Question

A particle starts rotating from rest, according to the equation : Theta = t^4/60 - t/4 + 7 where theta is in radian and 't' is in second. Calculate the angular velocity of the particle after 10 second.​

Answer 1

Answer:

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Answer 2

Given,

Theta=t^4/60-t/4+7

To Find,

Angular velocity of the particle after 10 second.

Solution,

It is given that, theta=t^4/60-t/4+7

Angular velocity,ω=d/dt(theta)

                                =d/dt(4t^4/60-t/4+7)

                                =4t^3/60-1/4

                                =t^3/15-1/4

We have to find angular velocity for 10s.

So, t=10s

   ω=10^3/15-1/4

       =200/3-1/4

       =797/12radian/sec

Hence, the angular velocity of the particle after 10 seconds is 797/12 rad/s.