### Q.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?

**Answer:-**Speed of the aircraft, *v* = 720 km/h = 720 × 5 / 18 = 200 m/s

Acceleration due to gravity, g = 10 m/s^{2}

Angle of banking, *θ* = 15°

For radius *r*, of the loop, we have the relation:

*tan* θ =* v ^{2}* / rg

*r*=

*v*/

^{2}*g*tan θ

= 200

^{2}/ (10 × tan 15)

= 4000 / 0.26

= 14925.37 m

= 14.92 km