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Question

A disc of radius 2 cm rotating uniformly about a stationary axis with an angular velocity of 10 rad/s is now experiencing an angular retardation of α=0.2t. The magnitude of centripetal acceleration at t=2 s is

A
184 cm/s2
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B
200 cm/s2
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C
196 cm/s2
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D
216 cm/s2
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Solution

The correct option is A 184 cm/s2
Given, α=0.2t
dωdt=0.2t (angular retardation)
dω=0.2tdt
Integrating on both sides
ωω0dω=200.2tdt
ωω0=0.2t22|20
ω=ω00.1(2)2
=100.4=9.6 rad/s
centripetal acceleration aC=rw2=2×102×(9.6)2
=1.84 m/s2=184 cm/s2

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