[quote=“newman,post:16,topic:39904"”]
Here is WHY it is true.
Given:
235/84/16
tire diameter (Tn) = 31.7
Assume: 9/32 tread depth
At 50% wear, tire diameter (Tw) = 31.7 X 2(9/64) = 31.42
Assuming you are traveling at 70mph:
w = th/t
s=r*th
then
th= s/r
so
w = s/ (r * t)
but since v = x/t
or in this case
v=s/t
w= v/r
so
w = v/r
since r=d/2
w = 2v/d (radians)
1 rad = 180/pi degrees
so
w= 360v/(pi*d)
Angular slip (As) will be defined as wn-wu
SO
at 70mph = 73 920 in/min
As = 360*v/pi (1/dn-1/du)
As = -2381 degrees per minute.
since 1 ROT = 360 degrees
As = -6.61 rpm
So, for every minute you drive, your differential is SLIPPING 6.6 times every minute. I’m sure you can see how this would be BAD for any differential.
EDIT: I LOVE MATH.
[/quote]
Does weight ever come into play or is it strictly overall rolling diameter (being equal)?