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GATE 2020 AE – Question 31

Flight Mechanics & Space Dynamics · Aerodynamic forces and moments, angle of attack and sideslip, high-lift devices, roll, pitch and yaw controls · 1 mark · Numerical answer

Airplane velocity in body axes is [100, −10, 20] m/s. Find sideslip angle in degrees, to 2 decimals.

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Correct answer: -5.62 to -5.57

Explanation

Total speed is $V=\sqrt{100^2+(-10)^2+20^2}=\sqrt{10500}$ m/s. Sideslip satisfies $\sin\beta=v/V$, with lateral velocity v = −10 m/s. Therefore $\beta=\sin^{-1}(-10/\sqrt{10500})=-5.6004^\circ$, approximately −5.60°. The negative sign follows the lateral component.

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