Rotational Motion Lesson 1 - The Basics

Rotational motion is basically the same as linear motion (horizontal and vertical), except that some of the symbols have changed. Here is a chart to show you the different symbols.

Term Linear Symbol Rotational Symbol Units
Velocity v OMEGA rad/s, rev/s, deg/s
Acceleration a ALPHA rad/s2, rev/s2, deg/s2
Distance d THETA radians, revolutions, degrees
Radius (nothing) r meters

Because of these symbols, the old equations we had need to be slightly re-written.

= / t = (o + f) / 2
= (f - o) / t
= ot + 0.5 * * t2
2 * * = f2 - o2

Since rotational motion and linear motion are measured in different ways, there are some equatoins needed for conversion between the two.

v = r *
a = r *
d = r *

The important thing to remember is that for the above equations to work, the rotational variables must be in rad/s. Here is the equation for unit conversion.

1 rev = 360° = 2 rad

That's all there is in this lesson, the next one will cover angular velocity and acceleration. There's nothing drastically different, but we'll at least do a sample problem for it.