A NC machine tool table is powered by a servomotor, lead screw, and optical encoder. The lead screw has a pitch = 5.0 mm and is connected to the motor shaft with a gear ratio of 16:1 (16 turns of the motor for each turn of the lead screw). The optical encoder is connected directly to the lead screw and generates 200 pulses/rev of the lead screw. The table must move a distance = 100 mm at a feed rate = 500 mm/min. Determine
(a) The pulse count received by the control system to verify that the table has moved exactly 100 mm; and
(b) The pulse rate and
(c) Motor speed that correspond to the feed rate of 500 mm/min.