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h1. Angular Velocity

{excerpt}The change in [angular position] with time, the angular analogue of linear [velocity]. It is a [vector], having both magnitude and direction.  In introductory mechanics we will almost always deal with cases of angular velocity about a single [axis of rotation], so that the angular velocity is confined to one dimension.{excerpt} 

h3. Mathematical Definition

{latex}\begin{large}\[\omega = \frac{d{\theta}}{dt}\]\end{large}{latex}

{note}Because we will always deal with 

Because we will always deal with one-dimensional

angular

velocity

(more

specifically,

the

angular

velocity

about

one

chosen

axis

of

rotation

in

any

given

problem),

we

have

dropped

the

vector

arrows

from

the

definition.