Several small diameter short width rolls (124) of plastic film (108) are wound from a larger width and length of plastic web in a continuous manner. The disclosed apparatus slits the larger width plastic web into several narrower width plastic webs, positions the slit webs on a single large diameter winding drum (110) and then winds each narrower width web at a separate winding turret (112, 114). At each turret, the plastic web is rolled around a first mandrel until the roll achieves the desired size. Then, a second mandrel contacts, the plastic web and the plastic web is severed between the first mandrel and second mandrel and attached to a second mandrel to be rolled into a roll of desired length. The process is repeated at each turret such that the several plastic webs are simultaneously wound in a continuous fashion.