Estimate force using either linear speed (F = m·v²/r) or angular speed (F = m·ω²·r).
What is a centrifugal force calculator?
A centrifugal force calculator helps you estimate the apparent outward force experienced by a mass moving in a circular path. In practical terms, this is useful when analyzing rotating systems such as spinning machinery, vehicle turns, centrifuges, amusement rides, and rotating tools.
While physics often describes the inward force as centripetal force, many engineering and everyday contexts use the phrase “centrifugal force” to describe what is felt in the rotating frame. This calculator gives you the force magnitude based on mass, speed, and radius.
Centrifugal force formula
Using linear speed
F = m × v² / r
- F = force (newtons, N)
- m = mass (kilograms, kg)
- v = linear speed (meters per second, m/s)
- r = radius (meters, m)
Using angular speed
F = m × ω² × r
- ω = angular speed (rad/s)
If you have rotation speed in RPM, the calculator converts RPM into rad/s automatically before computing force.
How to use this calculator
- Select your calculation mode: linear speed or angular speed.
- Enter mass and choose its unit.
- Enter radius and choose its unit.
- Enter speed (either linear or angular) and unit.
- Click Calculate Force to get the result in newtons and equivalent g-load.
Worked example
Suppose you want to estimate force on a 2 kg object traveling at 10 m/s around a 0.5 m radius:
F = 2 × 10² / 0.5 = 2 × 100 / 0.5 = 400 N
So the force magnitude is 400 N. The corresponding acceleration is 200 m/s², which is about 20.39 g.
Centrifugal vs. centripetal force (quick clarification)
In an inertial frame, the required real force that keeps an object in circular motion is centripetal and points inward. In a rotating reference frame, centrifugal force appears outward as an inertial effect. The magnitude is the same in many practical calculations, which is why tools like this are widely used in design and safety checks.
Common applications
- Design of rotors, flywheels, and turbines
- Centrifuge balancing and separation systems
- Vehicle cornering and tire load estimation
- Roller coaster and ride safety analysis
- Lab instrumentation and high-speed test rigs
Tips for accurate results
- Use consistent, realistic units and double-check unit selections.
- Measure radius from the exact center of rotation.
- Use average speed only when speed is relatively stable.
- For safety-critical systems, include engineering safety factors.
- Consider dynamic effects (vibration, imbalance, transient loading) in real designs.
FAQ
Is centrifugal force real?
It is a useful apparent force in rotating frames. Whether you call it centrifugal or centripetal depends on your frame of reference, but the computed magnitude is often exactly what engineers need.
Can I use km/h or mph?
Yes. The calculator converts km/h and mph into m/s automatically.
Why does force increase so quickly with speed?
Because force depends on the square of speed (v²). Doubling speed increases force by a factor of four.
What if radius gets smaller?
Force rises as radius decreases, since radius is in the denominator in F = m·v²/r.