1. The worktable of a positioning system is driven by a ball screw whose pitch = 10.0 mm. The screw is connected to the output shaft of a stepper motor through a gearbox whose ratio is 8:1 (eight turns of the motor to one turn of the screw). The stepper motor has 28 step angles. The table must move a distance of 475 mm from its present position at a linear velocity = 575mm/min. Determine (a) how many pulses are required to move the table the specified distance and (b) the required motor speed and pulse rate to achieve the desired table velocity.