Physics
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Centrifugal Force Calculator.
Calculate the magnitude of the rotating-frame centrifugal force.
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Results update as you type.
Results update automatically as you type.
This page applies only the stated idealized equation and explicit inputs; verify specialized engineering, medical, or safety decisions against applicable standards.
Use Cases
Engineering design of rotating machinery
Engineers can estimate the centrifugal force acting on components in rotating systems like turbines, centrifuges, or wheels to ensure structural integrity and balance.
Example: Calculate the force on a 2 kg rotor blade tip moving at 50 m/s with a radius of 0.5 m.
Physics education and experiments
Students and educators can quickly compute centrifugal force values for classroom demonstrations or lab exercises involving circular motion.
Example: Find the force on a 0.1 kg mass swung at 10 m/s with a 1 m radius.
Frequently Asked Questions
- What is centrifugal force?
- Centrifugal force is an apparent force that acts outward on a mass moving in a circular path when observed from a rotating reference frame. It is not a real force but arises due to inertia. Its magnitude is calculated as mass times tangential speed squared divided by rotation radius.
- How do I use this calculator?
- Enter the mass in kilograms, the tangential speed in meters per second, and the rotation radius in meters. The calculator will compute the centrifugal force magnitude using the formula F = m * v^2 / r. Ensure all inputs are in the specified units.
- What are the units of the result?
- The result is in newtons (N), which is the SI unit of force. This is derived from kg * (m/s)^2 / m = kg * m/s^2 = N.
Tips & Common Mistakes
Tips
- Ensure mass is in kilograms, speed in meters per second, and radius in meters to get force in newtons.
- Remember that centrifugal force is an apparent force in a rotating frame; in an inertial frame, the real force is centripetal.
- Double-check your radius measurement: it should be the distance from the rotation axis to the center of mass.
- For high-speed or small-radius scenarios, the force can be large; verify your inputs for accuracy.
Common Mistakes to Avoid
- Using diameter instead of radius: the radius is half the diameter, so using the full diameter will give a force half the correct value.
- Mixing units, such as using grams for mass or km/h for speed, without converting to kg and m/s.
- Forgetting to square the tangential speed: the formula requires v^2, so missing the square will drastically underestimate the force.
Last updated: August 13, 2026