Question: The two axes of an x-y positioning table are each driven by a stepping motor connected to a leadscrew with a 10:1 gear reduction. The number of step angles on each stepping motor is 20. Each leadscrew has a pitch = 4.5 mm and provides an axis range = 300 mm. There are 16 bits in each binary register used by the controller to store position data for the two axes.
(a) What is the control resolution of each axis?
(b) What are the required rotational speeds and corresponding pulse train frequencies of each stepping motor to drive the table at 500 mm/min in a straight line from point (30, 30) to point (100.200)? Ignore acceleration and deceleration.