A grinding wheel powered by electricity is rotating at 71.1 rad/s when it initially undergoes constant angular acceleration of 4.89 rad/s until the electricity is cut off after 12.1 s. From then on, the rotation of the wheel slowed down until it eventually come to a stop. If the wheel has turned a total of 425 rev during the whole course of its motion, what is the magnitude of the angular acceleration of the wheel as it slowed down?

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Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.