🎬The centrifugal force depends only on the particle's perpendicular distance in a rotating reference

The centrifugal force ( $F_c$) in a rotating system is fundamentally determined only by the particle's radial distance from the axis of rotation ( $\omega$ ), not its height along that axis ( Y ). Because the force acts strictly radially outward, its magnitude remains constant as long as the particle's radial separation is fixed (like the r=2.0 radius in the demo), regardless of its vertical position. Consequently, the force only truly vanishes when the particle is pulled all the way onto the axis, making the radial distance zero.

Tensor Form of the Centrifugal Force in Rotating Frames | Proof and Derivationviadean on Notion