An aircraft executes a horizontal loop at a speed of `720 km h^(-1)`, with its wings banked at `15^(@)` What is the radius of the loop ?

Explanation

Here v = 720 km/h = `720 xx 5/18 m/s` = 200 m/s and angle of banking `theta` = `15^(@)` ltbrlt From the relation
`tan theta` = `v^(2)` / rg we have
r = `v^(2)` / g tan`theta` = `200 x200 / 10 xx tan (15)^(@)` = `200 x 200 / 10 xx 0.2679
`implies` r = 14931 m = 14.9 km.