An aircraft executes a horizontal loop with a speed of 150 ,m/s with its, wings banked at an angle o

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3-2.Motion in Plane

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

A

$10.6$

B

$9.6$

C

$7.4$

D

$5.8$

Solution

(a)The angle of banking, $\tan \theta = \frac{{{v^2}}}{{rg}}$

$⇒$ $\tan 12^\circ = \frac{{{{(150)}^2}}}{{r \times 10}}$

$⇒$ $r = 10.6 \times {10^3}\,m = 10.6\,km$

Standard 11

Physics

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