Linear Velocity to Angular Velocity Calculator

Formula

The formula to calculate Angular Velocity (AV) from Linear Velocity (LV) is:

\[ \text{AV} = \frac{\text{LV}}{\text{R}} \]

Where:

\( \text{AV} \) is the Angular Velocity (rad/s)
\( \text{LV} \) is the Linear Velocity (m/s)
\( \text{R} \) is the Radius of Rotation (m)

What is Angular Velocity?

Angular velocity is a measure of the rate of rotation of an object around a particular axis. It is expressed in radians per second (rad/s) and represents how fast an object is rotating.

Example Calculation

Let's consider an example:

Linear Velocity (LV): 10 m/s
Radius of Rotation (R): 2 meters

Using the formula to calculate the Angular Velocity:

\[ \text{AV} = \frac{10}{2} = 5 \, \text{rad/s} \]

This demonstrates that with a linear velocity of 10 m/s and a radius of rotation of 2 meters, the angular velocity would be 5 rad/s.