A DC servomotor drives the y-axis of a NC milling machine table. The motor is coupled to the table lead screw with a gear reduction of 2:1 (two turns of the motor shaft for each single rotation of the lead screw). There are 2 threads/cm in the lead screw. An optical encoder is directly connected to the lead screw (1:1 gear ratio). The optical encoder emits 100 pulses per revolution. To execute a certain programmed instruction, the table must move from point (x = 25.0 mm, y = 28.0) to point (x = 155.0 mm, y = 275.0 mm) in a straight-line trajectory at a feed rate = 200 mm/min. For the y-axis only, determine:
(a) the control resolution of the mechanical system,
(b) rotational speed of the motor, and
(c) frequency of the pulse train emitted by the optical encoder at the desired feed rate