The invention relates to a
tomography device (1), especially an X-
ray computer
tomography device or
ultrasound tomography device, comprising a balancing device (23; 45) for reducing an imbalance (61) that was determined by means of the measuring
system (2) rotating about an axis of rotation (4). The balancing device (23; 45) comprising means mounted on the measuring
system (2) for variably positioning a balancing
mass and a control device (25) acting upon said means and designed in such a manner that the balancing
mass, controlled by the control device (25), can be positioned in a location appropriate to reduce the imbalance (61). The balancing
mass can be configured as a liquid (F) that is positioned in a liquid-tight channel. The invention also relates to a balancing method according to which a mass (m) of a liquid quantity balancing the imbalance (61) is determined and a
magneto- and / or electro-rheological liquid (F) is introduced into an annular channel (31; 71; 81, 83, 85) in such a quantity that for the subsequent operation a quantity of liquid (F) dependent on the determined mass (m) is present in the annular channel (31; 71 81, 83, 85).