A tire is rotating at an angular velocity of 51.6 radians/s. The radius of the tire is 1.9 m. Find the linear speed/velocity of a point on the edge of the tire.
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 tire is rotating at an
In the non-rotational case, the velocity relation is given by
The linear velocity of a point on the edge of the tire is given by
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