Physics
Frequency and angular frequency
The same motion described as swings per second and as radians per second.
The Formula
f = 1 / T, and omega = sqrt(g / L)
The same motion described as swings per second and as radians per second.
| Symbol | Meaning | Unit | Notes |
|---|---|---|---|
| f | Frequency | hertz | The number of complete swings per second. |
| omega | Angular frequency | radians per second | The same rate in radians per second. |
| T | Period | seconds | The time for one complete swing. |
What Each Symbol Means
fhertz
Frequency
The number of complete swings per second.
omegaradians per second
Angular frequency
The same rate in radians per second.
Tseconds
Period
The time for one complete swing.
See It Worked With Real Numbers
A formula on its own does not tell you which number goes where. The how to calculate the period of a pendulum 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 The Period Of A Pendulum, filed under Science. Every number the guide produces comes from substituting into this one line.