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Race Kart Setup Guide #2 - Center of Gravity

7/15/2019

12 Comments

 
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The center of gravity (CG) of an object is its center of mass by which all acceleration forces act through. It’s an imaginary point where if you could suspend the object from that location, it would be balanced in all directions. In a kart, this point is generally somewhere right in front of where the driver sits. Since the driver is such a large percentage of the overall weight of a kart, moving around a lot can cause the center of gravity to also move around by a significant amount.  Some karters will actually move on purpose to alter handling.  For instance, you could lean back as you brake to put more weight on the rear tires to allow improved braking.
So what does it mean that all the forces act through this point? Ok, let’s say your rear weight bias is 60%. This means that the CG location is at 60% of the distance from the front to the rear tires.  If you put the kart on scales, the rear tires will carry 60% of the total weight of the kart. The front tires will share the remaining 40%. This explains the front to rear location of the CG, but there is also a vertical component – how high above the ground the CG is located. There are ways to calculate this based on tilting the kart, but it’s generally not necessary to know exactly.  What you do need to know about the vertical component of the CG is that it has a profound effect on the handling of a kart.  One of the motorsport oddities unique to kart-style vehicles  is that the front acts as a car, but the rear acts as a motorcycle. This is easiest to explain by showing you.
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How a Kart's rear is like a motorcycle

If you remember from part 1 how the rear of a kart corners on only the outside tire you might be able to figure out what we mean here. These pictures depict how the CG of both kart and motorcycle will act through the rear tire during a corner. Motorcycle riders have a pretty good advantage in this sense as they can lean to the angle necessary to maintain balance and their tires have a rounded profile. Karts however, have basically flat profile tires and cannot lean.  Why does this matter?  Well, what happens when a motorcycle corners faster.  It must lean more, because as the lateral force increases, the center of gravity must change angle in relation to the contact patch- otherwise the rider will highside and tip over. Expert level riders can achieve seemingly impossible angles of lean due to the amount of grip possible with modern race tires.  An important key to understand here is that regardless of lean angle, the load on the rear tire, and therefore grip potential, is basically constant in pure cornering. As we've learned about when discussing tire load sensitivity, since there is no lateral load transfer, there is also no change in potential grip. Unlike a car that experiences load transfer across the rear tires, the constant grip potential of the kart's outside rear tire once it unloads in a corner is why it is like a motorcycle.

On a kart however,  the needed "lean" angle must be preset through chassis setup. The location of the outside tire in relation to the CG must be set correctly to properly jack the inside rear tire. Too much or too little jacking can cause handling problems, but unfortunately as we learned from the motorcycle example, as cornering force increases, the needed angle increases as well.  What this means is that a kart that unloads the inside rear properly when grip is high might not when grip is low.  Even the difference between high and low speed corners can cause issues because of the steering geometry effects on the amount of jacking. The very tight steering needed for a hairpin might cause the inside rear tire to lift off the ground  too high. As the kart starts to lift excessively, the outside tire's contact patch is no longer flat against the ground and so quickly loses grip. This loss of grip causes the inside rear to come crashing back down. Now flat against the ground again, the outside tire regains grip and the kart starts to lift again.  This repeating cycle is one of the main causes of hopping that kart racers sometimes experience.

While motorcycles will lean to achieve this ideal center of gravity location, moving the CG of a kart is often not so easy.  This usually requires redrilling and moving the seat or ballast.  Fortunately there is a better solution.  While moving the CG is difficult, we are really only concerned with the angle between the CG and the tire contact patch.  So alternatively, moving the tire contact patch is relatively easy. This is usually accomplished  by sliding the wheel hubs in and out on the axle.  Moving the wheels in will raise the angle and increase the jacking effect. Moving the wheels out will do the opposite.  Based on the track and grip levels, a driver will alter rear width (along with  chassis flex and steering geometry if needed) until proper inside rear lift is achieved.  There is generally going to be a range where the kart will have an acceptable amount of jacking. As long as the kart stays within this window for a given track and conditions, hopping from too much lift or binding of the rear tires from too little lift can be avoided.  During cornering, the entire load of the rear of the kart will then rest solely on the outside rear while also keeping its contact patch at an acceptable angle.  We've now successfully turned the rear of the kart into a motorcycle so it can corner properly.

