A machine table driven by a closed-loop positioning system consists of a servo motor, lead screw, and optical encoder. The lead screw has a pitch of 0.500 cm and is coupled to the motor shaft with a gear ratio of 4:1(4 turns of motor for 1 turn of lead screw). The optical encoder generates 150 pulses/rev of the lead screw. The table has been programmed to move a distance of 15 cm at
a feed rate of 45 cm/min. Determine
a. How many pulses are received by the control system to verify that table has moved exactly 15 cm?
b. What is the pulse rate?
c. What is the motor speed that corresponds to the specified feed rate?