Chain Length Calculation
From Pvdwiki
Contents
Understanding the Problem
A chainwheel is not round. Rather, it is a polygon with facet lenth of the chain pitch. The chain leaves the chainwheel, at maximum, tangent to the pitch diameter. The chain then travels in a (theoretically) straight line to the other chainwheel, meeting it in a similar fashion.
This makes for some interesting math.
Here are some quick facts:
The most accurate math
Some Approximations
I'm not a big fan of approximations. Spreadsheets exist for a reason.
I will add some though, just for comparison.