Assignment:
A NC machine tool table is powered by a servomotor, Ieadscrew, and optical encoder. The leadscrew 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 Ieadscrew).The optical encoder is connected directly to the leadscrew and generates 200 pulses/rev of the leadscrew. 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.
Provide complete and step by step solution for the question and show calculations and use formulas.