Laws of motion NCERT Solutions Class 11 Physics - Solved Exercise Question 5.30

Question 5.30:

An aircraft executes a horizontal loop at a speed of 720 km/h with its wings banked at 15°. What is the radius of the loop?

Solution:
Speed of the aircraft, v = 720 km/h = 720 X 5 / 18  =  200 m/s

Acceleration due to gravity, g = 10 m/s²
Angle of banking, θ = 15°
For radius r, of the loop, we have the relation:
tan θ = v² / rg
r = v² / g tan θ
= 200² / (10 X tan 15)
= 4000 / 0.26
= 14925.37 m
= 14.92 km