Consider an object moving from A to B along the circular arc in 1 second.

You can describe its speed as 3.0 cm s^{-1}. This called the **linear velocity** *v*. Or you can describe it as 45° per second, or π/4 rad s^{-1}. This is called the **angular velocity*** ω *(the Greek symbol omega, not the english alphabet double-u). Got it? *v* is distance per unit time whereas *ω* is angular displacement per unit time.

Starting from , we can obtain the formula the relationship between *v* and *ω*.

If the circular motion is repetitive then it has a period *T*. Remember that one revolution corresponds to an angular displacement of 2*π* rad. So we have another useful identity

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**Animation**

Angular Velocity vs Linear Velocity

**Concept Test**

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