MihsabaHow to use
Centripetal force is not a new kind of force; it is the net inward force required for circular motion. It can be calculated from tangential or angular speed, and the equation can be solved for any main variable.
- Choose tangential speed v or angular speed ω/RPM.
- Choose the unknown: force, mass, radius or speed, then SI or imperial units.
- Enter known values and calculate force, centripetal acceleration, tangential speed and angular speed.
How it is calculated
F=mv²/r=mrω²; a=v²/r=ω²r
Example
Example: a 2 kg object moving at 4 m/s on a 0.5 m radius requires 64 N of centripetal force and has 32 m/s² centripetal acceleration.
Important notes
The result is the magnitude of the required inward net force. The real force providing it may be friction, tension, gravity or a normal force. Do not use this calculator alone for safety-critical design.
Frequently asked questions
How are RPM and ω related?
ω in rad/s equals RPM×2π÷60.
Does velocity point toward the center?
Tangential velocity points along the tangent; centripetal acceleration and force point inward.
Is this calculator free?
Yes. It is free to use and requires no account.