The study of the motion of rotating objects, known as kinematics and dynamics, falls under the realm of classical mechanics. This field examines the velocities and accelerations of machine components as a dynamic system, analysing forces resulting from accelerations using the principles of kinetics. Understanding the accelerations of rotating objects is crucial for dealing with gyroscopic problems, as the mass of the spinning disc generates inertial forces. However, the current method for computing the acceleration of a rotating object has been called into question due to discrepancies in the mathematical model. Upon closer analysis, it's evident that the expression for the acceleration of a rotating object is flawed. Existing publications offer only a vague analysis of rotating objects and mathematical models for radial and Coriolis accelerations. The equation for the acceleration of a rotating object yields values that are higher than the actual ones. This discrepancy is the reason why running mechanisms operate without fail, as the computed forces are larger than the real forces at play. Machine parts have been designed and calculated with excessive reliability. This chapter aims to provide an accurate derivation of the mathematical models for radial and Coriolis acceleration. Understanding the acceleration of a spinning object's mass is crucial for grasping gyroscopic effects, a concept that should be clearly explained in physics.