Question

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 = 10 m/s²)

(A) 10.6 km 

(B) 9.6 km 

(C) 7.4 km 

(D) 5.8 km

Answer 1

Answer is (A) 10.6 km

Using, tan θ = \(\frac{v^2}{rg}\)

∴ tan 12° = \(\frac{(150)^2}{r\times10}\)

∴ r = 10.6 x 10³m = 10.6 km