A balancing system 100 for use with a rotating member 20 disposed in a stationary housing 10 is configured for mounting to the stationary housing 10, and includes a first inclinometer 110 and at least one processor 150. The first inclinometer 110 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 150 is operably coupled to the first inclinometer 110 to acquire the vibration information. The at least one processor 150 is configured to determine a state of balance of the rotating member 20 using the vibration information but not the inclination information.