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 .......... $km$. $(g = 10\,\,m/{s^2})$
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 .......... $km$. $(g = 10\,\,m/{s^2})$
$10.6$
$9.6$
$7.4$
$5.8$
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 .......... $km$. $(g = 10\,\,m/{s^2})$
The angle of banking, $\tan \theta = \frac{{{v^2}}}{{rg}}$
$⇒$ $\tan 12^\circ = \frac{{{{(150)}^2}}}{{r \times 10}}$
$⇒$ $r = 10.6 \times {10^3}\,m = 10.6\,km$