A carousel is initially at rest. At t = 0 it is given an angular acceleration of 0.080 rad/s^2, which increases its angular velocity for 15 secs. At t = 15, determine the linear velocity, in m/s, of Cindy riding the carousel located 1.32 m. from the center.

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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.