When to use this calculator
Even at constant speed, circular motion requires acceleration because the velocity direction continually changes.
Explore the motion & kinematics calculators for other questions in this topic. For a related calculation, use the Centripetal Force Calculator: Find net inward force needed for uniform circular motion.
PUTTING IT INTO PRACTICE
Centripetal Acceleration: a worked example
The values below are an illustrative example, not a recommendation. Replace them with measurements or assumptions that match your question.
| Input | Example value |
|---|---|
| Tangential speed (m/s) | 10 |
| Radius (m) | 5 |
| Result | 20 m/s² |
- Check the input labels and enter the example values above.
- Apply the relationship: Acceleration = speed²/radius.
- The result is 20 m/s², rounded for display.
How to interpret your result
Direction points towards the centre of the circular path.
Choose a reference direction before using signed velocities. Constant-acceleration models do not capture variable braking or drag. Projectile tools explicitly state launch and landing assumptions.
Frequently asked questions
Are displacement and distance interchangeable?
No. Displacement is the signed or directed change in position; distance counts the length of the path travelled.
When is the centripetal acceleration calculator useful?
Even at constant speed, circular motion requires acceleration because the velocity direction continually changes.
How do I use the centripetal acceleration calculator?
Enter tangential speed (m/s), radius (m). The result updates automatically. Use the units shown beside each input; the example values illustrate the method.
Which formula does this calculator use?
Acceleration = speed²/radius.
What should I check before using the result?
Direction points towards the centre of the circular path.
How are results rounded?
Scalar numbers display up to six decimal places, with scientific notation for very large or small values. Text, fraction, date and schedule outputs use the format described on the tool. Intermediate calculations use JavaScript floating-point arithmetic. Keep sensible precision for your measurements.
Calculators Map editorial process · Updated · Methods and limitations