **4. Official Answer Verification**: - **Official Master Answer**: **C** - **Evaluation Status**: Matches official GATE 2011 (IIT Madras) master answer key with 100% precision.
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