Angular Acceleration

A particle is at a distance r from the axis of rotation. A given torque tau produces some angular acceleration in it. If the mass of the particle is doubled and its distance from the axis is halved, the value of torque to produce the same angular acceleration is -

A wheel is making revolutions about its ais with unifrom angular acceleration. Starting from rest, ilt reaches 100 rev/sec in 4 seconds. Find the angular acceleration. Find the angle rotated during these four seconds.

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.

A grindstone of radius 4.0 m is initially spinning with an angular speed of 8.0 rad/s. The angular speed is then increased to 10 rad/s over the next 4.0 s. Assume that the angular acceleration is constant. What is the magnitude of the angular acceleration of the grindstone?

Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 5.0 s, it rotates 20 rad. During that time, what are the magnitudes of (a) the angular acceleration and (b) the average angular velocity? ( c) What is the instantaneous angular velocity of the disk at the end of the 5.0 s? (d) With the angular acceleration unchanged, through what additional angle will the disk turn during the next 5.0 s?

A flywheel turns through 40 rev as it slows from an angular speed of 1.5 rad/s to a stop. (a) Assuming a constant angular acceleration, find the time for it to come to rest. (b) What is its angular acceleration? ( c) How much time is required for it to complete the first 20 of the 40 revolutions?

A wheel is turned from rest through 500 radians in 20 s by applying a constant torque. (a) Calculate the angular acceleration of wheel (b) ind the angular velocity of the wheel after 40s from start if its angular acceleration is same.

In nonuniform circular motion, the linear acceleration vec a , the angular acceleration, vec alpha , the angular velocity vec v the radius vector vec r and the angular velocity vec omega at any instant are related by the vector equation,

Angular velocity and Acceleration