Variable log saw for coreless rolls

A system for cutting a coreless rolled paper product, the system comprising:

• a master roll of coreless paper product to be cut into end product rolls;
• an indexer for moving the master roll between cut locations;
• a saw comprising a saw blade that articulates between a raised position and a lowered position thereby defining the saw's plunge and the rate of articulation defining the plunge speed;
• an output to communicate with the saw;
• and
• a controller communicatively coupled to the saw, the controller comprising at least one microprocessor and programmed to:
• identify or determine a core offset value for a cut, the cut having a starting point and an ending point;
• identify or determine a throughput rate of the saw;
• identify or determine a first saw plunge speed or a first blade speed;
• identify or determine a second saw plunge speed or a second blade speed;
• and
• at least one user input device communicatively coupled to the controller for uploading one or more of the core offset value, the cut starting point, the cut ending point, the throughput rate of the saw, the first plunge speed, the second plunge speed, or other variables identified to the controller to calculate one or more of the core offset value, the cut starting point, the cut ending point, the throughput rate of the saw, the first plunge speed, or the second plunge speed;
• wherein the controller is programmed to index the coreless master roll to a first cut position, begin articulating the saw at a first plunge speed and at a first blade speed, and to change either the first plunge speed or the first blade speed to a second plunge speed or a second blade speed at the core offset value.