Centrifugal Force Calculator (F=mv²/r)

Find centrifugal force F=mv²/r=mrω² from mass, radius and speed (or angular velocity), plus centripetal acceleration, angular velocity and rotation period.

Input

Find the centrifugal force F=mv²/r=mrω² from mass, radius and speed. Choose to enter either linear speed v or angular velocity ω.

Speed input

Mass m (kg)

Radius r (m)

Linear speed v (m/s)

Force is F=mv²/r=mrω² and centripetal acceleration is a=v²/r=rω² with v=rω.

Result

Centrifugal force (magnitude of centripetal force)

Centrifugal force F

21.333333 N

Centripetal acceleration a

10.666667 m/s²

In multiples of g

1.087697 g

Angular velocity ω

2.666667 rad/s

Linear speed v

4 m/s

Rotation period T

2.356194 s

Revolutions per minute

25.464791 rpm

The centripetal force (inward) and the centrifugal force (outward fictitious force) have equal magnitude F=mv²/r=mrω². The g-multiple uses g=9.80665 m/s².

How it works

In uniform circular motion, a mass m moving at speed v on a circle of radius r has a centripetal acceleration directed toward the center: a=v²/r=rω², where ω is the angular velocity in rad/s and v=rω.
Multiplying this acceleration by the mass gives the force magnitude F=ma=mv²/r=mrω². In an inertial frame it is the inward centripetal force; in a rotating frame the same magnitude appears as an outward fictitious force (centrifugal force), so both magnitudes are equal.
The rotation period is T=2π/ω in seconds, and revolutions per minute is rpm=60/T. Using standard gravity g=9.80665 m/s², the tool also shows the acceleration as a multiple of g.
Inputs use SI base units: mass in kg, radius in m, linear speed in m/s and angular velocity in rad/s.

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