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| Trigonometry Homework for the Maths Gurus: Please help :) |
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| mklotz:
I've given you an equation to solve for ADB and ABD = ABC. We need both those angles in order to use the law of sines to solve for L. |
| philf:
Andrew, Maths was always my favourite subject and it's nice for someone to set such a brainteaser. Try: L = (R x sin(90-BAC/2))/(sin(90+BAC/2-BAD)) My first effort had one too many "/2" in. I have now checked it with a spreadsheet and an Autocad drawing. Hope that's what you needed. Phil. |
| Lew_Merrick_PE:
Andrew -- Is there a reason yoiu cannot make the line "AD" perpendicular to the chord "BC"? If you are coming in with an endmill to mill that face, would it not need to be perpendicular to cut the chord line smoothly? If that is the case, then angle "BAD" = angle "CAD" and the only "issue" is deciding the subtended angle "BAC." |
| awemawson:
Marv, I'll try and do another drawing later that shows what is actually happening, but in words: The X axis tool slide holds a tool turret with driven tooling. The selected tool will be a spiral end mill cutting on it's flank, not its end, and it's axis of rotation will be parallel to the main lathe spindle. As this tool can only move in towards the lathe axis, or away from it (ie not up and down) it cannot cut a flat, unless the main spindle rotates slowly as the tool slide slides in and out. It is the mathematical relationship between the work rotation (represented by the angle of the line L) and the movement of the tool slide (represented by the length of line L) that I am trying to build into my algorithm. When there are less grandchildren crawling over me I'll try and get a sketch drawn up |
| Manxmodder:
Andrew,I don't know how how helpful this is but by coincidence I was sent an email offer from a metrology seller yesterday. They are offering for sale a specialised hand held machinists calculator which does trig,sin,tan,arctan and a great deal of other math specifically associated with shop calculations. I am going to ask other posters opinions/experiences of this calculator in another thread. Link to site advertising: http://www.machine-dro.co.uk/engineers-calculator-machining-reference-tool.html?___SID=U .....OZ |
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