Question

A jet plane makes a horizontal loop with a velocity 900km/h. Find the radius of the loop if the wings of the jet are banked at 100.

Answer 1

Answer: $r = - 1124.535\ m$

Explanation:

Given that,

Velocity v = 900 km/h = 250 m/s

Angle of banked $\theta = 100$

Now, for banked curve

$tan\ \theta= \dfrac{v^{2}}{rg}$

The radius is

$r = \dfrac{v^{2}}{g\ tan\ \theta}$

$r = \dfrac{(250\ m/s)^{2}}{9.8\ m/s^{2}\times (-5.671)}$

$r = - 1.124\times10^{3}\ m$

Hence, the radius of the loop is  -1.124 km.