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

Explanation

Speed, v = 720 km `h^(-1) = (720 xx 1000)/(3600) ms^(-1)`
= 200 `ms^(-1) and tan theta = tan 15^(@) = 0.2679`
tan `theta = (v^(2))/(rg) " or " r = (v^(2))/(g tan theta) = (200 xx 200)/(9.8 xx 0.2679)`
m = 1523.7m = 15.24 km,