An aircraft executes a horizontal loop with a speed of $150\ m/s$ with its wings banked at an angle of $12{^\circ}$. The radius of the loop is $(g = 10\ m/s^{2}, an{12{^\circ} = 0.2126}\ )$

Question

An aircraft executes a horizontal loop with a speed of $150\ m/s$ with its wings banked at an angle of $12{^\circ}$. The radius of the loop is $(g = 10\ m/s^{2},	an{12{^\circ} = 0.2126}\ )$

Dr. Abubacker · Accepted Answer

(a) The angle of banking, $	an	heta = \frac{v^{2}}{rg}$
$\Rightarrow 	an 12^{o} = \frac{(150)^{2}}{r 	imes 10} \Rightarrow r = 10.6 	imes 10^{3}m = 10.6\ km$

Q. An aircraft executes a horizontal loop with a speed of $150\ m/s$ with its wings banked at an angle of $12{^\circ}$. The radius of the loop is $(g = 10\ m/s^{2},\tan{12{^\circ} = 0.2126}\ )$

Explanation

Reviewed by Dr. Abubacker

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