Abstract: In the high speed rewinder of the present invention a parent roll of paper unwinds from a back-stand to feed a wide web of paper to a perforator, web separator, core-feeder and log rewinder. The perforator includes a stationary ledger blade and a rotating knife-blade roll which cut lines of perforations across the web. The web separator includes a pair of operatively opposed rolls rotating in synchronism, one of which has a spiral groove therein and the other of which has means arranged to force the web of paper into the groove to tear the web within the groove. A secondary winder roll is disposed in spaced relation to the first winder roll. The secondary winder roll can be slowed down to cause the core to advance between the first and second winder roll. A diameter control means is disposed near the secondary winder roll to limit the outer diameter of the finished log of paper.