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Question

A particle moves in a circle of radius 25 cm at two revolutions per sec. The acceleration of the particle in m/s2 is :

A
π
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B
8π2
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C
4π2
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D
2π2
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Solution

The correct option is C 4π2
Given :
r=25×102 m
f = 2 revolutions/sec
ω=2πf=4π rad/sec
Acceleration
a=v2r=(ωr)2r
=ω2r=(4π)2×25×102
=16×25×102π2 m/s2
=4π2 m/s2

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