The important takeaway here is that so far nothing we have done is about making the kart go faster by adjusting vehicle balance.  We aren't adding or removing grip anywhere.  Everything has simply been about getting the kart to work properly in the first place by unloading the inside rear so it doesn't bind and keeping the outside rear contact patch at a usable angle.  Adjusting steering geometry, roll resistance through chassis flex, and rear track width does not change grip potential or balance. In fact, the vast majority of adjustments on a kart simply enable it to jack properly in different conditions. Unlike a car, where the suspension can be used to adjust balance due to load transfer, a kart is like a motorcycle where only by shifting weight forward and backwards can we alter vehicle balance.  We'll see in a bit how that works, but first let's take a look at the other end of a kart.

How a Kart's front is like a Car

Ok, so now we understand how the rear of a kart is like a motorcycle, how is the front like a car?  While a kart wants 100% load transfer across the rear tires, across the front, we want to minimize load transfer just like in a car.  Why is that? Well again, it is all because of load sensitivity.  The less load transfer across a pair of tires and more evenly loaded they are, the greater the grip they can produce.  While car setup will use this effect to adjust balance by altering front and rear roll resistance,  the roll resistance of a kart must be used to adjust the jacking effect.  So to alter load transfer at the front of the kart, we are left with only the location of the CG in relation to the front tires. The total amount of load transfer of a vehicle is completely based on the height of the CG and the vehicle track width.  The lower the CG and the wider apart the tires, the less the load transfer, and therefore the more grip we will have.

The takeaway message is to get your CG as low as possible and front tires as far apart as possible. This gives maximum grip at the front and since rear grip is constant anyway, we can just move the rear tires in until the kart is jacking properly based on the current CG location and track conditions.  If you find yourself running out of adjustment and can't get the rear narrow enough to properly unload the inside rear during lower grip situations, you can then raise your CG if necessary.  This is the reasoning behind sitting on a towel during a rain race.  As the grip is significantly lower, raising the driver and thus the CG is sometimes needed to unload the inside rear to prevent tire binding.

Balancing Cg for Cornering vs Acceleration

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So now that we've learned moving the CG up and down affects rear jacking and front grip, what about moving it forward and backward.  While we want the CG as low as possible, there is no perfect number for the front to rear percentage that is ideal.  It will depend, because this is how we adjust the balance of a kart.  As you adjust your longitudinal CG location, you are trading off between your pure lateral grip (cornering) and longitudinal grip (acceleration and braking). 

First let’s discuss lateral grip.  If you were doing a skidpad competition where you just drive in a circle, the ideal front to rear weight percentage would about equal the relative tire contact patch sizes.   Here is where tire load sensitivity comes in again.  During pure cornering, moving weight rearward creates more relative grip in the front and increases oversteer. Moving weight forward gives more relative grip in the rear and increases understeer. You could optimize your balance by driving in a circle around a skidpad and move weight forward or backward until you maximized the speed attainable.  In fact, for many lower-powered classes, this might be a good strategy because the karts do not have much acceleration potential anyway. 

​In a kart with more power however, you would most likely benefit from running a more rearward weight bias than what maximizing pure cornering might produce.  Think of a drag racing car where all the weight is over the driven rear tires to maximize traction during acceleration.  The amount of rearward bias is not just related to the power of the kart however, it is also related to the type of corners and conditions of the track you are running.  Even a low-powered kart can sometimes generate wheelspin coming out of a tight turn in low grip conditions, and likewise a high-powered shifter kart is not going to be doing much acceleration during a 100 mph corner on a road course. So therefore, more power, tighter turns, or lower grip surfaces will generally need a  more rearward weight bias than lower power, faster turns, and higher grip tracks. Optimizing braking works in a similar manner.  On a kart with rear-only brakes, the more rearward your CG is located, the better your braking performance will be.

Hopefully you can see the compromises involved in moving weight forward and backward. Go more forward if you are looking for ultimate cornering ability, and go more rearwards if you are generating excessive wheelspin on corner exit and wish to improve forward traction.  There is generally a fairly small range of CG locations you will want to use however, as we are really just adjusting the balance of the kart for the types of corners we will face.  Going too far forward causes excessive understeer and going too far rearward makes the kart prone to excessive oversteer.  In general, adjusting the CG location until you find a balance that is close to oversteer, but that you can still control will provide the best performance.  Lastly, remember that moving your CG is changing your tire loads and will therefore affect how much the inside rear tire needs to unload during a corner.  You'll need to take into account that moving the CG forwards will cause the kart to jack more easily and vice-versa.  This might require you to adjust your chassis jacking settings to compensate.

