Frequency
Hertz and radians per second
One full cycle is two pi radians, so angular frequency is cycle frequency times two pi.
The Formula
rad/s = hertz x 2 pi
One full cycle is two pi radians, so angular frequency is cycle frequency times two pi.
| Symbol | Meaning | Unit | Notes |
|---|---|---|---|
| f | Frequency | number | Cycle frequency in hertz. |
| w | Angular frequency | number | The same rate in radians per second. |
What Each Symbol Means
fnumber
Frequency
Cycle frequency in hertz.
wnumber
Angular frequency
The same rate in radians per second.
See It Worked With Real Numbers
A formula on its own does not tell you which number goes where. The how to convert frequency units page applies this equation to a concrete case, shows every intermediate step, and names the mistakes that produce a wrong answer even when the algebra is right.
Where This Formula Appears
This equation is the working core of How To Convert Frequency Units, filed under Unit Conversion. Every number the guide produces comes from substituting into this one line.