In a method of grinding a component such as a cam, a reduction in the finish grinding time is achieved by rotating the component through only a single revolution during a final grinding step and controlling the depth of cut and the component speed of rotation during that single revolution, so as to maintain a substantially constant specific metal removal rate during the final grinding step. The headstock (12) velocity can vary between 2 and 20 rpm during a single revolution of the cam during the final grinding step, with the lower speed used for grinding the flanks and the higher speed used during the grinding of the nose and base of the cam. Using a grinding machine (10) having 17.5 kw of available power for rotating the wheel, and cutting a grinding wheel in the range 80-120 mm diameter, typically the depth of cut lies in the range of 0.25 to 0.5 mm.