Describe the linear motion of a point on a rotating rigid system that corresponds to the rotational motion of that point, and vice versa.

For a point at a distance \(r\) from a fixed axis of rotation, the linear distance \(ds\) traveled by the point as the system rotates through an angle \(d\theta\) is given by the equation \(ds = r d\theta\).

Derived relationships of linear velocity and of the tangential component of acceleration to their respective angular quantities are given by the following equations:

For a rigid system, all points within that system have the same angular velocity and angular acceleration.