wow.......i get back from a week @ road america and this is what i see

. i woulda' posted sooner, but you know i was, a, working @ the race track with a lot of the fastest guys in the country. so where to start? where to start?....... the beginning i guess. pete your mathmatical explaination is so over simplified its funny. you assume a lot of stuff that i know to be incorrect, from a real world stand point. 1st...by keeping the angles of the valve & wheel heavy spot @ 0 & 90 you've managed to keep both vectors in the positive grid. makes the math easier but isn't a good assumption to make as that isn't the case. you might have known this if you balanced and mounted as many tires as i have. usually on a aftermarket 16.5 wheel the light spot is between 170 & 190 degrees from the valve seem. on a OEM 17 in wheel its usually between 140 & 240. the quality on the OEM stuff isn't near as good as it is on the aftermarket stuff.
2nd.... you really need @ 3-d vector set up as this is only a problem when the wheel is rotating and the bike is moving. so you'd need a x,y & z. not just a 2-d vector.
3rd.... 15 degrees is a pretty slight spin. 30~60 is a much more problematic wheel spin. @ 30 degrees on a 16.5 rim the arc length of the spin would be 4.28~4.36 depending if the rim is a true 16.5 or a "undersized" 16.5. 2 seasons ago jake zemke spun a front almost 180 degrees.
4th.... you really have made this issuse seem so simply. however even @ a slow speed of 120mph the wheel is rotating @ around 256 ft/s @ that speed it takes only .025 seconds for it to complete 1 full rotation. your example doesn't even begin to touch on the complexities of whats going on out on the race track @ speed.
now since you consider yourself a "scientist" i would think that you would be familiar with the scientific method.
http://www.pages.drexel.edu/~bcb25/scimeth/intro3.htm you do really well until you stop after step 3. you have no real world data......none. i highly doubt you can even recreate whats happenning out on the track when a rider spins a rim. but thats not really the point. the point is that just because you do a little paper work you think you've proven something. however you need to go back and do steps 4 & 5 of the method to really "prove" something.
i also find it funny that you question my education. i have a high shcool degree, as well as 2 college degrees. and yes pete i took physics in college, 4 semesters of lecture and lab. now i'm not gonna' try and say i was some great student, as i was usually in the b- ~ c+ range in lecture and a b ~ b+ in the labs. however i only took the stuff because i had too. pretty much the same on the math, though i had to take a lot more. i talked with a lot of the factory guys over the week about what they new about physics and i wasn't amazed by what they told me. ben spies superbike motor tuner jokingly said "i made it through the 11th grade....i think" he then told me he didn't know a lot about physics, as he was taught, in the real world, by other techs. steve may not be able to explain this and that in relation to physics, but he can make 1 of the most power superbike motors in the AMA. duhamel's motor tuner told me he barely made it through highschool, and math was never his strong point. he to can build a motor like few in the paddock. the other motor tuner and R&D guy did know a bit of physics, but said most of the time he just used computer programs to do the problems for him. he called it cheating.hayden's motor guy pretty much said the same thing, adding that most of the guys in the paddock came up the ole' skool way.....working and learning @ the track. he did say that from what hes seen the car world is where the physics and engineers are. the head mechanic for marty craggil said he didn't even need physics to build a good motor. the chassis guys where a little different, knowing a lot more trig and geometery, but physics was still not very common. so your insults seem a little off based as most in the industry don't even have college degrees.
now maybe i should have explained when we started doing this practice. it was @ laguna seca in 03 the 1st time i saw it. only on the world superbikes, which @ the time were going faster that the AMA bikes. i'm sure you know way more than that of the tuners @ the world superbike level, but i don't and accidentlly removed a rim balance weight. it was explained to me in laymens terms that it mattered. the 1st race of 04' we got the word from HQ to balance all the rims before mounting tires on them. that really sucked as we had to balance 500 some odd rims then mount tires and rebalance them. this is now the 3rd season of doing it and out in the real world it works. your little chart will not convince me otherwise, since, well, you have absolutely zero real world data to back it up.
i've got some pictures to go along with this story to back up what i say and raise a couple of new questions.....