🌀Centripetal Force Calculator
Enter any 3 of force, mass, speed, and radius — the fourth is solved instantly.
Free Centripetal Force Calculator
Working through a circular motion problem? Our free centripetal force calculator solves F = mv²/r instantly. Enter mass, speed, and radius, and get the centripetal force and acceleration immediately — or work backwards to find the missing variable from the other two.
Don't have linear speed? Enter the period, frequency, or angular velocity instead, and the calculator converts it automatically. A live animated diagram shows the object moving in its circular path with the force vector pointing toward the center.
Whether you're studying circular motion for a physics class or checking an orbital mechanics calculation, this tool gives accurate answers with the reasoning shown. No sign-up, no downloads, no limits.
About the Centripetal Force Calculator
Features
Solve for any variable
Enter any three of F, m, v, r to find the fourth.
Centripetal acceleration
a = v²/r computed and shown alongside the force.
Alternative velocity input
Enter period, frequency, or angular velocity instead of linear speed.
Animated diagram
A circular-motion visual that updates with your radius and speed.
Frequently Asked Questions
How does the centripetal force calculator work?
Enter any three of mass, speed, and radius, and it solves for the fourth (force) using F = mv²/r.
Is it free?
Completely free, no sign-up, downloads, or limits.
What is centripetal force?
The net force required to keep an object moving in a circular path, always directed toward the center of the circle.
Can I enter period or frequency instead of speed?
Yes, the calculator converts period, frequency, or angular velocity into linear speed automatically.
Does it show centripetal acceleration too?
Yes, a = v²/r is calculated and displayed alongside the force.
Does it show the steps?
Yes, the formula and substitution with your actual values are shown for every calculation.
What if I enter a radius of zero?
This is flagged as invalid since it produces an undefined (infinite) force.
Does it include a visual?
Yes, an animated diagram shows the object's circular path and the direction of the centripetal force.
Is my data stored?
No; everything runs in your browser and isn't stored or sent anywhere.
Does it work on mobile?
Yes, fully responsive, with the animation scaling to fit the screen.