Abstract: Improvements are provided to improve an apparatus and method for processing a substantially constant velocity flow of a web of material, including a cutting mechanism and a web accumulator upstream of the cutter. The improvements include stopping the web by a side surface of the movable blade and configuring the accumulator dimensions and cutting speed to cause an appropriate level of force between the upstream severed end of the web and the blade. Several features achieve a low cutting time and modify cutting force to cut web regions with different characteristics, such as for cutting through splices. A low inertia rotary solenoid accelerates a blade through the web and against a resilient stop. The blade bounces off of the stop to its spring-biased home position. A permanent magnet or electromagnet holds the blade in the home position as solenoid current develops. These features result in reduced noise and shorter cutting time, thereby allowing an increase in web speed.