Problem NO: 9

The y-axis of an x-y positioning table is driven by a stepping motor that is connected to a leadscrew\nwith a 3:1 gear reduction (3 turns of the motor

The y-axis of an x-y positioning table is driven by a stepping motor that is connected to a leadscrew

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with a 3:1 gear reduction (3 turns of the motor for each turn of the leadscrew). The stepping motor

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has 72 step angles. The leadscrew has 5 threads per inch and provides an axis range = 30.0 in. There

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are 16 bits in each binary register used by the controller to store position data for the axis. (a) What

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is the control resolution of the y-axis? Determine (b) the required rotational speed of the y-axis

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stepping motor and (c) the corresponding pulse train frequency to drive the table in a straight line

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from point (x = 20 in, y = 25 in) to point (x = 4.5 in, y = 7.5 in) in exactly 30 sec. Ignore

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acceleration.

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