Calculadora de Força Centrípeta
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
F_c = m·v²/r
About this calculator
The Centripetal Force Calculator determines the force required to keep an object in uniform circular motion. The centripetal force is calculated using the formula F_c = m·v²/r, where m is the mass, v is the tangential speed, and r is the radius. This force always points toward the center of the circle, changing the direction of velocity without altering its magnitude.
To use the calculator, input the values for mass, speed, and radius. The result is given in newtons (N). This tool is useful for analyzing curves on roads, satellite motion, Ferris wheel rotation, or any scenario involving circular paths. Note that the formula assumes uniform circular motion, meaning constant speed.
Important precautions: ensure units are consistent (kg, m/s, m). If speed or radius are very small, the force may be negligible. In real situations, like car turns, centripetal force is provided by tire friction; if friction is insufficient, the vehicle skids. The calculator does not account for additional forces like friction or gravity, only the centripetal component.
Frequently asked questions
What happens if the speed is too high for a given radius?
The required centripetal force increases with the square of the speed. If the available force (friction, tension, etc.) is less than calculated, the object cannot maintain the circular path and moves outward.
Can I use this calculator for non-uniform circular motion?
No, the formula F_c = m·v²/r is only valid for uniform circular motion (constant speed). For variable speed, the instantaneous centripetal force is still m·v²/r, but there is also a tangential component.
What is the difference between centripetal and centrifugal force?
Centripetal force is a real force pointing toward the center. Centrifugal force is a pseudoforce that appears in non-inertial reference frames, pointing outward. The calculator deals only with real centripetal force.
How do I convert units to use the calculator?
Mass must be in kg, speed in m/s, and radius in m. If you have values in other units, convert first: 1 km/h = 0.2778 m/s; 1 g = 0.001 kg; 1 cm = 0.01 m.