Mechanics
Oscillation Period Of A Mass On A Spring
The time for one full oscillation, independent of how far the mass was pulled back.
The Formula
T = 2 pi x sqrt(m / k)
The time for one full oscillation, independent of how far the mass was pulled back.
| Symbol | Meaning | Unit | Notes |
|---|---|---|---|
| T | Period | — | Time for one complete cycle, in seconds. |
| m | Attached mass | — | Mass hung on the spring, in kilograms. |
| k | Spring constant | — | Stiffness of the spring, in newtons per metre. |
What Each Symbol Means
T
Period
Time for one complete cycle, in seconds.
m
Attached mass
Mass hung on the spring, in kilograms.
k
Spring constant
Stiffness of the spring, in newtons per metre.
See It Worked With Real Numbers
A formula on its own does not tell you which number goes where. The how to calculate a spring force 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 A Spring Force, filed under Science. Every number the guide produces comes from substituting into this one line.