Abstract: A balancing system for the determination of unbalance in rotating bodies in which noise problems are reduced by the formation of average values of the vibration signals generated by the rotating bodies, each average value corresponding to each of a number of angular positions of the rotating body. Transducers are used to convert the mechanical vibration of a rotating body to an electrical signal which is then periodically sampled with the value of the sample being stored in a memory cell. The samples for each revolution are then used to form either an average value or an exponential average value. The average values so obtained have a relatively high signal to noise ratio.