A system of rollers and guides that adjust a wrap angle of tape around a guide in a tape cartridge. The system of rollers is an outer guide and an inner roller connected to a spindle via rigid arms. The tape extends around the reel and around a portion of the outer diameter of the outer guide. The inner roller rolls against the tape pack as the tape is wound or unwound around the reel. As the radius of the tape pack changes, position of the inner roller relative to the reel changes, causing the spindle to rotate. In turn, the rotation of the spindle causes a change in the position of the outer guide relative to the reel. As outer guide moves inwardly or outwardly relative to the reel, the wrap angle of the tape around the outer guide changes.