Jeff S
Forum Supporter
I have two wheel sets for my Versys, with two different tooth-count rear sprockets, difference of 3 teeth I think. One chain is just fine for both, given how much wheel adjustment it's got.
Guess not!Lol. What? Obvious, right?
Did you get that South Tx,Check my math. I think it is 1 extra link for two teeth.
Assuming that the chain leaves the gear at the halfway point, which is close but not exact, you get:
Chain length old = 2*L + (2*pi*r1)/2 + (2*pi*r2)/2
Where L is the distance between sprockets r1 is the radius of the front sprocket and r2 is the radius of the second sprocket. (2*pi*r) is the circumference of the sprocket, but the chain only travels half of the sprocket so (2*pi*r).
So if you add two teeth, to the sprocket the circumference is 2*pi*r+2x. where x is a link length.
My new equation with the new rear sprocket, keeping the sprocket adjuster in place (the length between the sprockets is constant) is then
Chain Length new = 2*L + (2*pi*r1)/2 + (2*pi*r2 + 2x)/2
Which is
Chain Length New = 2*L + (2*pi*r1)/2 + (2*pi*r2) + 2x/2
So Chain length New minus chain length old is 2x/2 = x = the length of 1 link. ??
Or intuitively, you can think of one tooth being added to the right of the sprocket, where the chain is, and one tooth being added to the left of the sprocked where the chain ain't...so the chain only has to get one tooth longer...
???View attachment 244415
Guess it's not obvious after all. HaYou guys are giving me a headache!
Switched out today, 116 worked but did have to pull wheel back. The 114 I had might work but wheel would be pretty far forward. Headed to SHNF and see if I like the 52!
Didn't get to go, going now!!details and review please. I went to a 13/50 on my fx350 and it’s ok, but could be better