A CNC machine tool table is powered by a servo motor, lead screw, and optical encoder. The lead screw has a pitch of 5 mm and is connected to the motor shaft with a gear ratio of 16:1 (16 turns of the motor for one turn of the lead screw). The optical encoder is connected directly to the lead screw and generates 200 pulses per revolution of the lead screw. The table must move a distance of 100 mm at a feed rate of 500 mm/min. Determine
(a) pulse count received by the control system to verify that the table has moved exactly 100 mm,
(b) pulse rate, and
(c) motor speed that corresponds to the feed rate of 500 mm/min. If the range of the work table axis is 500 mm and there are 12 bits in the binary register used by the digital controller to sore the position, determine the control resolution.