1) 2) 3) 4) 5) 6) 7) 8) A disk with mass m = 9.1 kg and radius R = 0.38 m begins

Question

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A disk with mass m = 9.1 kg and radius R = 0.38 m begins at rest and accelerates uniformly for t = 17.2 s, to a final angular speed of ? = 34 rad/s. 1) What is the angular acceleration of the disk? rad/s^2 2) What is the angular displacement over the 17.2 s? rad 3) What is the moment of inertia of the disk? kg-m^2 4) What is the change in rotational energy of the disk? J 5) What is the tangential component of the acceleration of a point on the rim of the disk when the disk has accelerated to half its final angular speed? m/s2 6) What is the magnitude of the radial component of the acceleration of a point on the rim of the disk when the disk has accelerated to half its final angular speed? m/s^2 7) What is the final speed of a point on the disk half-way between the center of the disk and the rim? m/s 8) What is the total distance a point on the rim of the disk travels during the 17.2 seconds?

Explanation / Answer

1. ? = ?? / ?t = 34 rad/s / 17.2s = 1.976 rad/s

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