Centripetal Force Calculator
Centripetal force and acceleration in circular motion.
Enter your values
Enter the mass in kg.
Enter the speed in m/s.
Enter the radius in m.
Results update instantly as you type — no submit needed. Your values are remembered on this device, and the shareable link reopens the calculator with exactly these numbers.
- Centripetal force
- 8000 N
- Centripetal acceleration
- 8 m/s²
- In g's
- 0.82
Quick answer
Centripetal force F = m x v^2 / r.
F = m v^2 / r
At a glance
| What it does | Centripetal force and acceleration in circular motion. |
|---|---|
| Category | Physics |
| Inputs needed | Mass, Speed, Radius |
| Main output | Centripetal force |
| Formula | F = m v^2 / r |
| Cost | Free — no sign-up, no download |
How to use the Centripetal Force Calculator
- 1Enter the object's mass, speed and the radius of its circular path.
- 2Read the required centripetal force and acceleration.
- 3Compare acceleration in g's to check comfort or structural limits.
Inputs explained
- Mass(kg)
- Enter the mass in kg.
- Speed(m/s)
- Enter the speed in m/s.
- Radius(m)
- Enter the radius in m.
Worked example
Using the values the calculator loads with:
Inputs
- Mass1000 kg
- Speed20 m/s
- Radius50 m
Results
- Centripetal force8000 N
- Centripetal acceleration8 m/s²
- In g's0.82
Frequently asked questions
What provides centripetal force?
It can come from tension, gravity, friction or a normal force, depending on the situation.
Why does a car skid on a tight curve?
If required centripetal force exceeds available tire friction, the car cannot follow the curve.
What do I need to enter into the Centripetal Force Calculator?
Just 3 values: mass, speed, radius. Every field starts with a realistic example, so you can change one number at a time and watch the result update instantly.
How does the Centripetal Force Calculator work out the answer?
Centripetal force F = m x v^2 / r. It applies the formula F = m v^2 / r and shows the working so you can check each step by hand.
Is the Centripetal Force Calculator free, and do I need an account?
It is completely free with no sign-up, no download and no usage limit. Everything is calculated in your browser, so the numbers you type never leave your device.
Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.