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otation, Translation, and Kinetic Energy: A point on the edge of a 4 kg rotating solid...

otation, Translation, and Kinetic Energy: A point on the edge of a 4 kg rotating solid cylindrical disk ( I = 1 2 M R 2) of radius 40 cm moves through an angle of 4 rads in 2 seconds.

Give all of your answers to 3 significant digits.

Part 1. What is the: Angular velocity, Period, Frequency, Linear Velocity of the point on the edge of the disk?

rad/s

s

hz

m/s

Part 2. What length (in meters) has the disk rotated through in 4 seconds?

m

Part 3. If instead the disk comes unhooked and is allowed to roll freely without slipping along a horizontal surface, realize rolling motion has the property vcm = Rω.

What is Translational Kinetic Energy and the Rotational Kinetic Energy?

Translational:  J

Rotational:  J

Part 4. What is the Total Kinetic Energy?

J

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