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Frequency to Angular Velocity Calculator

Formula

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

$w = 2 \pi f$

Where:

$w$ is the angular frequency (rad/s).
$f$ is the frequency (Hz).

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:

Frequency (f): 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.