# Am i getting screwed by the dealer?

**URL:** <https://forums.speedlife.net/t/am-i-getting-screwed-by-the-dealer/39904>\
**Category:** NYSpeed Automotive\
**Created:** [December 7, 2007, 7:26am UTC](https://forums.speedlife.net/t/am-i-getting-screwed-by-the-dealer/39904 "2007-12-07T07:26:58Z")\
**Posts on this page:** 1\
**Showing post:** 47

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**Author:** ![Rx3](https://yyz2.discourse-cdn.com/flex034/user_avatar/forums.speedlife.net/rx3/32/7194_2.png) [@Rx3](https://forums.speedlife.net/u/Rx3)\
**Post date:** [December 7, 2007, 4:31pm UTC](https://forums.speedlife.net/t/am-i-getting-screwed-by-the-dealer/39904/47 "2007-12-07T16:31:09Z")

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[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)?

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