Cutting tool for machining a rotating workpiece

A cutting tool (10) for machining a rotating workpiece is described, comprising a cutting face (12) and a rear face (14) which enclose a wedge angle (k) with one another and form a cutting edge (16). The contour of the cutting edge (16) corresponds in the longitudinal direction to the axial profile of the workpiece to be machined. The cutting face (12) encloses a rake angle (s) with a reference plane (18) running through the cutting edge (16). The rear face (14) encloses a clearance angle (f) with a plane (20) which is perpendicular to the reference plane (18) and runs through the cutting edge (16). The rake angle (s) changes in the longitudinal direction of the cutting edge (16). Likewise, the cutting edge (16) can be inclined with regard to the axis of rotation of the workpiece to be machined. In addition, the rake angle (s) can be dependent upon the respective radius of the profile of the workpiece to be machined.