Question Statement:
For a conventional airplane in straight, level, constant velocity flight condition, which of the following condition(s) is/are possible on Euler angles $(\phi, \theta, \psi)$, angle of attack $(\alpha)$ and the sideslip angle $(\beta)$?
Options:
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(A) $\phi = 0^\circ, \theta = 2^\circ, \psi = 0^\circ, \alpha = 2^\circ, \beta = 0^\circ$
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(B) $\phi = 5^\circ, \theta = 0^\circ, \psi = 0^\circ, \alpha = 2^\circ, \beta = 0^\circ$
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(C) $\phi = 0^\circ, \theta = 3^\circ, \psi = 0^\circ, \alpha = 3^\circ, \beta = 5^\circ$
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(D) $\phi = 0^\circ, \theta = 5^\circ, \psi = 0^\circ, \alpha = 2^\circ, \beta = 5^\circ$
Step-by-Step Solution & Explanation
### **Detailed Step-by-Step Solution (GATE AE 2022 Q.45)**
In wings-level symmetric straight and level flight, $\theta = \alpha$ and $\phi = \beta = 0$. In crosswind trim or crabbed steady flight, relations between flight path, Euler pitch/roll, and aerodynamic angles hold.
- **Official Answer Key**: **A, C**