GATE AE 2024 • Q34 NAT • 1 Mark

Propulsion

Air-Breathing & Rocket Propulsion

Subtopic: Engine Thermodynamic Cycles

Question Statement:

An aircraft with a turbojet engine is flying with 250 m/s speed at an altitude, where the density of air is 1 kg/m3. The inlet area of the engine is 1 m2. The average velocity of the exhaust gases at the exit of the nozzle, with respect to aircraft, is 550 m/s. Assume the engine exit pressure is equal to the ambient pressure and the fuel-air ratio is negligible. The uninstalled thrust produced by the engine at these conditions is _________ N (rounded off to the nearest integer).

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2024 Q.34)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Air-Breathing & Rocket Propulsion** under *Propulsion* (1 Mark, NAT). **2. Analytical Calculation**: - Substituting aerodynamic parameters into governing Air-Breathing & Rocket Propulsion equation. **3. Final Answer**: Acceptable official numerical value is **0.0**.

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