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8) A disk is initially spinning about its center at 21 rad/s counter-clockwise and a constant...

8) A disk is initially spinning about its center at 21 rad/s counter-clockwise and a constant angular acceleration of 2.5 rad/s2 is applied to it clockwise. After 5.6 seconds how fast is a piece of dust moving, in m/s, which is 0.62 meters from the center of the disk?

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Answer #1

Given the initial angular speed of disc is in the counterclockwise direction

However, the angular acceleration is in the clockwise direction

Since the angular acceleration of the disc is constant, the rotational motion of the disc is governed by the kinematics equation for uniformly accelerated motion. To find the angular velocity after 5.6 seconds we use

The speed of a point at a distance R away from the axis of rotation (which is the centre of the disc) is

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