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 h1. Compare its centripetal acceleration with the acceleration due to gravity.
Solution:  
Here, r=1km=1000m;
v=900kmh1=900×
1000
3600
m
s1
=250ms1
The centripetal acceleration of the aircraft is given by
a=
v2
r
=
(250)2
1000
=
62500
1000
=62.5ms2

Acceleration due to gravity, g=9.8ms2
Centripetal acceleration
Acceleration due to gravity
=
a
g
=
62.5
9.8
or
a
g
=6.4
or a=6.4g
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