The formula to convert angular velocity (\( \omega \)) to frequency (f) is:
\[ f = \frac{\omega}{2\pi} \]
Where:
Angular velocity, often represented by the Greek letter omega (\( \omega \)), is a measure of the rate of rotation. It is defined as the angle rotated per unit of time and is usually measured in radians per second (rad/s). In the context of circular motion, angular velocity corresponds to the number of radians that a rotating object covers in one second.
Frequency is the number of occurrences of a repeating event per unit of time. In the context of wave motion, it is the number of waves that pass a fixed point in unit time and is measured in hertz (Hz), which is equivalent to one event per second. Frequency is directly related to the angular velocity of a wave.
Let's assume the following value:
Using the formula:
\[ f = \frac{6.28}{2\pi} = 1 \, \text{Hz} \]
The frequency (f) is 1 Hz.