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A solid body rotates about a stationary ...

A solid body rotates about a stationary axis so that its angular velocity depends on the rotation angle  as   = 0 – k , where    0 and k are positive constants. At the moment t = 0, the angle  = 0. Find the time dependence of rotation angle -

A

`K.omega_(0)e^(-KT)`

B

`(omega_(0))/K[e^(-Kt)]`

C

`(omega_(0))/K[1-e^(-Kt)]`

D

`K/(omega_(0))[e^(-Kt-1)]`

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The correct Answer is:
C
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