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Uniform Circular Motion Calculator — result sheet
Calculate tangential speed and centripetal acceleration from radius and period.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Tangential speed v = 2πr/T; centripetal acceleration a = v²/r = 4π²r/T².
One complete revolution covers the circumference in the selected period, and the resulting speed determines the inward acceleration magnitude.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Radius — m; minimum 1.0E-6; maximum 1000000
- Period — s; minimum 1.0E-6; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Radius | 2 |
| Period | 4 |
Speed = π m/s; centripetal acceleration = π²/2 m/s².
Assumptions and limits
- Radius and period are positive SI quantities.
- Motion is uniform on a circular path with no speed variation.
- Forces, mass, angular displacement, and orbital stability are not inferred.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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