A fly wheel with the initial angular velocity 6rad/sec decelerates due to the forces whose moment relative to the axis is proportional to the square root of its angular velocity of the flywheel averaged over the total deceleration time is

The initial angular velocity of a heavy flywheel rotating on its axis is w_0 . Its angular velocity decreases due to friction. At the end of the first minute its angular velocity is 0.8 omega_(0) . What is its angular velocity at the end of third minute, if the frictional force is constant ?

A particle retards from a velocity v_(0) while moving in a straight line. If the magnitude of deceleration is directly proportional to the square loop of the speed of the particle, find its average velocity for the total time of its motion.

Two discs of moment of inertia 9kgm^2 and 3kgm^2 were rotating with angular velocity 6 rad/sec and 10 rad/sec respectively in same direction. They are brought together gently to move with same angular velocity. The loss of kinetic energy in Joules is______.

A solid body rotates about a stationary axis so that the rotation angle theta varies with time as theta=6t-2t^(3) radian. Find (a) the angular acceleration at the moment when the body stops and (b) the average value of angular velocity and angular acceleration averaged over the time interval between t=0 and the complete stop.

A fly wheel is rotating about its own axis at an angular velocity 11 rads^(-1) , its angular velocity in revolution per minute is

A wheel initially has an angular velocity of 18 rad/s. It has a costant angular acceleration of 2 rad/ s^2 and is slowing at first. What time elapses before its angular velocity is 22 rad/s in the direction opposite to its initial angular velocity?

A wheel 2 kg having practically all the mass concentrated along the circumference of a circle of radius 20 cm is rotating on its axis with angular velocity of 100 rad/s, then the rotational kinetic energy of wheel is

A wheel is a rest. Its angular velocity increases uniformly and becomes 80 rad s^(-1) after 5 s. The total angular displacement is

A flywheel requires 3 s to rotate through 234 radian. If its angular velocity at 3 s is 108 rad/s, find the initial velocity and uniform acceleration.

A wheel of mass 5 kg and radius 0.40 m is rolling on a road without sliding with angular velocity 10 rad s^-1 . The moment of ineria of the wheel about the axis of rotation is 0.65 kg m^2 . The percentage of kinetic energy of rotate in the total kinetic energy of the wheel is.