Assignment:
A de servomotor drives the x-axis of an NC milling machine table. The motor is coupled directly to the table leadscrew, whose pitch = 6.25 mm. An optical encoder is connected to the leadscrew using a 1:5 gear ratio (one turn of the leadscrew converts to 5 turns of the encoder disk).The optical encoder emits 125 pulses per revolution. To execute a certain programmed instruction, the table must move from point (x = 87.5 mm, y = 35.0) to point (x = 25.0 mm, y = 180.0 mm) in a straight-line trajectory at a feed rate = 200 mm/min. Determine (a) the control resolution of the system for the x-axis, (b) the rotational speed of the motor, and (c) the frequency of the pulse train emitted by the optical encoder at the desired feed rate.
Provide complete and step by step solution for the question and show calculations and use formulas.