Define angular velocity and angular acceleration.

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 linear speed of a particle moving in a circle of radius R varies with time as v = v_0 - kt , where k is a positive constant. At what time the magnitudes of angular velocity and angular acceleration will be equal ?

A particle starts rotating from rest according to the formula theta = (t^(2)//64) - (t//8) " where " theta is the angle in radian and t in s . Find the angular velocity and angular acceleration at the end of 4 s .

The angular velocity and angular acceleration of the pivoted rod are given as omega and alpha respectively. Fid the x and y components of acceleration of B .

A uniiform disc of radius r spins with angular velocity omega and angular acceleration alpha . If the centre of mass of the disc has linear acceleration a , find the magnitude and direction of aceeleration of the point 1,2 , and 3 .

A sphere of radius r is rolling without slipping on a hemispherical surface of radius R . Angular velocity and angular acceleration of line OA is omega and alpha respectively. Find the acceleration of point P on sphere.

A particle is moving on a circular path such that at any instant its position vector, linear velocity. Angular velocity, angular acceleration with respect to centre are vec(r),vec(v),vec(w),vec(alpha) respectively. Net acceleration of the particle is :-

A particle is moving along a circular path. The angular velocity, linear velocity, Angular acceleration, and centripetal acceleration of the particle at any instant. Respectively are vec omega, vec v, vec prop, and vec a_c . Which of the following relations is not correct ?

A disc of radius R rolls on a horizontal ground with linear acceleration a and angular acceleration α as shown in figure. The magnitude of acceleration of point P at an instant when its linear velocity is v and angular velocity is ω will be:

A particle attached to a string is rotating with a constant angular velocity and its angular momentum is L. If the string is halved and angular velocity is kept constant, the angular momentum will be