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.