Machines for cutting products and impellers suitable for use with the machines. The impellers include a lower plate having a central zone and paddles configured with the lower plate outside of the central zone to direct material to the cutting head. At least a first exit slot is located in the lower plate, intersecting the perimeter of the lower plate, and extending through the lower plate to define a passageway to enable foreign debris at the upper surface to exit the impeller through the passageway.