The y-axis of an x-y positioning table is driven by a stepping motor that is connected to a leadscrew with a 3:1 gear reduction (three turns of the motor for each turn of the leadscrew). The stepping motor has 72 step angles. The leadscrew has 5 threads/in and provides an axis range = 30.0 in. There are 16 bits in each binary register used by the controller to store position data for the axis.
(a) What is the control resolution of the y-axis? Determine
(b) the required rotational speed of the y-axis stepping motor and
(c) the corresponding pulse train frequency to drive the table in a straight line from point (x = 20 in, y = 25 in) to point (x = 4.5 in, y = 7.5 in) in exactly 30 sec. Ignore acceleration.