Device for the reversible transfer of linear motion into rotational motion and for the conversion of rotational motion into electrical energy and vice versa. The device comprises a central rail and a support element which surrounds the central rail or is being surrounded by the central rail, the support element being positioned so as to be capable of performing a linear motion relative to the central rail in the longitudinal direction of the central rail. A number of rolling bodies which are in contact with the central rail are rotationally mounted in the support element. The rolling bodies rotate during the linear motion of the support element relative to the central rail in conjunction with the central rail. The linear motion is also connected to the drive or output of an electric machine. The elastically preloaded rolling bodies are arranged so that the central rail is essentially mounted with zero clearance under pressure, whereby the preload forces cancel each other out and are produced by elastically deformed retaining brackets on the support element. The rotations of at least one rolling body form the drive or output of the electric machine.