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An aeroplane flies in a horizontal circular loop at 720 km/h while banking its wings at an angle of 15 deg to the horizontal. Determine the radius of this circular loop. (take g = 10 m/s²)

1. about 14.9 km
2. about 7.4 km
3. about 22.3 km
4. about 3.7 km

Correct answer: about 14.9 km

Solution

In a level banked turn the horizontal component of lift supplies the centripetal force, giving tan(theta) = v²/(rg), so r = v²/(g*tan theta).

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