
The force bearing on the axle has an eccentricity e with the point of contact to the rolling surface and exerts a moment about the contact point.
A 'wheel' is a circular device capable of rotating on its axis, facilitating movement or transportation or performing labour in machines. A wheel together with an
axle overcomes
friction by facilitating motion by
rolling. Common examples are found in
transport applications. More generally the term is also used for other circular objects that rotate or turn, such as a
Ship's wheel and
flywheel.
History of the wheel and axle
The English word '' comes from the
Proto-Indo-European ★ ''k
wek
wlo-'',
[1] which was an extended form of the root
★ ''k
wel-'' meaning "to revolve, move around". This is also the root of the
Greek κυκλος ''kuklos'', the
Sanskrit ''
chakra'', and
Persian ''charkh'', all meaning "circle" or "wheel",
[2] and also in
Lithuanian, ''sukti'' means "to rotate". The Latin word '' is from the Proto-Indo-European
★ ''rotā-'', the extended o-grade form of the root
★ ''ret-'' meaning "to roll, revolve".
[3].
Notably there are no
macroscopic wheels in animals or plants (though some animals can
roll), while microscopic wheels do exist in nature such as in
ATP synthase[4] and bacterial
flagellum.
[5]
The wheel probably originated in ancient
Sumer (modern
Iraq) in the 5th millennium BC, originally in the function of
potter's wheels. The wheel reached India and Pakistan with the
Indus Valley Civilization in the 3rd millennium BC. Near the northern side of the
Caucasus several graves were found, in which since 3700 BC people had been buried on wagons or carts (both types). The earliest depiction of what may be a wheeled vehicle (here a wagon—four wheels, two axles), is on the
Bronocice pot, a ca. 3500 BC clay pot excavated in southern Poland.
[6]
The wheel reached
Europe and
India (the
Indus Valley civilization) in the 4th millennium BC. In
China, the wheel is certainly present with the adoption of the
chariot in ca. 1200 BC, and Barbieri-Low (2000) argues for earlier Chinese wheeled vehicles, circa 2000 BC. Whether there was an independent "invention of the wheel" in East Asia or whether the concept made its way there after jumping the Himalayan barrier remains an open question, it has even been suggested that the introduction of the wheel into China was through Chariot wielding conquerors, possibly connected to inception of the Shang Dynsasty(ca. 1700)
[7].
Some
archaeologists argue for the
European origin of the wheel on an axle.
[8] It is claimed that natural conditions of Europe (hard-surface plains making it difficult to drag heavy loads as well as plenty of
timber used by skilled
craftsmen in every aspect of life) provided the best background for the invention of a wheel used for
transport. The
chronology of the oldest known specimens and representations of wheels and/or wheeled vehicles suggest that the invention may have been made in Europe no later than in the first half of the 4th millennium BC. The
prototype for the wheeled wagon was most probably "traga na szpuli" which was a primitive
sledge with wooden logs put underneath. Through contacts and
migration the invention was spread to the peoples from the regions of the
Caspian Sea and
the Black Sea. From there, it reached
Mesopotamia in the late 4th millennium BC. This could explain why in the Near East even the oldest wagons were already relatively highly diverse and sophisticated and no evidence of evolutionary stages of their development there have been found yet.
Although they did not develop the wheel proper, the
Olmec and certain other
western hemisphere cultures seem to have approached it, as wheel-like worked
stones have been found on objects identified as
children's
toys dating to about 1500 BC.
The invention of the wheel thus falls in the late
Neolithic and may be seen in conjunction with the other technological advances that gave rise to the early
Bronze Age. Note that this implies the passage of several wheel-less millennia, even after the invention of
agriculture. Looking back even further, it is of some interest that although
paleoanthropologists now date the emergence of anatomically modern humans to ca. 150,000 years ago, 143,000 of those years were "wheel-less". That people with capacities fully equal to our own walked the earth for so long before conceiving of the wheel may be initially surprising, but populations were extremely small through most of this period and the wheel, which requires an axle and socket to actually be useful, is not as simple a device as it may seem.
Early wheels too were simple wooden disks with a hole for the axle. Because of the structure of
wood a horizontal slice of a trunk is not suitable, as it does not have the structural strength to support weight without collapsing; rounded pieces of longitudinal boards are required.
The oldest such wheel, believed to have been made by the Alekern tribe, was found by the Slovenian archaeologist Janez Dirjec in 2002 at the
Ljubljana Marshes (''Ljubljansko barje''), some 20 kilometres southeast of
Ljubljana,
Slovenia.
[1] According to the experts in
Vienna,
Austria, the specimen was manufactured somewhere between 3350 and 3100 BC and is even older than others of similar construction found in
Switzerland and
Germany.
The
spoked wheel was invented more recently, and allowed the construction of lighter and swifter vehicles. The earliest known examples are in the context of the
Andronovo culture, dating to ca
2000 BC. Shortly later, horse cultures of the
Caucasus region used horse-drawn spoked-wheel war
chariots for the greater part of three centuries. They moved deep into the Greek peninsula where they joined with the existing Mediterranean peoples to give rise, eventually, to classical Greece after the breaking of
Minoan dominance and consolidations led by pre-classical
Sparta and
Athens.
