Am i getting screwed by the dealer?

[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]

yeah but it doesnt do it all the time. they only time it does it is if you’re like accelerating up a hill (weather it be very slight or very extreme), or basically any time the truck has to work a little harder to get moving. it does it worse the further you put the pedal down to the floor, and if you accelerate slowly, it wont do it, which is fine but thats not the point. it shouldnt do it at all. so basically its not slipping all of the time. its pretty hard to explain without actually driving it and feeling it for yourself. and newman, i understood absolutely NONE of that. i suck at math. horribly. lol