By Zencalcy Editorial TeamLast reviewed About us
An object in uniform circular motion repeats its path at a fixed interval called the period. The period equals the circumference divided by the speed, so a wider circle or a slower object takes longer to complete one lap.
Time for one orbit from radius and speed.
T = 2π r / v
T is the period in seconds, r the radius in metres and v the tangential speed in m/s. Frequency is the reciprocal: f = 1/T.
| Symbol | Meaning |
|---|---|
| T | Period for one revolution, in seconds. |
| r | Radius of the circular path, in metres. |
| v | Tangential speed, in m/s. |
The circumference is 2π × 10 = 62.83 m, so one lap takes 62.83 / 5 = 12.57 s. The frequency is 1 / 12.57 = 0.0796 Hz.
Continue with the Angular Momentum Conservation Calculator, Moment of Inertia Calculator, or the Physical Pendulum Calculator — or browse more rotational and periodic motion tools and all physics calculators.
No. For a given radius and speed, the period is purely geometric. Mass only affects how much force is needed to maintain the path.
Results are computed from the standard equations of classical mechanics. Unit conversions use the SI definitions published by NIST. Air resistance is ignored unless the calculator names a drag model.
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Last reviewed: September 2026. See how we build and check every tool on the about page.
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Content updated: September 2026