A balancing system for use with a rotating member disposed in a stationary housing is configured for mounting to the stationary housing, and includes a first inclinometer and at least one processor. The first inclinometer is configured to provide inclination information at a first frequency, and to provide vibration information at a second frequency. The second frequency is higher than the first frequency. The at least one processor is operably coupled to the first inclinometer to acquire the vibration information. The at least one processor is configured to determine a state of balance of the rotating member using the vibration information but not the inclination information.