A bicycle tire is spinning counterclockwise at 3.40 rad/s. During a time period Δt = 2.05 s, the tire is stopped and spun in the opposite (clockwise) direction, also at 3.40 rad/s. Calculate the change in the tire's angular velocity Δ? and the tire's average angular acceleration ?av. (Indicate the direction with the signs of your answers.) HINT (a) the change in the tire's angular velocity Δ? (in rad/s)   rad/s (b) the tire's average angular acceleration ?av (in rad/s2)  rad/s2

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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.