A bicycle tire is spinning counterclockwise at 3.70 rad/s. During a time period Δt = 1.40 s, the tire is stopped and spun in the opposite (clockwise) direction, also at 3.70 rad/s. Calculate the change in the tire's angular velocity Δω and the tire's average angular acceleration αav. (Indicate the direction with the signs of your answers.) HINT= Apply the definition of average angular acceleration, remembering that angular velocity can be positive or negative, depending on the tire's direction of spin. (a) the change in the tire's angular velocity Δω (in rad/s) (b) the tire's average angular acceleration αav (in rad/s2)
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 counterclockwise at 3.70 rad/s. During a time period Δt = 1.40 s, the tire is stopped and spun in the opposite (clockwise) direction, also at 3.70 rad/s. Calculate the change in the tire's
HINT= Apply the definition of average angular acceleration, remembering that angular velocity can be positive or negative, depending on the tire's direction of spin.
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