Question

Find sideslip angle if [u, v, w] = [100, 5, 2.5]. Consider steady level flight.

(a) 2.86°

(b) 4.5°

(c) 4.7°

(d) 2.1°

I had been asked this question during an interview.

The doubt is from Lateral-Directional Static Stability and Control topic in portion Stability, Control, and Handling Qualities of Aircraft Design

Answer 1

Right answer is (a) 2.86°

The best explanation: Given, v = 5, V = [u^2+v^2+w^2] ^0.5 = [100*100+5*5+2.5*2.5] ^0.5 = 100.156.

Sideslip angle = arcsine (v/V) = arcsine (5/100.156) = 2.86°.