The present invention relates to a rotary cutting apparatus for cutting a web of material, including a cutting unit rotatably mounted on a support, a rotary cutter rotatably disposed in the cutting unit, the rotary cutter having a longitudinal axis, and at least one cutting edge disposed on the rotary cutter, wherein the at least one cutting edge is orientated at an angle to the longitudinal axis of the cutter. The cutting unit being counter orientated to the feed direction of the web by an adjustable angle equal to the cutting edge angle, less than the cutting edge angle or greater than the cutting edge angle.