Abstract: An improved tape wrapping machine is provided which includes a tape slack device for creating a predetermined amount of untensioned slack in the tape web at the end of each cycle of operation to prevent the need for the operator to pull the tape from the supply roll at the beginning of the next taping cycle. The tape slack device includes a slack arm mounted for pivotal movement between tension and slack positions to create the necessary slack without movement of the tape supply roll. A tape feed support/slide and a retractable knife operate to effectively cut the web of tape during each cycle while creating an end portion of the tape for contact by the article during the next taping operation. The knife device is positioned to cut the nonadhesive side of the tape thereby permitting uninterrupted taping operations. A tape wrap collet includes elastomer fingers ensuring the tape conforms to the outer surface of the article thereby creating a tight tape wrap.