Centripetal Force Calculator

Kaava

How this is calculated

An object moving in a circle of radius r at constant speed v is constantly accelerating toward the centre. This centripetal acceleration is a = v²/r, and by Newton’s second law the inward (centripetal) force required is F = m·a = m·v²/r, where m is the mass in kilograms. The calculator also reports the angular speed ω = v/r in radians per second.

Enter any three of the four quantities — force F (N), mass m (kg), speed v (m/s), radius r (m) — and leave one blank to solve for it. Rearranging the formula gives m = F·r/v², v = √(F·r/m), and r = m·v²/F. Speed must give a non-negative value under the square root, and radius and mass must be non-zero where they appear in a denominator.

The model assumes uniform circular motion (constant speed) and a point mass, so the net force is purely centripetal with no tangential component. Real systems may also involve gravity, friction, or banking; this calculator isolates the centripetal requirement only. All inputs use SI units, so results are in newtons, metres per second squared, and radians per second.