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# Coriolis and Centrifugal forces - explanation

Describe the Coriolis and Centrifugal force and how to derive them. Give examples of where their effects can be seen.

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CORIOLIS & CENTRIFUGAL FORCES
The Coriolis and Centrifugal forces are fictitious forces arising from considering motion in an accelerating frame of reference. They are proportional to mass and are given by: -2m(w×v) and -mw× (w×r) respectively, where w is the angular frequency, m the mass, v the velocity, r the radius and x denotes the cross product.

They can be derived from the following argument. Consider a vector r0 in a frame S0 given by xex+yey+zez=r and a frame S rotating at an angular frequency of w. In S the actual velocity and acceleration are obtained by differentiating r0 with respect to t, giving v0= v + w×r and ...

#### Solution Summary

The Coriolis and Centrifugal forces are fictitious forces arising from considering motion in an accelerating frame of reference. They are proportional to mass and are given by: -2m(w×v) and -mw× (w×r) respectively, where w is the angular frequency, m the mass, v the velocity, r the radius and x denotes the cross product.

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