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

Options

A. 10.6 km
B. 9.6 km
C. 7.4 km
D. 5.8 km

Answer

A

Explanation

The angle of banking, `tan theta = v^(2)/(rg)`
`rArr tan 12^(@) =(150)^(2)/(r xx 10)`
`rArr r = 10.6 xx 10^(-3) m = 10.6 km`