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. Solve the problem assuming the optical encoder is directly coupled to the motor shaft rather than to the lead screw.
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. Solve the problem assuming the optical encoder is directly coupled to the motor shaft rather than to the lead screw.
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