Q.

The angular displacement of a particle is given by θ=t3+2t+1 where t is time in seconds. Its angular acceleration at t = 2s is

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a

14rad s-2

b

17rad s-2

c

12rad s-2

d

9rad s-2

answer is C.

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Detailed Solution

ω=dθdt; α=dωdt here θ=t3+2t+1 ω=3t2+2 α=6t
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The angular displacement of a particle is given by θ=t3+2t+1 where t is time in seconds. Its angular acceleration at t = 2s is