karting physics 101

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    NATIONAL KART NEWS APRIL 2009 800-942-0033 WWW.NKN.COM22

    STORY TITLE

    KARTINGPHYsICS 101By Mike Unger

    THEREARE3 BASIC

    LAWSTHATALLOBJECTS, NOMATTERWHATSIZEORSHAPE,4 CYCLEOR2 CYCLE,

    EUROPEANBUILTORAMERICANBUILT,30MMOR32 MM,MUSTWITHOUTANYHESITATION, FOLLOW.

    THISISASIMPLEFACT.

    Below: The forces

    acting on a kart areextreme and not

    intuitive. Look at

    the distortion on theright rear of this kart

    in a left hand turn.

    Karting is physical but karting is also about physics.Understanding the basics will help you go faster

    I recently received a comment from one of our

    eaders asking NKN to explain some of the kartingopics we write about in more technical depth. Ofourse even if you are a beginner you should know

    hat while it seems a kart is a simple machine thephysics involved and the how and why a kart doeswhat it does is anything but easy to understand

    r explain. That being the case I do believe thatnderstanding the basic laws of physics actingn a kart is beneficial to everyone. So with that

    n mind, I will do my very best to explain one of

    he most fundamental concepts so everyone cannderstand.

    Before we start talking about the physics of

    karting, we have to talk about Newtons Three Laws

    f Motion. These are 3 basic laws that all objects,o matter what size or shape, 4 cycle or 2 cycle,

    uropean built or American built, 30mm or 32 mm,

    must without any hesitation, follow. This is a simple

    act.

    Newtons First Law is often called Newtonsaw of Inertia. It states that an object at rest or in

    teady motion will remain at rest or in steady motion

    nless acted on it by another external force. Simply

    ut, if an object is sitting still in order to make it

    move an external force must be applied to it to maket move. If an object is moving at a constant speed,

    force must be applied to it in order to make it slow

    own.

    Newtons Second Law of Motion is often called

    he law of momentum. It states that the force acting

    n an object is proportional to the mass of thebject multiplied by the objects acceleration. Force

    quals Mass times acceleration, F=ma.

    Newtons Third Laws of Motion states thatwhen a particle exerts a force on another particle,

    the opposing particle exerts an equal and oppositeforce. More simply, for every action there is an equal

    and opposite reaction. Put your hand against a brick

    wall and push. As long as the wall doesnt move the

    force you feel is equal to the force you are applying.

    For a kart this means if acceleration is zero theforce being applied to the kart it is equal to the

    forces trying to resist it.

    Got all of that? Yeah, I know it sounds

    complicated but if you can understand these basic

    laws and how they apply to your kart, tuning your

    kart will make more sense. Lets first talk about justgoing straight. Imagine yourself at the start of a 100

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    NATIONAL KART NEWSAPRIL 2009 800-942-0033 WWW.NKN.COM 23

    Figure 1

    Figure 2

    4 cycle or 2 cycle, laydown or situp all objectsmust follow the basic laws of x2.

    Above: You are accele rating downthe straight - the faster you

    go the more aerodynamics

    pays a part.

    mile long straight at a stop with the engine running.

    You apply a small amount of throttle and the kart starts

    to move. The kart will accelerate until it reaches a

    speed at which the force being generated by the engine

    working though the chain, sprockets and tires equalsthe external forces acting on the kart as a whole. This

    is Newtons 3rd Law.

    What are those forces? They are aerodynamic and

    mechanical forces. Aerodynamic force, in simple terms,

    is the friction caused by the air passing over everypart of the kart. This friction is exponential to the

    velocity of the kart. That means that the effect of the

    aerodynamic force acting on a kart at 10mph is 100

    times greater than acting on the same kart at 1mph.This is why aerodynamics is so important in racing. For

    sprint karts, where the speeds rarely get above 60mph,

    aerodynamics are not as important as it is for enduro

    karts traveling at 100mph.

    Mechanical drag is the friction caused by the

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    NATIONAL KART NEWS APRIL 2009 800-942-0033 WWW.NKN.COM24

    Figure 3

    earings, chain, sprockets, and tires. These forces are directlyroportional to the velocity of the object. The faster the

    bject goes mechanical friction goes up a linear amount.

    At lower speeds around 40mph or so, mechanical drags the dominant resistant force, at high speeds above 70

    mph aerodynamic forces are the dominant resistant force.n between those speeds the 2 forces are equally

    mportant and depend on your particular kart.

