View source for Centrifugal forces

Written by [[Yuhang Jin]], AP225 2011 Fall.

== Introduction ==

Centrifugal forces are usually referred to as [[fictitious forces]] ([[inertial forces]]) that arise in a [[rotating frame of reference]]. A centrifugal force represents the inertia of a rotating body, and is directed away from the rotating center or rotating axis. This concept can be generalized in [[Lagrangian mechanics]] when [[generalized coordinates]] are in effect. At times centrifugal forces may also denote the [[reaction forces]] in response to [[centripetal forces]].

== General formula of centrifugal forces as inertial forces ==

The connection between velocity in a [[inertial frame of reference]] and that in a frame rotating at an angular velocity of <math>\mathbf\Omega</math> is given as

<math>\frac{d\mathbf r}{dt}=\left(\frac{d\mathbf r}{dt}\right)_r+\mathbf\Omega\times\mathbf r</math>,

i.e.

<math>\mathbf v=\mathbf v'+\mathbf\Omega\times\mathbf r</math>,



== Keyword in references: ==

[[Paper on a disc: balancing the capillary-driven flow with a centrifugal force]]