I wonder how would we go about to calculate centripetal/centrifugal acceleration for relativistic objects moving at near the speed of light , do we use the original acceleration = force/mass, or input gamma factor for it to be , Acceleration = (gamma) force / mass , Acceleration = Force / (gamma) mass Which one is valid ? If both aren't is there a particular way and/or equation to calculate centripetal and centrifugal acceleration for relativistic objects ? How ?
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Swinging a rest-mass M tied to a rope around:
Force measured at that end of the rope to which the mass is tied: $F_2 = \gamma^2*M*a$
Force measured at that end of the rope that is the opposite end to which the mass is tied: $F_1 = \gamma*M*a$
$a$ is the velocity change of mass M per unit of time measured by a clock at the center of the circle formed by the path of the mass M.
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