    So here we are applying a small amount

    f throttle accelerating up until the kart will

    ot accelerate anymore. The point when the

    peed is not increasing anymore is calledteady state. At this point is where Newtons

    aws become clear. The force generated by the

    engine is equal to the aerodynamic and mechanical forces opposing the kart. In

    order to accelerate to a higher speed, an external force greater than the opposing

    forces must be applied to the kart. Since we have only applied a small amount ofthrottle, more force can be applied by pushing the accelerator pedal more. The

    engine will make more power, the chain and sprockets will apply more torque to

    the axle the axle and tire will translate that torque into a force that will act on the

    road. Since the force being applied to the road is greater than the aerodynamic

    and mechanical forces acting against it the karts speed will increase. As thekart accelerates the mechanical and aerodynamic forces will increase with

    the speed of the kart. At some point the force being applied by the engine will

    equal the mechanical and aerodynamic forces. This is when the kart will stop

    accelerating and reach its maximum velocity.

    Now with that all understood lets

    think about how to increase this karts topspeed. Here we are on our super long

    straight trying to go a little faster. Gearing

    is critical here. Since most all engines

    reach some maximum horsepower

    peak before they actually stoprevving it is important to look

    at the dyno curve of your

    engine. If you are

    at max speed at

    15,500 rpm butyour engine

    makes best

    Notice the lateral tire forces actingon the right rear tire in this picture.

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    NATIONAL KART NEWSAPRIL 2009 800-942-0033 WWW.NKN.COM 25

    IFYOUARERACINGSPRINTKARTSI DONTRECOMMENDYOUMESSWITHBODYWORK

    CHANGES. THECOSTISTOOHIGHANDTHEBENEFIT

    ISTOOLOW. SAVEYOURMONEYFORTIRES.

    Notice the inside rear tire barely touches the

    ground. This is necessary for a kart to turn.

    power at 15,000 rpm you are giving up speed

    because you are not using all of the power available

    to you. In this case dropping a couple teeth will

    increase your speed. The opposite is also true. Ifyou are not reaching the max horsepower peak of

    your engine before the kart stops accelerating you

    need to increase the number of teeth on the rear

    sprocket.

    Other things to consider while on this long

    straight is improving aerodynamics, a matter ofbodywork shapes. If you are racing sprint karts I

    dont recommend you mess with bodywork changes.

    The cost is too high and the benefit is too low. Save

    your money for tires. On the other hand if you are

    racing enduro karts with open bodywork rules paycareful attention to your karts bodywork. Keep

    edges from flapping in the wind and try to close up

    all the gaps as tight as possible. Since nobody thatI know of has the money to test a kart in a wind

    tunnel pay careful attention to what bodywork thewinning karts have, especially if that winning kart

    doesnt have the most powerful engine.

    The other way to increase your top speed is

    to reduce mechanical drag. Things that contribute

    to mechanical drag are bearings, chain, and tires.Bearings should be taken care of and be in good

    running order at all times. If they sound like a coffee

    grinder, they need to be cleaned or replaced. Your

    chain and sprockets also need special care and

    attention. Chains wear out over time and a wornchain will tend to have tight and loose sections in it.

    A good chain lube is also important here. Lube your

    chain every time the kart goes out and pay careful

    attention to how freely the rear wheels spin when

    the kart comes off the track. You will need a goodsticky chain lube that will not sling off over the

    course of a race. At the end of a race when

    the chain is hot it should spin smoothly with

    the sprockets. If it doesnt your chain lubeisnt doing its job. Sprocketswear out over time as well

    and can cause

    excessive drag.

    Keep an eye

    on them andreplace when

    n e c e s s a r y .

    Ti res a lso

    c o n t r i b u t e

    mechanical running resistance as well, the softerthe rubber the higher the drag in general. The same

    is true for tire pressure. Higher pressures tend to

    have less drag. But before you go increasing your

    pressures and changing to hard tires remember weare just talking about going down a 100 mile long

    straight with no turning involved. Read on to get the

    whole story.

    Since we dont race our karts on a 100 mile

    long straight piece of asphalt the previous several

    paragraphs only tell half of the story. Now you needto go around a turn. For this exercise, imagine you

    are in the middle of a medium radius right hand

    turn at around 35mph. You are applying the throttle

    but only enough to maintain speed, the steering

    wheel in turned and the kart is not understeering oroversteering. The setup is perfect.

    OK, what does Newton say about this situation

    and what can we learn from it? Well just like the

    long straight when you are in the turn and things are

    at steady state all the forces acting on the kart have

    to balance out. That is, they are equal and opposite.So what forces are we talking about? The weight

    of the kart works though the Center of Gravity andacts straight down to the track surface. Its equal

    and opposite force is the right and left tire force

    pushing up on the tires. The lateral forces acting

    on the kart are the reactant forces acting though

    the Center of Gravity and the Tire Grip force actingat the point at which the tire touches the road. The

    reactant force acting through the CG is trying to

    push the kart the opposite direction of the turn.

    This force is the mass of the kart times the lateral

    G of the kart at any given time. The Tire Grip Forceis the equal and opposite force keeping the kart on

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