A rope is wrapped around a 3kg solid cylindrical pulley of radius 0.2 m. A force of 4.9 N is applied to the end of the rope. A) Calculate the tangential acceleration of the pulley. B) What is the angular displacement after the pulley rotates 5s?

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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.