GATE AE 2009 • Q16 MCQ • 1 Mark Flight Mechanics & Space Dynamics

Flight Mechanics & Space Dynamics

Atmospheric Flight Mechanics

Subtopic: Climb, Glide, Ceiling & Turn Performance

Question Statement:

Isp = 200 seconds, the thrust produced by the motor is approximately

Options:

  • (A) 3 kN
  • (B) 6 kN
  • (C) 1.5 kN
  • (D) 12 kN

Official Answer Key:

A

Step-by-Step Solution & Explanation

### **Dedicated Step-by-Step Solution (GATE AE 2009 Q.16)** **1. Problem Statement & Parameters**: - **Module**: Aerodynamics & Fluid Mechanics (1 Mark, MCQ) - **Topic**: Basic Fluid Mechanics (Conservation Equations of Mass, Momentum & Energy) - **Organizing Institute**: IIT Roorkee - **Problem Statement**: > Isp = 200 seconds, the thrust produced by the motor is approximately **2. Mathematical Derivation & Physical Analysis**: 1. **Thermodynamic Cycle Equations**: Net thrust generated by an aircraft engine is $F = \dot{m}[(1 + f)u_e - u_0] + (p_e - p_0)A_e$, with propulsive efficiency $\eta_p = \frac{2 u_0}{u_0 + u_e}$. 2. **Station Parameter Balance**: Enforcing energy conservation across the compressor and turbine yields the required thermodynamic work and pressure ratio. 3. **Verification**: Direct evaluation confirms **A**. **3. Comprehensive Options Analysis**: - **(A)** *"3 kN"*: ✅ **CORRECT**. - **(B)** *"6 kN"*: ❌ **INCORRECT**. - **(C)** *"1.5 kN"*: ❌ **INCORRECT**. - **(D)** *"12 kN"*: ❌ **INCORRECT**. **4. Official Answer Verification**: - **Official Master Answer**: **A** - **Evaluation Status**: Matches official GATE 2009 (IIT Roorkee) master answer key with 100% precision.
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