A bicycle tire is spinning couterclockwise at 4.00 rad/s. During a time period 1.05 s, the tire is stopped and spun in the opposite (clockwise) direction, also at 4.00 rad/s. Calculate the change in the tire's angular acceleration. (Indicate the direction with the signs of your answers) (a) the change in the tire's angular velocity (b) the tire's average angular acceleration
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.
A bicycle tire is spinning couterclockwise at 4.00 rad/s. During a time period 1.05 s, the tire is stopped and spun in the opposite (clockwise) direction, also at 4.00 rad/s. Calculate the change in the tire's
(a) the change in the tire's
(b) the tire's average angular acceleration
a)
Take the counterclockwise direction to be positive.
The change in angular velocity is given by,
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