The statement shows a case of rotational motion, in which the disc <em>decelerates</em> at <em>constant</em> rate.
i) The angular acceleration of the disc (), in revolutions per square second, is found by the following kinematic formula:
(1)
Where:
- - Initial angular speed, in revolutions per second.
- - Final angular speed, in revolutions per second.
- - Time, in seconds.
If we know that , y , then the angular acceleration of the disc is:
The angular acceleration of the disc is radians per square second.
ii) The number of rotations that the disk makes before it stops (), in revolutions, is determined by the following formula:
(2)
If we know that , y , then the number of rotations done by the disc is:
The disc makes 3.125 revolutions before it stops.
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