Angular and Linear Motion
| Variable | Linear motion | Rotational motion | Connection |
|---|
| Displacement | x | θ | | θ |
= |
| x
|  |
| r
|
|
|
| Velocity | v | ω | | ω |
= |
| v
| |
| r
|
|
|
| Tangential Acceleration | a | α | | α |
= |
| at
| |
| r
|
|
|
Right-Hand Rule for Direction of Angular Velocity and Angular Acceleration:
Curl the fingers of your right
hand in the direction of the angular motion. Your thumb points in the
direction of the angular velocity (or the angular acceleration), the axle direction.
Important: Be careful of the sign!
If the angular velocity is increasing, the
angular velocity and angular acceleration are parallel.
If the angular velocity is decreasing, the
angular velocity and angular acceleration are
antiparallel.