The belt pitch angle must change depending on diameter? OK, that makes sense. As the belt goes around the pulley radius, the bottom is compressed and would get fatter, while the top is stretched and would get thinner. I wonder how much the pitch angle on the belt actually changes. Hmm, that means each pulley would have a slightly different optimum pitch depending on the diameter.
OK I just went out into the garage and performed a little experiment. I measured three old fashioned (uncogged) automotive v-belts all, of them were 35 degrees not 40. I could have sworn automotive belts were 40 degrees in pitch. Hmmm, good thing I don't work for NASA...
The experiment, belt pitch angles at:
2.5" dia. pulley - 31 degrees
5.0" dia. pulley - 33 degrees
Flat belt - 35 degrees
So, the belt goes into the groove flat, and the bottom expands as it goes around the curve, gripping the pulley.
This is all coming together now in my big round melon. The wear marks on the very soft, un-heat-treated aluminum, prototype pulley are at the bottom of the belt contact area! I guess I'll (continue to) perform a destruction test on the soft prototype to see how long it lasts with the wrong groove angle. 9,500 miles and counting.
I will update the PDF Plan.
Rick(wrench)