Suppose a wheel with a tire mounted on it is rotating at the constant rate of 3.27 times a second. A tack is stuck in the tire at a distance of 0.377 m from the rotation axis. Noting that for every rotation the tack travels one circumference, find the tack's tangential speed.
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.
Suppose a wheel with a tire mounted on it is rotating at the constant rate of 3.27 times a second. A tack is stuck in the tire at a distance of 0.377 m from the rotation axis. Noting that for every rotation the tack travels one circumference, find the tack's tangential speed.
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