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Centripetal Force Calculator — Solve Force, Mass, Speed or Radius + RPM

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Solve for Choose the missing quantity.Speed is known as Choose how rotational speed is supplied.Mass Mass of the moving object.Mass unit Used for known mass or the solved mass result.Radius Distance from the rotation axis/center of curvature to the moving object.Radius unit Used for known radius or the solved radius result.Force unit Used for known force or the solved force result.Tangential speed Linear speed tangent to the circular path.Tangential speed unit Used for linear-speed input or the solved tangential-speed result.

Calculated result

40 N

Centripetal force: 40 N = 0.04 kN

Centripetal acceleration: 20 m/s² = 2.039432 g

Tangential speed: 10 m/s = 36 km/h

Angular speed: 2 rad/s = 19.098593 RPM

Period: 3.14159265 s/revolution

Direction: centripetal acceleration and net radial force point inward; tangential velocity is perpendicular to the radius.

Speed sensitivity at the same mass and radius

Speed multiplier	Tangential speed	Acceleration	Required force
0.5×	5 m/s	5 m/s²	10 N
1×	10 m/s	20 m/s²	40 N
2×	20 m/s	80 m/s²	160 N

Show the working

1. Normalize: m = 2 kg; v = 10 m/s; r = 5 m.
2. F₍c₎ = mv²/r = 2 × 10² ÷ 5 = 40 N.

This is the required net inward/radial force for the entered circular-motion state. Identify the real force or force combination supplying it before applying the result to a physical system.

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