A positioning system for positioning a plurality of rotatable objects for processing includes a base plate that is configured to be positioned on a support surface of a processing machine. The base plate defines a plurality of alignment members to align the base plate to the support surface. The positioning system further includes at least three elongate cylindrical members that are arranged in parallel to one another and rotatably supported in alignment with the base plate. The cylindrical members are configured to support the rotatable objects. The positioning system also includes a rotation mechanism configured to cooperate with the cylindrical members and rotate the cylindrical members in synchrony so as to rotate the plurality of rotatable objects in synchrony. The positioning system further includes a rotational control mechanism configured to cooperate with the rotation mechanism to control rotation of the cylindrical members.