Centripetal Force Calculator Formula
Understand the math behind the centripetal force calculator. Each variable explained with a worked example.
Formulas Used
Centripetal Force
centripetal_force = mass * pow(velocity, 2) / radiusVariables
| Variable | Description | Default |
|---|---|---|
mass | Mass(kg) | 2 |
velocity | Tangential Velocity(m/s) | 5 |
radius | Radius(m) | 3 |
How It Works
Centripetal Force
An object in circular motion requires a net inward force directed toward the center of the circle.
Formula
F_c = m * v² / r
This force does not do work since it is always perpendicular to velocity.
Worked Example
A 2 kg ball on a 3 m string swings at 5 m/s.
- 01F_c = m * v² / r
- 02F_c = 2 * 25 / 3
- 03F_c = 50 / 3
- 04F_c = 16.667 N
Frequently Asked Questions
Is centripetal force a separate type of force?
No. Centripetal force is the net inward force that keeps an object on a circular path. It can be provided by tension, gravity, friction, or any combination.
What happens if centripetal force is removed?
The object moves in a straight line tangent to the circle at the point of release, following Newton's first law.
How is centripetal force related to centripetal acceleration?
F_c = m * a_c, where a_c = v²/r. The force and acceleration both point toward the center of the circle.
Ready to run the numbers?
Open Centripetal Force Calculator