In response to various tyre/rpm questions and for those that want to do precise comparisons charts and get really technical etc, here ya go.
Many of the tyre size/ rpm charts that can be found on the net can be useful for very basic comparison purpose, if your tyres do actually come close to sizes specified. But that is usually the problem as most rarely do so they can't really be used for precise calculations.
Also there is no way of knowing what "constant" they use. Tyre diameters indicated on these charts may also not be “loaded”. To make it worse not all manufacturers tyres have the same actual overall height or radius.
But further limitations are that realistically there are only specific ratios commonly available for the Toy anyway, ie 4.1, 4.3, 4.56 and 4.875, ie if you now have 4.56’s the only step available is the 4.875 irrespective of what a chart may determine.
So in our case it makes more sense to only use our given ratios to outline the various options and what is best for your plans and there are also other factors that you should take into account, especially when considering forking out the big dollars necessary for a complete ratio change or tyre change, ie body or suspension lifts etc and the first is to be sure the figures you have are accurate.
I have been using the loaded wheel radius for many years, ie from the ground to the centre of your wheel as your vehicle currently sits. This is the true height that will determine your vehicle speeds/rpm etc and not the overall measured static height.
A wheel rotates in a perfect circle as per its radius from the centre of the axle and not its static diameter as we all know there is a flat spot on the bottom, Very Happy , ie I don’t know about yours but my wheel rotates in a perfect circle from the axle centre, it doesn’t rotate like an egg to take account the constant flat spot on the bottom or the perfect circle at the top, Very Happy .
Therefore, doubling the LWR will also become your tyres true overall diameter, ie if your LWR is 15" and you then measure from the centre of the wheel to the top of the tyre you will find this section will be slightly more than 15". Therefore, the true loaded wheel diameter (LWD) of your tyre is double the LWR, which in this case is 30".
As an example my LWR is 15.25” and my “wheel” rotates in a perfect circle on the axle meaning I have an overall diameter of 30.5”, yet my tyre is marked as a 32”. Big difference.
Recently I found this site that also uses this method of calculation (finally) so this makes it a lot easier and quicker.
http://www.albinsgear.com.au/formulae.html
But here’s a written example.
You need to know the diff ratio to get the overall gear ratio you want to use, which is the diff ratio multiplied by the gear ratio.
Speed has to be in mph in the written formula Very Happy but the net calculator above has both metric and imperial options. According to net conversions 100kph is actually 62.1371 mph not 60 mph as many think.
http://www.goconvert.com/cgi-bin/speed.asp
RPM = GR x MPH x 168 divided by LWR
Ok, you want to know the rpm's at 100kph in overdrive and you have a R150, 4.56 diff and exactly 16" LWR tyres.
The R150 overdrive rounded is 17% so 4.56 x 0.83 = 3.7848 which becomes the overall gear ratio (GR). You can use any gear ratio multiplied by your diff ratio to get the overall ratio, ie 2nd is 2.06 x 4.56 = 9.39 (GR).
So 3.7848 x 62.1371 = 235.176... x 168 = 39509.65 divided by 16 = 2469 rpms at 100kph.
This will immediately show that despite what many think going up exactly 1" to a 33" LWD does not gain a meaningful drop in rpm's, Very Happy
39509.65 divided by 16.5 = 2395 rpm's, a difference of only 74 rpm, which shows its not worth doing if you were actually chasing an rpm drop!!!!!!.
Going up 2" to a 34" LWD is 39509.65 divided by 17 = 2324 rpm again only a 145 rpm drop.
If I did a diff ratio change to 4.3 it becomes.
4.3 x 0.83 = 3.569 x 62.1371 = 221.767 x 168 = 37256.85 divided by 16 = 2329 rpm, again not as great drop BUT note its virtually the same as a 2" tyre increase.
But if you were only chasing an rpm drop of around 150 then this information now gives you two options to consider, ie a 2” tyre increase or a 4.3 diff change. The tyre increase probably means a body lift and the cost of new tyres and maybe rims etc versus cost of two diffs from wreckers.
If we go to 4.1 it becomes 4.1 x 0.83 = 3.403 x 62.1371 = 211.452 x 168 = 35523.937 divided by 16 = 2220 rpm a difference of 245 rpm which is more meaningful.
Using this information you can do comparisons using various diff ratios and also include different tyre diameters etc etc. I do spread sheets for all my possible combinations when making choices along these lines.
But it is also wise before making a decision to consider the other equation, ie what will my other gears be like if I did a diff ratio change etc and more so first gear.
The R150 has a 3.83 1st so 3.83 x 4.56 = an overall ratio of 17.46 versus 3.83 x 4.1 = 15.70. Which overall 1st gear ratio would be best suit your purposes or driving style.
I do all these calculation for all gear ratios and compare to what I currently have as it can make a huge difference in how your vehicle will behave if you go the wrong way.
To add to the list the following formulas can provide a quick guide and add to the information needed to make a selection.
To ascertain speed (mph) at a set rpm and ratio
RPM x LWR
---------------- = MPH
GR x 168
To ascertain what ratio is required to obtain a set speed at a certain rpm.
RPM x LWR
----------------- = Gear Ratio
MPH x 168
To ascertain what diameter tyre is required for a set speed, rpm and ratio, remembering the answer means you would have to find a tyre that will give a LWD of the same amount, not what the manufacture plaque says etc.
MPH x GR x 168
--------------------- = Tyre Diameter
RPM
By making up charts with all this information for comparison you can make smart decisions, Very Happy
JD
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