Discussion
Circular arc on a part profile is being machined on a vertical CNC milling machine. CNC part program using metric units with absolute dimensions is listed below:
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N60 G01 X 30 Y 55 Z -5 F50
N70 G02 X 50 Y 35 R 20
N80 G01 Z 5
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The coordinates of the centre of the circular arc are:
Answer: D
The centre of the arc is (30, 35).
The tool starts the arc at (30, 55), the end point of block N60, and G02 moves it clockwise to (50, 35) with radius 20. Two points 20 from both ends exist: (30, 35) and (50, 55).
About (30, 35), the start is directly above the centre and the end directly to its right, so the tool sweeps a quarter circle clockwise, as G02 requires. About (50, 55), going from the point on its left to the point below it clockwise would take three quarters of a circle, which a positive R does not program (R gives the arc of 180 degrees or less).
(30, 55) and (50, 35) are the arc's own end points, not its centre.
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