Angular velocity formulas

This angular velocity calculator uses two different angular velocity formulas depending on your input parameters.

The first angular velocity equation is analogous to the equation for linear velocity:

The ** first angular velocity** equation is analogous to the equation for linear velocity:

\[w =\frac{a_{2} - a_{1}}{t} \]

We can derive the second angular velocity formula from the relation of the linear velocity and the radius using the cross product, which is:

\[\overrightarrow{v} = \overrightarrow{w} \times \overrightarrow{r} \]