A body is in pure rotation and $\omega =\frac{\text{v}}{\text{r}}$

$\omega$ is 0 for all particles

$\omega$is independent of r

The particle at larger distance from the axis has smaller angular velocity

 $\omega \text{\hspace{0.17em}is\hspace{0.17em}}\infty$For the particles that are closer to axis of rotation