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Trigonometry Homework for the Maths Gurus: Please help :)
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mklotz:

--- Quote from: awemawson on January 31, 2015, 11:36:06 AM ---
 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

--- End quote ---

Rather than do any more drawings I think you should spend some time studying what I wrote.  I've given you a solution for L in terms of BAD and BAC which is what you asked for.  If you can't understand it  I'll be glad to answer specific questions you might have.
awemawson:

--- Quote from: Manxmodder on January 31, 2015, 11:46:43 AM ---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

--- End quote ---

Thanks Oz, but the intention is to write a canned cycle that I can call up using the inbuilt trig functions of the controller. It is to be a generalised sub routine to mill a flat on round work - be it one or many facets.

awemawson:

--- Quote from: philf on January 31, 2015, 11:25:40 AM ---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.

--- End quote ---

Thanks Phil,

You are working on the lines I need - no pun intended  :thumbup:
philf:

--- Quote from: awemawson on January 31, 2015, 12:20:12 PM ---
Thanks Phil,

You are working on the lines I need - no pun intended  :thumbup:

--- End quote ---

Andrew - I thought a diagram might help. Phil
philf:

--- Quote from: Manxmodder on January 31, 2015, 11:46:43 AM ---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

--- End quote ---

Hi Oz,

I've seen the calculator before. It may help you working out some trig but I doubt it would give you a formula to build into a program or spreadsheet which is what I believe Andrew needed.

The speeds/feeds feature would possibly be the feature of most use to me.

A couple of days ago I found a free online speeds/feeds calculator called FSWizard: http://zero-divide.net/index.php?page=fswizard . From the same author there is a paid-for program called HSMAdvisor which has geometry, threads etc as well as speeds and feeds.

I tried the online calculator yesterday working out feeds and speeds for a CNC milled loco component and it worked fine.

There are free Android/iOS versions with very few materials in the database but I will be buying an Android version which has many materials. It's only $29.99 (£20) which is about the cost of a carbide cutter so, if I don't break any cutters, will very soon pay for itself.

Phil.
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