Abstract: The invention discloses a tool for grinding and polishing, comprising a drive motor, which has a given machine power (rated input power) and by which a work spindle can be driven about its longitudinal axis in rotatingly oscillating fashion, and further comprising a tool-mounting fixture on the work spindle intended to receive a tool that has a working surface for grinding and polishing operations. The quotient of the working surface (in square millimeters) and the rated power input (in Watts) is at least 35 mm2/W, while the quotient of the working surface and the deadweight (in grams, without the tool) is at least 5.5 mm2/g.