## Centrifugal Force Equation

Centrifugal force – As a mass rotates about an axis, it exerts an outward radial force called centrifugal force on the axis or on any arm or rope coming from the axis to restrict its movement along a straight line (tangent).

### In the following. equations:

F = Wv^{2} / gR

F = mv^{2} / R

#### where

F = centrifugal force in lbs or kg

m = Mass in lbs or kg

W = weight or mass of revolving body in lbs or kg

v = velocity at radius R on body in ft/sec or m/sec

g = acceleration due to gravity = 32.16 ft/ sec/sec

R = perpendicular distance in feet or meters from axis of rotation to center of mass, or for practical use, to center of gravity of revolving body

## Centrifugal Force Definition

Centrifugal force is the inertial force produced by every rotating object. It is only needed in a rotating frame of reference – or in other words, when we are viewing the system from the perspective of a moving object.

According to Newton’s first law, if there is no force acting on an object, it will move in a straight line. In order for rotation to occur, a centrifugal force must be applied that acts outward from the center of rotation.

For example, you can imagine a rock spinning on a rope. Centrifugal force is the force that prevents it from moving towards the center of rotation (i.e. towards your hand).

## Centrifugal force Principle

## Centripetal Force and Centrifugal Force

Comparison Basis | Centrifugal force | Centripetal force |

Definition | Centrifugal force is an outward fictitious force that is experienced by an object moving in a circular path directed away from the center of rotation. | Centripetal force is the force acting on a body moving in a circular path along the radius of the circular path and is directed towards the center of the circle. |

Direction | It is directed away from the center of the circle of rotation. | It is directed towards the center of the circle of rotation. |

Nature | It is considered a fictitious or pseudo force but has real effects. | It is a real force and has real effects. |

Role | Centrifugal force doesn’t have an independent existence. | A circular motion doesn’t exist without centripetal force. |

Equation | F = mv²/r | F = mv²/r |

Origin | The origin of the centrifugal force is due to inertia. | The origin of the centrifugal force is due to the interaction between two objects. |

Action | Centrifugal force acts only in the rotating frame (non-inertial frames). | The centripetal force acts in both inertial and non-inertial frames. |

## Centrifugal Force Applications

Although Newton’s law does not hold centrifugal force to be real, it has various applications: