7.8 A stepper motor with 60 step angles is coupled to a leadscrew through a gear reduction of 3:1 (three rotations of the motor for each rotation of the leadscrew). The leadscrew has 2.5 threads/cm. The worktable driven by the leadscrew must move a distance = 80.0 cm at a feed rate = 100 cm/min. Determine (a) the number of pulses required to move the table, (b) required motor speed, and (c) pulse rate to achieve the desired table speed. 7.20 Stepper motors are used to drive the two axes of a component placement machine used for electronic assembly. A printed circuit board is mounted on the table and must be positioned accurately for reliable insertion of components into the board. Range of each axis = 700 mm. The leadscrew used to drive each of the two axes has a pitch of 3.0 mm. The inherent mechanical errors in table positioning can be characterized by a normal distribution with standard deviation = 0.005 mm. If the required accuracy for the table is 0.04 mm, determine (a) the number of step angles that the stepper motor must have, and (b) how many bits are required in the control memory for each axis to uniquely identify each control position