__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

^{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 X tan 15)

= 4000 / 0.26

= 14925.37 m

= 14.92 km

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