1. The natural way to measure Angular Motion
Radians
The natural way to measure
Angular Motion

2. Angular Displacement & Radians
Angular displacement (θ) is a vector measure of “How far around” Radians& degrees measure angular displacement All Circles have a Circumference 2πr Thus All circle are 2π radiuses, or 2π radians around. Angular displacement is a vector so… Counter-clockwise is considered positive, Clock-wise is negative.

3. ω = Δθ∕Δt Angular Velocity
Angular Velocity (ω) is the vector measure of the rate of change of angular displacement
ω = Δθ∕Δt

4. α = Δω∕Δt Angular Acceleration
Angular acceleration (α) is the rate of change of angular velocity
α = Δω∕Δt

5. Converting Angular to Linear (Tangential) Measures
Finding linear equivalent displacement (s)
s = θr
Finding tangential velocity (vt)
vt = ωr
Finding tangential acceleration (at)
at = αr

6. Angular Versions of Centripetal Formulae
Using Angular Velocity (ω) in place of tangential :
ac = ω²r
&
Fc = mω²r