Tire size vs mileage

Cyborg

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Okay so a friend and I were having a conversation about the effect that changing a tire size can have on your mileage.

We worked on the assumption that X number of revolutions of the drum on your wheels will result in 1km being added to your odometer. This is obviously calibrated at factory.

In order to calculate the number of revolutions needed we used a simple mathematical formula to determine the distance a car travels for 1 revolution of the drum. 1 complete revolution of the drum is 1 complete revolution of the tire. So the circumference of the tire is the distance travelled per revolution.

Divide 1000 by circumference to give you number of revolutions needed for your odometer to add 1km.

A policeman told me you can legally increase your tire size by 2 inches. So a 14 to a 16 , a 15 to a 17 and so forth. Note that my calculations involve increasing the tire size but keeping the same profile.

Using the same method work out the number of revolutions of the larger tire needed to cover the same distance (not essential but interesting to note).

Multiply the circumference of the new tire by the number of revolutions needed for 1km on the standard tires.

You will now have the distance you actually travel per 1km added on your odometer.

We found that you get around 10% extra mileage if not more per kilometre travelled. Meaning : your car adds 1km on the odometer but has actually travelled 1.1km (slightly more but I'll use a rounded figure).

Firstly .... am I correct or have I been smoking some good sheeyit?

Secondly .... Friend suggested cars automatically compensates for bigger tires ... but how would the car know that you've changed them if you don't put it in somewhere?

Thirdly ... some manufacturers give you a standard size tire on the vehicle but in the handbook it gives you multiple tire size options ... surely somebody from one of these multi billion dollar companies figured out the mileage thing assuming it's true?
 
Doesnt Pi take part in this, no matter what the size it will still be 3.14?

320px-Pi-unrolled-720.gif
 
Last edited:
Indeed. Formula for circumference is 2 times pi times radius .

Pi is a mathematical constant so it won't affect much
 
Doesnt Pi take part in this, no matter what the size it will still be 3.14?

320px-Pi-unrolled-720.gif

Increasing the tire size increases the radius (thus the circumference is larger). The ratio will still be the same.

It will result in a small discrepancy between km reading vs actual km traveled.
 
You dont show any calculations so I have no idea how you calculated this. But at the end of the day a larger tire will cause the odo to under read because each revolution results in a greater distance than the original tire would have made.

Tire profiles are also a percentage of the width so a 205/45 would be 45% of the 205mm width. So mentioning keeping the same profile may have skewed your calculations.

And no cars dont auto adjust the speedo maybe if they used gps but I dont know of any.

Also there are many calcs for this online if you google for them.
 
There is no auto adjusting; Bigger or smaller circumference tyres will make the speedometer and odometer inacurate.

I'm pretty sure that changing by 2 inches = legal and 3 inches = illegal is BS.

To make things interesting:

As the tyre increases in circumference and/or width of the contact area with the road increases, the forces stay the same. So the force/area decreases with an increase in circumference/width.

Tyres of the same make and model in different sizes have different tread depths.

Broader larger tyres compounds and treads tend to be more optimised for grip than longevity.
 
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