A wheel replacing apparatus includes a partitioning wall including opposite first and second surfaces opposite in a first direction, a motor, a transmission unit, a support extending in a second direction intersecting the first direction, a rotating unit between the support and the transmission unit, an arc-shaped portion connected to the support and having an open inner wall and a shape including a portion of a circle having a central axis extending in a third direction perpendicular to the first and second directions, a roller within the arc-shaped portion, a clamp connector extending from the support in the first direction, and a clamp connected to the clamp connector and having a curved portion. The wheel replacing apparatus is configured to adjust a spacing between the arc-shaped portion and the clamp. The rotating unit is configured to rotate around a rotating unit central axis that extends in the third direction.

A method for clamping a tool on a tool spindle in a hard finishing machine that includes: the tool spindle connected to a drive motor, with a cylindrical receiving seat and a thread, and the tool. The receiving seat is limited at one axial position of the tool spindle by a abutment flange for axial abutment of the tool. A clamping nut can be screwed onto the thread and is designed for axial abutment on the tool. The clamping nut is temporarily held in a rotationally fixed manner when the tool spindle is rotated by the drive motor. The method includes: placing the tool on the receiving seat and screwing the clamping nut onto the thread; blocking the clamping nut against rotation during the rotation of the tool spindle with the drive motor; and actuating the drive motor to tighten the clamping nut so it presses axially against the tool.