Re: Gear Ratio

From: Robert F Weingart (rweingart@attmail.com)
Date: Thu May 01 1997 - 00:16:26 EDT


All-
I have been reading the mailings about RPMs and gear ratios and I believe I
have an answer. In recalling some ME gear equations:

  r = n2/n1 where r = velocity ratio (ratio in 1/3.55 format)
                   n2 = driven gear angular velocity
                   n1 = driving gear angular velocity
You can create a relationship between two sets of gear ratios by doing the
following algebra:
First state that (a) = current ratio (b) = new ratio

  r(a) = n2(a)/n1(a) r(b) = n2(b)/n1(b)

So, if n1(a) = Current RPM
and n2(a) = n2(b) (In both cases the axles spin the same speed)
Then, n2(b) = rb*n1(b)

  r(b)*n1(b)
  --------- = r(a)
  n1(a)

Or simplified:

  n1(b) = r(a)*n1(a)
          ---------
          r(b)
Don't forget that r(a) and r(b) is 1/gear ratio or 1/3.55.

So, in summary if you have 3.55 gears that turn 2000 RPM @ 60 MPH and want to
see your new 3.90 gear's RPM:

  NewRPM = (2000*3.90)/3.55 = 2197 RPM

For you real gear heads, make an Excel spreadsheet with this formula and graph
the difference.

Thanks,
Rob Weingart (89 Dak LE 4x4 Long Bed)
      

 



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