Frequency to Angular Velocity Calculator

Calculate Angular Velocity from Frequency

Formula

The formula to calculate the Angular Velocity (w) is:

\[ w = 2 \pi f \]

Where:

What is Angular Velocity?

Angular velocity refers to the rate of change of angular position of a rotating object. It is measured in radians per second (rad/s) and is a crucial concept in physics and engineering, especially in the study of rotational motion.

Example Calculation

Consider an example where the frequency (f) is 50 Hz:

Using the formula to calculate the Angular Velocity:

\[ w = 2 \pi \times 50 \approx 314.16 \text{ rad/s} \]

This means that the angular velocity for this example is approximately 314.16 rad/s.