Physics
Angular frequency
Converts hertz into radians per second for rotational and wave equations.
The Formula
omega = 2 x pi x f
Converts hertz into radians per second for rotational and wave equations.
| Symbol | Meaning | Unit | Notes |
|---|---|---|---|
| omega | Angular frequency | rad/s | Radians per second. |
| f | Frequency | hertz | Cycles per second, in hertz. |
| pi | Pi | unitless | The circle constant, about 3.14159. |
What Each Symbol Means
omegarad/s
Angular frequency
Radians per second.
fhertz
Frequency
Cycles per second, in hertz.
piunitless
Pi
The circle constant, about 3.14159.
See It Worked With Real Numbers
A formula on its own does not tell you which number goes where. The how to calculate frequency 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 Calculate Frequency, filed under Science. Every number the guide produces comes from substituting into this one line.