Inertia forces in the rotating frame (then rotation rate depends on the radius)

[valwebnik]

The problem: let us suppose we have some laboratory frame K, and frame K_rot which is rotating with the angular rate depending on R - distatnce to the 0.
Question: where I could find the way, how to get the expression for the inertia forces (like Centrifugal force and Coriolis one for the case of constant angulat rate).

[swansont]

Not sure what you mean by inertia forces. These are pseudoforces, only appearing because you are not in an inertial frame.

The Coriolis force is -2m w X v

Centrifugal/centripetal would be mw²r