There are many parallels between straight-line motion and rotational motion. This table shows some of them. We'll extend the list over the next few days.
Variable | Straight-line motion | Rotational motion | Connection |
---|---|---|---|
Displacement | x | q | q = x/r |
Velocity | v | w | w = v/r |
Acceleration | a | a | a = a/r |
Produces motion | F | t | t = r F sinq |
Inertia | m | I | I = ò r2 dm |
Second Law | SF = ma | St = I a | |
Work | W = F d cosq | ?? | |
Kinetic Energy | K = ½ mv2 | ?? |