GATE_AE_2027_MOCK_01_Q24 GATE 2027 Aerospace Engineering All-India Master Mock 01 (Foundation & Standard Core Calibration) MCQ · 1 Mark
Flight Mechanics & Space Dynamics • Dynamic Stability • Short Period & Phugoid Longitudinal Modes

The natural frequency $\omega_{np}$ of the aircraft Phugoid longitudinal dynamic mode in steady level cruise at true airspeed $V$ is approximately proportional to:

(A) \frac{g}{V}
(B) \frac{V}{g}
(C) \frac{V^2}{g}
(D) \sqrt{V}
Answer Key:
A

Step-by-Step Verified Solution

### Solution: Lanchester's Phugoid approximation gives $\omega_{np} = \sqrt{2} \frac{g}{V} \propto \frac{g}{V}$. Correct: A.
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