A multi-head centerless belt grinder for removing material from a workpiece includes a common base and a plurality of grinding heads spaced apart from one another and mounted to the common base. Each grinding head includes a moveable work rest blade, a moveable regulating wheel and a moveable grinding belt positioned by servomotors to centerless grind the workpiece along a common axis of rotation. The grinder is programmable for rapid machine changeover and set-up typically within 2-5 minutes to accommodate a large range of workpiece diameters. This feature results in improved productivity and output as well as greater flexibility for scheduling numerous workpiece diameters within a normal eight-hour work shift. A trough may extend beneath and between each of the grinding heads to more efficiently collect and transfer grinding swarf generated during the grinding process to a filter operable to separate solids within the swarf from coolant.