Centripetal Acceleration Calculator
For constant-speed circular motion, acceleration points toward the centre and depends on speed squared divided by radius.
How to use this calculator
- Enter speed in metres per second, path radius and mass.
- Check that every input uses the stated units and covers the same period, population or project scope.
- Change one assumption at a time when comparing scenarios.
Formula used by centripetal acceleration calculator
aᶜ = v²/r; Fᶜ = maᶜ
- aᶜ = v²/r; Fᶜ = maᶜ
- The model represents circular motion at constant speed and does not calculate tangential acceleration.
- Inputs are validated against the tool-specific constraints; displayed results are rounded for readability.
Worked examples
Worked example
A 12 m/s motion around a four-metre radius has centripetal acceleration of 36 m/s².
The tool calculates inward acceleration and force for the mass entered.
The tool calculates inward acceleration and force for the mass entered.
Understanding the result
For constant-speed circular motion, acceleration points toward the centre and depends on speed squared divided by radius.
The model represents circular motion at constant speed and does not calculate tangential acceleration.
Important notes
The model represents circular motion at constant speed and does not calculate tangential acceleration.
Treat the result as an estimate for the assumptions entered; verify important specifications against the relevant source or professional guidance.
Frequently asked questions
What direction is centripetal acceleration?
Toward the centre of the circular path.
Does the object need a physical centre or pivot?
No, but a real system needs a net inward force to follow the specified path.
How should I use this result?
Enter speed in metres per second, path radius and mass.
Related calculators
- Centripetal Force Calculator — Calculate the inward force and acceleration needed for circular motion from mass, speed and radius.
- Buoyancy Force Calculator — Estimate the upward buoyant force from the density and volume of displaced fluid.
- Buoyant Force Calculator — Estimate buoyant force from fluid density and displaced volume, then compare it with an object’s weight.
- Force Calculator — Calculate force from mass and acceleration.
- Kinetic Friction Force Calculator — Estimate kinetic friction force from mass, coefficient of friction and gravitational acceleration on a level surface.
- Spring Force Calculator — Calculate ideal spring force magnitude from a spring constant and displacement using Hooke’s law.
Related explanations
Learn the method behind the number or compare the terminology before using the calculator.
- Body Mass Index (BMI) — Understand BMI, its formula, and why BMI is a screening measure rather than a complete measure of health.
This page provides a calculation tool plus explanatory information so you can understand what the result means and when the underlying method may not fit your situation.