The person must counter act his balance on the curves to stand up during a curve of the train ride, a centripetal force is applied to/by the individual that keeps the person moving in a circular path. If the person were to let go, he or she would travel in a straight line (if gravity were absent). In general, the centripetal force that needs to be applied to an object of mass m that is traveling in a circular path of radius r at a constant velocity v is mv2/rOften, centripetal force is confused with centrifugal force. While centripetal force is a real force,-that is, the force is due to the influence of some object or field-centrifugal force is a fictitious force. A fictitious force is present only when a system is examined from an accelerating frame of reference. If the same system is examined from a non-accelerating frame of reference, all the fictitious forces disappear. For example, a person on a rotating merry-go-round would experience a centrifugal force that pulls away from the center of the ride. The person experiences this force only because he or she is on the rotating merry-go-round, which is an accelerating frame of reference. If the same system is analyzed from the sidewalk next to the merry-go-round, which is a non-accelerating frame of reference, there is no centrifugal force. The individual on the sidewalk would only note the centripetal force that keeps the individual moving in a circular path. In general, real forces are present regardless of whether the reference frame used is accelerating or not accelerating; fictitious forces are present only in an accelerating frame of reference.
Forwards or backwards the train rider does not experience any centrifugal force when the train is on a straight stretch of track. Centrifugal is only felt when rounding a curve. It has no value as a force to apply forward motion to a radial or straight moving mass. IMO what is changing when the person changes direction is kinetic force. CF is based on speed of train and radius of curve. The passanger is part of the moving train and he motions are related to said train, I find it hard to believe that CF will show a change in regards his direction, providing the train maintains speed and curve of track.
I do not believe that Bessler's wheels used CF for motivation other than to possibly assist in weight movement which would be canceled by the centripetal force on the opposing side.
If the passanger attempts to move from one side of the train to the other while rounding a curve, then CF will play a more major role, he will find himself applying more or less centripetal force depending upon moving in or out of the curvature. If train is traveling on staight track once again neither apply.
"Centripetal Force," Microsoft(R) Encarta(R) 97 Encyclopedia. (c) 1993-1996 Microsoft Corporation. All rights reserved.
Ralph