Kinematics
In the following rotational definitions, the angle can be any angle about the specified axis of rotation. It is customary to use θ, but this does not have to be the polar angle used in polar coordinate systems. The unit axial vector
defines the axis of rotation, = unit vector in direction of r, = unit vector tangential to the angle.
| Translation | Rotation | |
|---|---|---|
| Velocity | Average:
Instantaneous: |
Angular velocity
Rotating rigid body: |
| Acceleration | Average:
Instantaneous: |
Angular acceleration
Rotating rigid body: |
| Jerk | Average:
Instantaneous: |
Angular jerk
Rotating rigid body: |
Read more about this topic: Linear-rotational Analogs