A cooling system for a computed tomography device includes a fan for generating an air stream and a fan housing； first flow duct for guiding the air stream is formed in the fan housing and relatively widens out in a direction of flow of the air stream； and an annular frame for accommodating a rotational bearing. A rotating frame of the computed tomography device is connectable to the annular frame and is mounted rotatably relative to the annular frame about an axis of rotation. An annular second flow duct for guiding the air stream is formed in the annular frame and the fan is attached to the annular frame via the fan housing such that the fan is arranged outside the annular frame and the air stream is guided via the first flow duct from the fan to the annular second flow duct.
