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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. |
Mathematical Definition
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*angular velocity* is {excerpt}the change in [angular position] with time, the angular analogue of linear [velocity]. {excerpt} It is a [vector], having both magnitude and direction, and is usually represented by the small Greek letter omega, *ω*. {latex}\begin{large}\[\vec{\omega} = \frac{d{\theta}}{dt}\]\end{large}{latex} |
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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. |