Hi Nick,
Your chart cuts off at 40tpi and is labelled Fig 16. Mine goes down to 72 tpi, and is labelled Fig 8.
As regards the formula for tpi, I had picked up that there was a discrepancy therein, and had found that eliminating the “0035” figure made it more accurate. (Decimal point is deliberately not shown.) This still gives errors of a few hundredths.
However, adding 0.0035 to 28, as you have shown, then gives dead accurate figures for tpi, accurate to 15 decimal places according to my spreadsheet.
Which suggests to me that Mashstroy, have deliberately chosen ratios to give an exact conversion, in which case, the fact that one wheel is 63T, and is not quite 127/2, is for us irrelevant.
It is of course possible then to simplify the formula even more, and I get this:
177.8 Z2 Z4
tpi = ———– x —- x —– x Z6
896.112 Z3 Z5
This takes into account all the fixed values and the fraction values are exact. Calculating 177.8 / 896.112 gives an indeterminate number, hence leaving as a fraction.
For those who are wondering, Z1 is always 32, hence can be incorporated into the fraction.
Regards,
Peter G. Shaw
Edited By Peter G. Shaw on 12/10/2010 13:53:08
Edited By Peter G. Shaw on 12/10/2010 13:54:26