The formula to calculate the Angular Velocity (w) is:
\[ w = 2 \pi f \]
Where:
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.
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.