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If the equation for the displacement of ...

If the equation for the displacement of a particle moving in a circular path is given by `(theta)=2t^(3)+0.5`, where `theta` is in radians and `t` in seconds, then the angular velocity of particle after `2 s` from its start is

A

12 radian /sec

B

18 radian / sec

C

24 radian / sec

D

30 radian / sec

Text Solution

Verified by Experts

The correct Answer is:
C
`theta = 2t^(3) +0.5 theta omega =(d theta )/(dt) = 2xx3t^(2)=6t^(2)`
` therefore "If" t=2 , omega =6xx4=24 rad//s`
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