Al,
Despite yourā¦ āI thought these guys were experts?āā¦ concession, you are still not getting how your āspreadsheetā is misleading you (and possibly others).
I hope I can put this to bed once and for all, so that a year from now this doesn't come up again and confuse other/new people on this Forum.
One point I believe you are missing is that while a drawing may be labeled āpitch diameterā, the only circle that exists is an imaginary one that defines where the centers of the rollers should sit.
The second, more important point I believe you may be missing is that the chain does NOT wrap around the sprocket in a circle. The chain follows the path of a polygon. A chain is not a string, rather: itās made up of straight sections that are .375ā long (on #35 chain). If you draw a line from the center of one chain pin to the center of the next chain pin, you should see that itās a STRAIGHT line ā it is NOT an arc on a projected āpitch diameterā. Connect all the chain pin center points, and you now have a polygon, NOT a circle.
Soā¦ if you have a 77t sprocket, it does NOT have a real pitch ācircleā. It is a polygon ā in this case: a 77 sided polygon made from 77 straight lines, each of which has the length of one chain pitch (.375ā on #35 chain). If you add up those 77 straight sections, the total will be: 77 x .375ā, which is 28.875ā, which is precisely 77 links of chain. It literally can not be anything else.
The key point here is: the circumference of your āpitch diameterā on a 77t sprocket will be DIFFERENT than the distance around a 77-sided polygon (which is how a chain actually āwrapsā around a sprocket).
Using an imaginary ācircleā to describe the path the chain takes is wrong, and using it in your spreadsheet as a basis for implying that a 10/70 could be anything OTHER than a 7:1 ratio is also wrong. The real ratio is number of teeth in the larger sprocket divided by the number of teeth in the smaller sprocket, PERIOD.
PM