Question
An aircraft executes a horizontal loop of radius 1.00 km with a steady speed of 900
km/h. Compare its centripetal acceleration with the acceleration due to gravity
Solution
Radius of the loop, r = 1 km = 1000 m
Speed of the aircraft, v = 900 km/h = 900 × 5 / 18 = 250 m/s
Centripetal acceleration,
=
Acceleration due to gravity, g = 9.8 m/s2
Therefore,
ac / g = 62.5 / 9.8 = 6.38
ac = 6.38 g, is the required centripetal acceleration.
Speed of the aircraft, v = 900 km/h = 900 × 5 / 18 = 250 m/s
Centripetal acceleration,
=
Acceleration due to gravity, g = 9.8 m/s2
Therefore,
ac / g = 62.5 / 9.8 = 6.38
ac = 6.38 g, is the required centripetal acceleration.
