Share
Explore BrainMass

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.

Solution Preview

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.

$2.19