Chain Length Calculation: Difference between revisions
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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. | 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. | This makes for some interesting math. I really have nothing better to do. I like to criticise other people, it makes me feel smart. | ||
===The most accurate math=== | ===The most accurate math=== | ||
Revision as of 05:32, 6 December 2006
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. I really have nothing better to do. I like to criticise other people, it makes me feel smart.
The most accurate math
Here are some quick facts:
Some Approximations
I'm not a big fan of approximations. Spreadsheets exist for a reason.
I will add some though, just for comparison.
Some Data
Tabular Example
