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Wide Tires
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Wide Tires
(Created prior to 1993)
If friction is surface area independent, then why do dragsters
have wide tires?
---------------------------------------
The force of friction that the tires experience is
independent of the tire size, certainly. However, what a dragster does
not want is for the tires to slip - so the tires are spinning and the car
is going nowhere. What determines when the tires will start to slip is the
point at which static friction gives way to sliding friction. That force
must of course increase with the area of the tires, and so the bigger the
tires, the bigger the force you can use before you start slipping, and so
the faster your dragster can accelerate.
A. Smith
====================================================================
Wide tires for drag racing tires also come in a variety of
hardnesses or durometer ratings. The softer the tire, the more initial
traction is provided. If you will notice, too, one of the biggest reasons
for these wide tires has nothing to do with traction: When the car is
sitting at the line, the diameter of the tire is relatively small. When
the tires are spinning, the tires are constructed in such a way to allow
the centripetal force to expand the diameter of the tire. This has the
same desirable effect of changing the final drive gear ratio to allow for
higher speeds. Racers very carefully size tires to allow for the optimum
change in diameter over a
given rotational speed of the wheel. This allows the racer to take
advantage of the very narrow torque curve of their engines without
changing gears too many times. This reason is more so taken into
consideration than the width/friction reason.
Eric Peterson
====================================================================
The respondents do not answer the question properly. The reply by Smith
claims that bigger areas make bigger forces without giving any reason. The
reply by Peterson ignores the width question and instead focuses on diameter
growth.
There are several issues that must be considered when choosing a dragster
tire. Friction is surface-area independent in only a few ideal
examples. The real world is more complicated. Especially for tires that
are made of rubber. You want to choose a width, height, and tire compound
that gives the best friction for the duration of the race. Top fuel
dragsters have one-speed transmissions and slip the clutch during the
run. In engineering it is commonly thought that the friction force is
proportional to the force pushing the two surfaces together. This is only
correct over a certain range of conditions and materials. The constant of
proportionality is called the "coefficient of friction." The coefficient
of friction depends on the material and condition of BOTH of the surfaces being
rubbed together. It is small for DuPont's Teflon (TM) rubbing on DuPont's
Teflon (TM), larger for
DuPont's Teflon (TM) rubbing on wood, much larger for wood rubbing on
smooth concrete and very high for wood rubbing on rough concrete.
However, if the surface becomes actually sticky, then conventional
'friction' theory simply does not work. It is possible to have large
friction forces in the absence of a force pushing the two surfaces
together. In fact, because the surfaces stick together when you try to
pull them apart, a negative static friction coefficient is possible. I
made a phone call to a company that makes dragster tires and their racing
expert (Les Garbicz) provided me with some information. For most
dragsters, certainly top fuel, the tires and track are sticky like scotch
tape or flypaper. The tires may be inflated to only 7 psi and are fairly
large. Thus, the contact area between tire and track can be a couple of
square feet. (Each tire is 17 inches wide and the contact length is as
much as 10
inches front-to-back). This enables acceleration to be up to five times
that of gravity. The contact area decreases as the speed goes up.
The flypaper analogy is a useful image to illustrate the stickiness
mechanism. However, the tire is not a flat surface sticking to a flat
track surface. It is a rotating ellipsoid-shaped surface being compressed
onto a flat unmovable surface. These ‘flypaper’ boundaries are localized
on the surface and are made and broken as the tire rotates through the
footprint. The rubber compounds that are used have the property that
friction is low when cool. (Not really low, just lower than when hot).
The friction increases with increasing temperature, even including the
temperature when the rubber starts to melt. During a burnout, there is
some melting of the surface, but the tires do not actually get runny and
slippery. Prior to the race, the driver does a “burnout.” This short burnout
liquifies a thin layer on the surface of the tire. This only makes the
tire tacky and cleans the surface. This clean tacky surface grips the
track very well.
A wing is attached to top fuel dragsters that produces a downward
force. The downward force can be as much as 8000 pounds on a 2000 pound
machine when traveling 300 mph. Thus tire slip is not a problem at high
speeds. Centripetal force at high speeds keeps the tire from being
squashed by the downward force of the wing. Increasing tire diameter and
tire width increases the contact area. But there is a limit - a very
large tire would not be well matched to the engine or axle the torque
becomes impracticable.
When slip occurs between tire and track, the slip is not like a
normal automobile tire where the tire slides on the road. Race tracks
that are a quarter of a mile long are built of concrete and asphalt. The
first 330 feet or so is concrete. The rest is asphalt. A new fresh
track has a liquid rubber primer sprayed onto it which then dries. It is
then mechanically abraded by a tractor pulling old tires across it. A
second coat of primer is sprayed on. The result is sticky. During the
races, more sticky rubber is transferred to the track. This, as well as
the sticky nature of the rubber, accounts for the tremendous friction.
Rubber is made into a useful tire by the process of curing at the
factory. At a temperature much above 400F the rubber reverts to its
uncured state, and becomes almost liquid. Obviously, the tire will fall
apart if the body of the tire becomes that hot. If a dragster tire is
abused or under inflated, the internal temperature can get very hot
during the race, and racers make sure not to do that. The internal
temperature is different from the surface temperature. When the racer
does a 'burnout' prior to the beginning of the race, this liquifies a
thin layer on the surface of the tire for good traction. The inside
stays cool, and the clean, tacky surface
is ready to race.
Aside from the friction issue is the “abrasion” factor. If the load
is too high, the tire surface starts to form shavings instead of smoothly
getting tacky. The shavings act like little bearings. Thus friction
plummets. The rate of this friction drop seems to be related to the
“recipe” of the compound, also is related to its hardness (modulus). A a
softer compound may become “greasy” on the track, leaving thick black
lines on the surface while slightly harder compound may abrade into
shavings with tearing. Fracture lines across the tread surface is called
“graining” by engineers. These effects describe and explain the sliding
coefficient of friction zone identified with high tire slip.
To make sticky surfaces adhere, you need to push them
together. That is why you push down on sticky tape. Thus, there is a
controversy about what happens when the leading edge of the dragster tire
slams down onto the strip as the tire rotates. It has been argued that
this 'push' downwards causes the tire to grip much better than if it were
gently rolling along. Overall this is why tires need to be wide: a tire
that is too narrow will abrade (which is bad) instead of getting tacky
(which is good).
Bob Erck
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Last
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April 2006
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