# What is the difference between orbital and angular velocity?

## Answer #1

The **angular velocity** \( \boldsymbol{\omega} \) always points in the direction of the rotation axis (i.e. perpendicular to the rotation disk) and does not change its direction during a uniform circular motion. It indicates the angle covered by a mass point of the disk per time. In contrast to the orbital velocity, the angular velocity of a rotating disk is the same for all mass points (of which the disk is composed).

The **orbital velocity** \( \boldsymbol{v} \) on the other hand, is *tangential* to the circular orbit and points in a different direction at every point on the disk (because of the rotation). The orbital velocity is larger the farther away a point of the circular disk is from the axis of rotation. The point which is closer to the axis of rotation must cover a smaller circumference of the circle than a point which is further away from the axis of rotation.

The magnitude \(\omega\) of the angular velocity and the magnitude \( v \) of the orbital velocity are linearly related:

**Formula: Orbital velocity proportional to angular velocity**

Here \( r \) is the perpendicular distance of a point from the axis of rotation.