Math and Science
Centripetal Force Calculator
Centripetal Force Calculator calculate centripetal acceleration, inward force, angular speed, and orbital period from mass, tangential speed, and radius.
Math and Science
Centripetal Force Calculator
Calculate centripetal acceleration, inward force, angular speed, and orbital period from mass, tangential speed, and radius.
Formula
a_c=v^2/r; F_c=m v^2/r.
About the Centripetal Force Calculator
Calculate centripetal acceleration, inward force, angular speed, and orbital period from mass, tangential speed, and radius. This tool keeps the requested measurements separate and applies the named method instead of substituting an unrelated general estimate.
How the Centripetal Force Calculator Works
Tangential speed divided by radius gives angular speed, while the circular path length divided by speed gives period.
Formula
a_c=v^2/r; F_c=m v^2/r.
The calculation runs in your browser. Values are validated for required ranges, compatible units, and method-specific restrictions before results are displayed.
Required Inputs
- Mass (required) - enter in kg.
- Tangential speed (required) - enter in m/s.
- Path radius (required) - enter in m.
Results Reported
The result panel reports the final answer and the intermediate quantities needed to check the calculation:
- Centripetal acceleration (m/s2)
- Centripetal force (N)
- Angular speed (rad/s)
- Revolution period (s)
- Rotational speed (rpm)
Centripetal Force Calculator Example
Select Example Data in the calculator to load this reproducible input set:
| Input | Example value |
|---|---|
| Mass | 2 kg |
| Tangential speed | 12 m/s |
| Path radius | 3 m |
How to Use the Calculator
- Confirm that the calculator title and formula match the quantity you need.
- Enter every required value using the unit shown with its field.
- Select Example Data to inspect a valid input set, or enter your own values and select Calculate.
- Review all reported values and the displayed formula before using the answer.
- Use Copy Result or Download CSV when you need a reusable record.
Accuracy and Limitations
The result describes uniform circular motion and net inward force. It does not identify which physical interaction supplies that force.
Keep units consistent, use measurements that represent the actual situation, retain full precision during the calculation, and round only the final answer. Professional decisions may require current official rules, field measurements, laboratory methods, or specialist review.
Frequently Asked Questions
What does the Centripetal Force Calculator calculate?
Calculate centripetal acceleration, inward force, angular speed, and orbital period from mass, tangential speed, and radius.
Which formula does the Centripetal Force Calculator use?
a_c=v^2/r; F_c=m v^2/r. Tangential speed divided by radius gives angular speed, while the circular path length divided by speed gives period.
How should I use the Centripetal Force Calculator result?
The result describes uniform circular motion and net inward force. It does not identify which physical interaction supplies that force.