The angular position (theta) of a wheel of 0.26 m diameter is given by ?=(5.0 rad/s2)t2+ (2.0 rad/s3)t3. Calculate the average velocity over the time interval from 3s to 6s in rpm, instantaneous velocity at 5s in rad/s and the distance that a particle on the wheel rim moves over the given time interval (from 3s to 6s)?
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.
The angular position (theta) of a wheel of 0.26 m diameter is given by ?=(5.0 rad/s2)t2+ (2.0 rad/s3)t3. Calculate the average velocity over the time interval from 3s to 6s in rpm, instantaneous velocity at 5s in rad/s and the distance that a particle on the wheel rim moves over the given time interval (from 3s to 6s)?
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