When to use this calculator
Tension, gravity, friction or several forces together can supply the inward force.
Explore the motion & kinematics calculators for other questions in this topic. For a related calculation, use the Constant Acceleration Distance Calculator: Find displacement from initial velocity, time and constant acceleration.
PUTTING IT INTO PRACTICE
Centripetal Force: 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 |
|---|---|
| Mass (kg) | 2 |
| Tangential speed (m/s) | 10 |
| Radius (m) | 5 |
| Result | 40 N |
- Check the input labels and enter the example values above.
- Apply the relationship: Force = mass × speed²/radius.
- The result is 40 N, rounded for display.
How to interpret your result
Centripetal force names the inward net force, rather than an additional separate force.
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 force calculator useful?
Tension, gravity, friction or several forces together can supply the inward force.
How do I use the centripetal force calculator?
Enter mass (kg), 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?
Force = mass × speed²/radius.
What should I check before using the result?
Centripetal force names the inward net force, rather than an additional separate force.
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.
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