Background & Tutorial
This calculator is for determining the width-of-cut of a “V” shaped cutting tool.
Here is a quick tutorial on how the formula works.
Exaggerated example of a "V" shaped cutting tool. A 30 degree tool is very 'pointy' whereas a 60 degree tool is 'flatter'.
Notice also, that these tools do not come to a perfect point.
This shows that the width of the cut is related to the depth of the cut. The deeper the tool cuts into the material, the wider the final cut will be.
Two identical right triangles are added. Each triangle has a known angle (half of the tool angle) and a known length of one side (the depth of cut).
A little trig is used to calculate the side 'a'. Add two a's to the tip diameter, and you've got the width of cut.
Tool width calculator
Inspired by the work of Jeff_Brit on the PCB-GCODE Phorum: V-bit etching width calculator