Motion in a Plane
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Question : 18
Total: 32
An aircraft executes a horizontal loop of radius 1.00 km with a steady speed of 900 km h– 1 . Compare its centripetal acceleration with the acceleration due to gravity.
Solution:
Here, r = 1 k m = 1000 m ;
v = 900 k m h − 1 = 900 ×
m s − 1 = 250 m s − 1
The centripetal acceleration of the aircraft is given by
a =
=
=
= 62.5 m s − 2
Acceleration due to gravity,g = 9.8 m s − 2
∴
=
=
or
= 6.4 or a = 6.4 g
The centripetal acceleration of the aircraft is given by
Acceleration due to gravity,
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