A roller in a printing press turns through an angle `theta=3t^(2)-t^(3) rad`.
(a) Calculate the angular velocity and angular acceleration as a function of time `t`.
(b) What is the maximum positive angular velocity and at what time `t` does it occur?

The angular displacement of a body is given by theta = 2t^(2) + 5t -3 . Find the value of the angular velocity and angular acceleration when t = 2s.

The angular position of a point on the rim of a rotating wheel is given by theta=4t^(3)-2t^(2)+5t+3 rad. Find (a) the angular velocity at t=1 s , (b) the angular acceleration at t=2 s . (c ) the average angular velocity in time interval t=0 to t=2 s and (d) the average angular acceleration in time interval t=1 to t=3 s .

The position-time relation of a moving particle is x = 2t -3t^(2) . What is the maximum positive velocity of the particle?

A solid body rotates with angular velocity vecomega=3thati+2t^(2) hatj rad//s . Find (a) the magnitude of angular velocity and angular acceleration at time t=1 s and (b) the angle between the vectors of the angular velocity and the angular acceleration at that moment.

The position x of a particle varies with time t according to the relation x=t^3+3t^2+2t . Find the velocity and acceleration as functions of time.

The position x of a particle varies with time t according to the relation x=t^3+3t^2+2t . Find the velocity and acceleration as functions of time.

What is the dimension of [T] in angular acceleration?

The angular displacement of particle (in radian) is given by theta=t^(2) + t . Calculate angular velocity at t=2 second.

If a body is rotating such that its angle from a fixed location is given by theta=t^(3)-3t^(2)-6t+3 . Find its angular velocity, angular acceleration, and the time at which its angular velocity is zero.

The angular velocity of a particle is given by the equation omega =2t^(2)+5rads^(-1) . The instantaneous angular acceleration at t=4 s is