Angular Speed

Summary

Angular speed describes how fast an object is rotating around a circle

Key Equations:

Angular speed:
$ω = \frac{d θ}{d t}$

If the angular speed is constant:
$ω = \frac{2 π r}{T}$

Read Time

⏱ 1 min

Definition

Angular speed is a scalar quantity and tells you how fast you are rotating around a circle. Mathematically, this is the instantaneous change of angular displacement

ω = \frac{d θ}{d t}

If angular speed is always constant

If angular speed is always constant around a circle, then the angular speed can also be described as the time it takes to loop around a circle with circumference $2 π r$ or

ω = \frac{2 π r}{T}

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