Question

How is angular frequency different from angular velocity? I mean we can tell intuitively what angular velocity is but what's the intuitive explanation of angular frequency??

Answer 1

There is no difference between the two.

Explanation:

Angular frequency `ω`, also called radial or circular frequency, measures angular displacement per unit time. Its units are therefore degrees (or radians) per second.

`ω = 2πf" or " (2pi)/T`
where `f` is frequency of rotation and `T` time period of rotation.

This is also called Angular velocity as compared to the term Velocity used in linear motion.

`"Pure translation (fixed direction)"color (white)(XXX)"Pure rotation (fixed axis)"`
`"Velocity "v = dx/dtcolor (white)(XXXXXXXXX)"Angular velocity "ω= (dθ)/dt`

Other comparable parameters are included in the tables below