A CNC machine tool table is powered by a servomotor, ball screw, and optical encoder. The ball screw has a pitch = 7.5 mm and is connected to the motor shaft with a gear ratio of 12:1. The optical encoder is connected to the ball screw and generates 200 pulses/rev of the screw. The table must move a distance of 300 mm at a feed rate = 450 mm/min. (a) Determine the pulse count received by the control system to verify that the table has moved exactly 300 mm. Also, what are (b) the pulse rate and (c) motor speed that corresponds to the specified feed rate?

Understanding Motor Controls
4th Edition
ISBN:9781337798686
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter54: The Operational Amplifier
Section: Chapter Questions
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A CNC machine tool table is powered by a servomotor, ball screw, and optical encoder. The ball screw has a pitch = 7.5 mm and is connected to the motor shaft with a gear ratio of 12:1. The optical encoder is connected to the ball screw and generates 200 pulses/rev of the screw. The table must move a distance of 300 mm at a feed rate = 450 mm/min. (a) Determine the pulse count received by the control system to verify that the table has moved exactly 300 mm. Also, what are (b) the pulse rate and (c) motor speed that corresponds to the specified feed rate?

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