GATE ME 2020 Set 2 — Question 56
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Question
A point 'P' on a CNC controlled XY- stage is moved to another point 'Q' using the coordinate system shown in the figure below and rapid positioning command (G00).
A pair of stepping motors with maximum speed of 800 rpm, controlling both the X and Y motion of the stage, are directly coupled to a pair of lead screws, each with a uniform pitch of 0.5 mm. The time needed to position the point 'P' to the point 'Q' is ________ minutes (round off to 2 decimal places).

Correct answer
1.4 to 1.6
Solution
In rapid positioning (G00), the axes move simultaneously at their maximum programmed speeds.
1.Calculate the linear speed of each axis:
2.Calculate the distance to be traveled in each direction:
3.Calculate the time required for each axis to complete its movement:
4.Since the axes move simultaneously, the total time taken is the maximum of the individual times:
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