A particle starts rotating from rest. The instantaneous angular displacement is = 3t^3 - t^2 , where is in radian and t in s; The angular velocity at t = 1 s is

Step-by-step solution

The angular displacement is given by = 3t^3 - t^2 . The angular velocity is the rate of change of angular displacement with respect to time, given by = d dt . Differentiating with respect to t : = d dt (3t^3 - t^2) = 9t^2 - 2t Substituting t = 1 s: = 9(1)^2 - 2(1) = 7 rad s ⁻¹ Answer: 7 rads⁻¹