Basic kart Chassis Setup Guide

So taking everything we've learned in these two articles let's lay out a basic game plan for setting up a kart.
  1. Start with a solid baseline:
    1. Maximum front track width (scrub radius) to reduce front load transfer.
    2. Minimum caster to reduce steering effort and counteract the large scrub radius.
    3. Minimum seat height without excessive bottoming to lower CG.
    4. Adjust seat placement and tilt for driver comfort aiming for a 55-60% rearward bias.
    5. Temporarily add ballast to bring kart to minimum weight aiming for 57-58% starting point rearward bias.  Lower base weight will allow more adjustment with ballast placement.
    6. Start with minimal chassis stiffening attachments.  This reduces base weight and allows greater bump absorption.
  2. Adjust for proper chassis jacking:
    1. Start with maximum rear track width. If the kart binds in the highest speed corner of the track reduce rear width until the inside rear tire starts to unload and balance noticeably shifts away from understeer.  Measure and record width.
    2. Continue reducing rear width until the kart loses grip or begins to hop in the tightest or grippiest corner of the track.  Measure and record width.
    3. Set rear width for middle point between measurements to allow greatest range to avoid handling problems caused by excessive or inadequate chassis jacking.
    4. If rear width changes do not allow enough adjustment to avoid hopping/binding in all corners proceed to other adjustments as necessary.
      1. If kart hops, you may increase stiffness by adding chassis stiffening bars at front.
      2. If kart binds, you may increase caster as needed or add chassis stiffening bars/struts to rear.
  3. Adjust ballast to optimize balance and corner exit performance:
    1. Once the kart is unloading the inside rear reasonably well, begin moving ballast forward or rearward to optimize balance. Adjust seat only if necessary.
    2. Other than optimizing tire settings such as pressure/camber, ballast placement is the primary way a driver can increase overall performance by optimizing balance.
    3. Remember that chassis jacking adjustments like caster and rear track width do not affect potential grip or performance.  
    4. Lower-power karts/higher-speed corners will generally need a more forward bias and vice-versa.  In general, balance should be close to oversteer, but controllable.
    5. Optionally, a driver may wish to increase overall chassis stiffness for quicker response on smoother tracks.  This, as well as longitudinal CG location changes will alter the jacking effect so as you make stiffness and ballast adjustments you will then need to...
    6. ⤴ Return to section 2:  Adjust for proper chassis jacking.

There can be many fine details to this process that will give you no end of setup work to do if you wish to delve deeper, but hopefully understanding the overriding physics principles and goals will keep you on the right track.  Good luck!
I hope you enjoyed this article series.  For a more in-depth look at the physics of racing, make sure to check out The Science of Speed Series, starting with The Perfect Corner, available in paperback or ePub.​

​by Adam Brouillard
12 Comments
Zaw Htoo
8/1/2018 07:18:59 am

I am interested about center of gravity

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Glen
1/10/2019 07:46:06 am

This and your Part 1 are by far the best kart setup articles i have found on the web. Im new to gokarting and the
The typical arbitrary " if you want more bite in the rear, increase or decrease the rear track width" are a joke.
Having read books in the past like chassis engineering and how to make your car handle give good understanding on and why roll stiffness, weight transfer etc etc does what it does.
this is the FIRST time i have seen anyone talk about how and why it does what it does in a kart.

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Eric
3/26/2019 01:09:31 pm

"Going too far forward causes excessive understeer and going too far rearward makes the kart prone to excessive oversteer." why is this? I'm assuming because too much weight on tires overloads their grip potential?

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Adam Brouillard
9/17/2019 05:03:59 pm

HI Eric, this is due to load sensitivity. You can find some info in our tire science article. Basically the the heavier a tire is loaded the more grip it produces, but with diminishing returns. That is why a more evenly loaded tire pair produces more grip than one less evenly loaded. That's also how most cars adjust their balance through changing roll stiffnesses through things like anti- roll bars.

