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Question

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

A
π2
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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
Angular velocity of particle ω=2×2π
=4π rad/s

Since angular velocity is constant, there is no tangential acceleration.
Centripetal acceleration ac is given by
ac=ω2r=(4π)2×0.25
=4π2

Therefore net acceleration =ac=4π2 m/s2

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