Abstract: An apparatus for accurately positioning the end of a web being wound on a roll at a predetermined angle of the roll. An operator sets up in thumbwheel switches a predetermined number representing the additional angular rotation of the roll after the web has been cut at a winding station in order to have the tail of the roll located at a desired predetermined angle at a second station. As the roll is wound, a sensor responds to an index that rotates in synchronism with the roll to provide a signal indicating that the roll is oriented at a known reference angle. A first pulse source generates pulses wherein each pulse represents a known angle of rotation of the roll as the web is being wound on the core. An electronic counter counts the number of pulses generated by the first pulse source between the occurrence of the signal indicating that the web has been cut and the reference angle signal generated by the winding station sensor.