GATE_AE_2027_MOCK_05_Q58 GATE 2027 Aerospace Engineering All-India Master Mock 05 (High-Yield Comprehensive Grand Finale) NAT · 2 Marks
Propulsion • Rocket Propulsion • Solid, Liquid & Hybrid Rocket Engines

A rocket has effective exhaust velocity c = 3500 m/s. The nozzle expands to ambient pressure with exit area A_e = 0.5 m^2 and exit pressure P_e = 100 kPa. What is the thrust F (in kN) when operating in a vacuum (ambient pressure P_a = 0) at propellant mass flow \dot{m} = 100 kg/s?

Answer Key:
400

Step-by-Step Verified Solution

### Solution: Vacuum thrust F = \dot{m} * c + (P_e - P_a) * A_e = (100 * 3500) + (100000 - 0) * 0.5 = 350000 + 50000 = 400000 N = 400 kN. Correct: 400.
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