Mouthpiece Work / Arc Facing Curve
FROM: kwbradbury (kwbradbury)
SUBJECT: Arc Facing Curve
In the Files area under "Methods" there is an Excel spreadsheet named "Facing Curve". The cells under the "L" column have equations in them to calculate arc facings. I started with the equation of a circle: (R-F)^2+(M-L)^2=R^2 R is the radius F is the feeler gage M is where the flat table ends from the tip L is gage length from the tip This equation works if all the measurement are in the same units. Conversion factors are needed to use inches with mm with 2*mm gages. The equation in the spreadsheet is an algebraic and triganometric manipulation to get: L=M-(R*sin(acos((R-F)/R)))*25.4*2 Here R and M are in inches and L and M are in 2*mm glass gage readings. I adjust M and R until I get the desired tip opening (at F=tip, L=tip rail thickness) and facing length (at F=.0015", L=facing length). For those of you good at spreadsheets, the solver tool can do the iteration needed. I know the above may be too much for many. It is something I developed for myself that is quite useful. I'll try to explain the confusing parts better if you ask questions.