The positioning table for a component insertion machine uses a stepping motor and lead screw mechanism. The design specifications require a table speed of 0.4 m/s and an accuracy = 0.02 mm. The pitch of the lead screw = 5.0 mm, and the gear ratio = 2:1 (2 turns of the motor for each turn of the lead screw). The mechanical errors in the motor, gear box, lead screw, and table connection are characterized by a normal distribution with standard deviation = 0.0025 mm. Determine
(a) The minimum number of step angles in the stepping motor and
(b) Frequency of the pulse train required to drive the table at the desired maximum speed.