A wheel starting from rest is rotating with a constant angular acceleration of 3.0 rad s^-2.An observer notes that it traces an angle of 120 radiation in 40 second interval.For how long the wheel had been rotated when the observer started his observation?

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1.) Describe the work and power in rotational motion with their expression.

2.) A mass of 2kg is rotating on a circular path of radius 0.8m with angular velocity of 14 rad s-1.If the radius of the path become 1m,what will be the value of angular velocity.

3.) A string of wrapped around the rim is wheel of moment of inertia 0.20 kg m^2 and radius 20cm.The wheel is free to rotate about its axis as in figure.Initially the wheel is at rest.The string is now pulled by a force of 20N.Find the angular velocity of the wheel after 5 seconds.

4.) Define the term moment of inertia and radius of gyration.

 

5.) A ballet dancer spins about a vertical axis at 1rps with her arms outstretched with her arm folded her moment of inertia about the vertical axis decreases by 60%.Calculate the new rate of revolution.