A machine for cutting products, the machine comprising: a cutting head having an annular shape that defines an axis of the cutting head, and at least one knife oriented axially at an inner circumference of the cutting head, the knife extending radially inward into an interior of the cutting head; and an impeller coaxially mounted within the interior of the cutting head so that an outer circumference thereof is adjacent the inner circumference of the cutting head, the impeller being mounted for rotation within the cutting head about the axis of the cutting head in a rotational direction relative to the cutting head, the impeller comprising a base, a ring spaced axially from the base, an entrance to an interior of the impeller defined by the ring, and means for delivering products within the interior of the impeller toward the inner circumference of the cutting head as the impeller rotates within the cutting head, the impeller having outward radial directions that coincide with radials of the impeller that pass through the axis of the cutting head, the delivering means comprising paddles that are circumferentially spaced within the interior of the impeller between the base and the ring and are sized and configured for delivering and forcing food products in the outward radial directions toward the at least one knife as the impeller rotates within the cutting head, the outer circumference of the impeller having a diameter of greater than 35 centimeters, wherein the delivering means further comprise a stationary feed hopper with a tapered chute that extends downward into the impeller and which directs products downward into the interior of the impeller and then redirects the products radially outward toward the inner circumference of the cutting head. an impeller coaxially mounted within the interior of the cutting head so that an outer circumference thereof is adjacent the inner circumference of the cutting head, the impeller being mounted for rotation within the cutting head about the axis of the cutting head in a rotational direction relative to the cutting head, the impeller comprising a base, a ring spaced axially from the base, an entrance to an interior of the impeller defined by the ring, and means for delivering products within the interior of the impeller toward the inner circumference of the cutting head as the impeller rotates within the cutting head, the impeller having outward radial directions that coincide with radials of the impeller that pass through the axis of the cutting head, the delivering means comprising paddles that are circumferentially spaced within the interior of the impeller between the base and the ring and are sized and configured for delivering and forcing food products in the outward radial directions toward the at least one knife as the impeller rotates within the cutting head, the outer circumference of the impeller having a diameter of greater than 35 centimeters, wherein the delivering means further comprise a stationary feed hopper with a tapered chute that extends downward into the impeller and which directs products downward into the interior of the impeller and then redirects the products radially outward toward the inner circumference of the cutting head.