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Centripetal Acceleration Calculator — result sheet
Calculate inward acceleration and angular speed for circular motion from speed and radius.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Centripetal acceleration=speed²/radius; angular speed=speed/radius.
The inward acceleration grows with the square of speed and decreases with a larger circular path.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Tangential speed — m/s; minimum 0; maximum 1000000000000
- Radius — m; minimum 1.0E-6; maximum 1000000000000
Worked example
| Input | Value |
|---|---|
| Tangential speed | 20 |
| Radius | 5 |
Centripetal acceleration =80 m/s²; angular speed =4 rad/s.
Assumptions and limits
- Motion is circular with constant radius and instantaneous speed.
- Speed and radius use compatible units.
- Tangential acceleration, friction, and vehicle stability are not modeled.
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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