A disk of radius R = 0.5 m rolls on a horizontal surface. The relationship between the hor...

A disk of radius R = 0.5 m rolls on a horizontal surface. The relationship between the horizontal distance x the center of the disk moves and the angle β through which the disk rotates is x = Rβ. Suppose that the center of the disk is moving to the right with a constant velocity of 2 m/s.

(a) What is the disk’s angular velocity?

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(b) What is the disk’s angular velocity vector?