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Omega General Help / Re: winter tyres - again
« on: 04 November 2011, 04:50:40 »As you'd expect 225/55/16 will be fine.how can the speedo under read when the profile is the same!?
205/55/16 is fine and cheaper but will make the speedo under read by 3%.
As Jimbob says .. it is a percentage.
So 55 % of 225/55/16 = 123.75 The width of the tyre is 225mm, the height of the sidewall is 123.75 mm
55% of 205/55/16 = 112.75 The width of the tyre is 205mm the height of the sidewall is 112.75mm
As they are both on 16" rims the difference in radius of the two wheels is 11mm. The larger wheel radius is 203.2 mm (16"/2) + 123.75 mm = 326.95 mm The smaller wheel radius is 203.2 + 112.75 = 315.95 mm
The circumference of a wheel - the distance it travels in one rotation is 2*Pi*r so for the larger wheel it is 2054.358 mm, for the smaller wheel 1985.24 .. a difference of 69.18 mm
So for every rotation of the wheel the smaller tyre travels about 7cm less than the bigger one... but your speedo is measuring the RPM of the wheel and "assuming" the larger ones circumference ..
The error is (69.18 / 2054.358) * 100 = 3.37% ... about what Birdman said
HTH
Rock solid piece of maths and logical thinking, well done, I really like it.
It has answered a question, where I have been thinking about fitting 205/55/16 winter tyres to my Miggy and wondering what the speedo difference would be, will look at 225's just to keep speedo accurate, even though they will give poorer grip in snow due to lower psi due to bigger contact area.
I've got a clean licence and want to continue to keep the speed camera mafia at bay.