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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.
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Solution
Radius of the loop, r = 1 km = 1000 m
Speed of the aircraft, `v = 900 "km/h" = 900 xx 5/18 = 250 "m/s"`
Centripetal acceleration, `a_c = v^2/r`
`=(250)^2/1000 = 62.5 "m/s"^2`
Acceleration due to gravity, g = 9.8 m/s2
`a_c/g = 62.5/9.8 = 6.38`
`a_c =6.38 g`
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