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John Hawkins
1/1/2020 05:59:33 am

Nice setup summary. I came here looking for info on the impact of forward/rearward weight bias for R/C model cars and learned a lot more than expected.

I always wondered how you got a kart to handle properly without a diff. I suspected it was something to do with unloading the inside rear when I saw how much caster you guys run and how far inboard the kingpin is from the front tyre contact patch. Thanks for explaining.

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steven perryman
5/17/2020 06:20:06 pm

Adam -- I've found your articles very informative. I've also found them so dense with information that I have to slow way down and reread them over and over to "get it". One question on oversteer with a kart. I've been doing this for about 12 years (4 different karts: CRG to Zanardi to CRG to Zanardi) with a long time problem of mid corner to track out oversteer. With my 4th kart, I had a Tillet T11 seat installed; it has a back angle of 58 degrees instead of my early T8's with a back angle of 48 degrees. This moved the center mass of my upper body back and changed the front to rear weight ratio from about 41/59 to 38/62. And my oversteer problems went away. While I think I have digested your explanations concerning tire load sensitivity and load transfer to the outside, my experience seems to contradict the physics of moving the weight forward to decrease oversteer. I acknowledge that there are probably too many other variables that might have caused this situation for you to address without more information, but I can tell you this has all been at the same track with MG Yellows and a driver weight that has been quite consistent over the years. Ideas? And, again, thanks for your clear and thought provoking articles.

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Adam Brouillard
5/19/2020 09:24:01 am

Hi Steven, thanks for writing. I'll take the "dense" comment as a compliment. I honestly can't stand most articles, as you have to read through pages and pages of stuff to maybe find one nugget of information.

In answer to your question, tire load is definitely somewhat counter intuitive. More load equals more force, but less "grip." Moving the CG backwards will shift the kart's balance toward oversteer in pure cornering, but give it more acceleration capability. This will be a tradeoff. Karts with more power and tighter corners will benefit more from a rearward weight bias. Lower power karts and higher speed corners will want a more forward bias.

As a general rule, if you begin oversteering during corner exit as you apply power, then moving weight rearward is generally helpful. If your kart oversteers in a constant speed corner, or at full throttle, then move weight forward.

You can experiment with this a bit by leaning forward and backward in the seat and see if you can take note how this affects your balance.

Let me know if this doesn't make sense, I'm happy to answer any more questions.

Reply
Alex
8/31/2020 04:19:37 pm

Hi Adam,

thank you for this I learned a lot from that.
I would love to see an article or section how manipulating the lateral CG as a driver affects cornering (maybe I have to reread your articles a couple of times to extract the information out of it).

I have to get my head around this aswell:
"Going too far forward causes excessive understeer and going too far rearward makes the kart prone to excessive oversteer."
"Basically the the heavier a tire is loaded the more grip it produces, but with diminishing returns."
Especially for trail braking.

One really burning question is:
How does driver weight affect cornering performance I tend to read that more heavy drivers have more grip in corners.
Especially during rain - this reading from your article could be due to the higher CG (42% weight is in upper body) therfore allowing the inside rear wheel to jack where it doesn't on the lighter drivers?

Man I love to understand racing physics again many thanks to you :)

Kind regards
Alex

Reply
Adam Brouillard
9/3/2020 12:15:57 pm

HI Alex, where have you heard that heavier drivers have more grip? That's the opposite of what should happen. This would be possible if maybe the lighter driver didn't have the kart setup properly and it wasn't jacking enough or the tires were too hard and not getting hot enough. These problems would be exacerbated by a wet track.

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Loic
3/3/2021 09:57:01 am

Because centrifuge force is a linear function of the mass, it will affect the front and the rear proportionally to the weight ratio.
While added weight adds extra downforce and therefore extragrip, the gain is not even close to match the extra exposure to centrifuge force.
That s why lighter is better.

Reply
Aaron Sun
4/4/2021 09:11:18 am

Great article!

Can you explain more about this section:
"During pure cornering, moving weight rearward creates more relative grip in the front and increases oversteer. Moving weight forward gives more relative grip in the rear and increases understeer."

It seems contradictory to other's articles I have read before.

Reply
Adam Brouillard
4/4/2021 06:57:02 pm

This is due to load sensitivity, I have a Tire Science article that explains this further.

Reply

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