Celtic chariots introduced an
iron rim around the wheel in the
1st millennium BC. The spoked wheel had been in continued use without major modification until the 1870s, when wire wheels and pneumatic tires were invented
[2].
The invention of the wheel has also been important for
technology in general, important applications including the
water wheel, the
cogwheel (see also
antikythera mechanism), the
spinning wheel, and the
astrolabe or
torquetum. More modern descendants of the wheel include the
propeller, the
jet engine, the
flywheel (
gyroscope) and the
turbine.
Mechanics and function
The wheel (with axle) is considered one of the
simple machines and lies near the starting point of advanced human technology (advanced, that is, in comparison with even earlier mechanical innovations such as stone/bone knives and axes, tension-sprung projectiles, scoops and shovels).
When wheels are used in conjunction with axles, either the wheel turns on the axle or the axle turns in a vehicle (as in a
cart) or a housing (as in a
mill). The mechanics are the same in either case.
The low resistance to motion (compared to dragging) is explained as follows (refer to
friction):
★ the normal force at the sliding interface is the same.
★ the sliding distance is reduced for a given distance of travel.
★ the coefficient of friction at the interface is usually lower.
Bearings are used to reduce friction at the interface.
Example:
★ If dragging a 100
kg object for 10
m along a surface with ''μ'' = 0.5, the
normal force is 981
N and the
work done (required
energy) is (work=force x distance) 981 × 0.5 × 10 = 4905
joules.
★ Now give the object 4 wheels. The normal force between the 4 wheels and axles is the same (in total) 981 N, assume ''μ'' = 0.1, and say the wheel
diameter is 1000 mm and axle diameter is 50 mm. So while the object still moves 10 m the sliding frictional surfaces only slide over each other a distance of 0.5 m. The work done is 981 x 0.1 x 0.5 = 49 joules.
Additional energy is lost at the wheel to road interface. This is termed
rolling resistance which is predominantly a deformation loss.
Wheeled vehicles
Vehicles can be classified according to number of wheels:
#
Unicycle,
monocycle
#
Bicycle
#
Tricycle
#
Quadricycle
Alternatives to wheels
While wheels are used for ground transport very widely, there are alternatives, some of which are suitable for terrain where wheels are ineffective. Alternative methods for ground transport without wheels include:
★ Dragging with runners (
sled) or without (
travois)
★ Being carried (
litter/sedan chair or
stretcher)
★ Being raised by air pressure (
hovercraft)
★ Being raised by
electromagnetic energy (
maglev train)
★
Riding an
animal such as a
horse
★
Walking on one's own
legs
★ A
walking machine
★
Caterpillar tracks (although it is still operated by wheels)
Wheels as symbols
The wheel has also become a strong
cultural and spiritual metaphor for a cycle or regular repetition (see
chakra,
reincarnation,
Yin and Yang among others).
The
winged wheel is a symbol of progress, seen in many contexts including the
coat of arms of Panama and the logo of the
Ohio State Highway Patrol.
The introduction of spoked (
chariot) wheels in the Middle Bronze Age appear to have carried somewhat of a prestige. The
solar wheel appears to have a significance in
Bronze Age religion, replacing the earlier concept of a
Solar barge with the more "modern" and technologically advanced
solar chariot.
The wheel is also the prominent figure on the Indian Flag. The wheel in this case represents law.
In recent times, the
custom aftermarket wheel has become a
status symbol. These wheels are often incorrectly referred to as "
rims." The term "rim" is incorrect because the rim is only a portion of a wheel, just as with a coffee cup or meteor crater. These "rims" have a great deal of variation, and are often very shiny. Some custom "rims" include a bearing-mounted, free-spinning disc which continues to rotate by
inertia after the automobile is stopped. In slang, these are referred to as "
Spinners"
[3].
See also
★
Alloy wheels
★
Artillery wheel
★
Axle
★
Bicycle wheel
★
Big wheel
★
Breaking wheel, a form of
torture
★
Caster
★
Color wheel
★
Deflation Detection System
★
Driving wheel
★
Ferris wheel
★
Hubcap
★
Magnetic levitation and
wheel-less
★
Reinventing the wheel
★
Reverse rotation effect (wagon-wheel effect)
★
Rolling friction
★
Ship's wheel
★
Simple machine
★
Square wheel
★
Stagecoach-wheel effect
★
Steering wheel
★
Tire
★
Tweel
★
Wheel and axle
★
Wheel sizing
★
Wire Wheels
★
Wheel of Fortune
★
Wheelset (railroad)
★
Terrestrial locomotion in animals: Rolling
References
1. wheel Online Etymology Dictionary
2. http://www.bartleby.com/61/roots/IE250.html
3. http://www.bartleby.com/61/roots/IE432.html
4. Direct observation of the rotation of F1-ATPase, Noji, H., Yasuda, R., Yoshida, M., Kinosita, K., , , Nature, 1997
5. Bacteria Swim by Rotating their Flagellar Filaments, Berg, H.C., Anderson R.A., , , Nature, 1973
6. Waza z Bronocic (in Polish)
7. Dyer, Gwynne, War: the new edition, p. 159: Vintage Canada Edition, Randomhouse of Canada, Toronto, ON
8. Ojczyzna wozu: Europa czy Bliski Wschód (in Polish), Wiedza i Życie, 8/1996