RIGID BODY ROTATION
Picture a body rotating about a fixed axis, a body that does not change shape in any way as it rotates...
s = r
θ ω =
d
θ
/dt
α =
d
ω
/dt
v = ds/dt = r d
θ
/dt = r
ω
a
r
= v
2
/r = r
ω
2
a
t
= dv/dt = r d
ω
/dt = r
α
Next (angular velocity)