Two-dimensional
rotation
Rotation, or spin, is the circular movement of an object around a '' central axis''. A two-dimensional rotating object has only one possible central axis and can rotate in either a clockwise or counterclockwise direction. A three-dimensional ...
can occur in two possible directions. Clockwise motion (abbreviated CW) proceeds in the same direction as a
clock
A clock or a timepiece is a device used to measure and indicate time. The clock is one of the oldest human inventions, meeting the need to measure intervals of time shorter than the natural units such as the day, the lunar month and t ...
's hands: from the top to the right, then down and then to the left, and back up to the top. The opposite sense of
rotation
Rotation, or spin, is the circular movement of an object around a '' central axis''. A two-dimensional rotating object has only one possible central axis and can rotate in either a clockwise or counterclockwise direction. A three-dimensional ...
or
revolution is (in
Commonwealth English
The use of the English language in current and former member countries of the Commonwealth of Nations was largely inherited from British colonisation, with some exceptions. English serves as the medium of inter-Commonwealth relations.
Many ...
) anticlockwise (ACW) or (in
North American English) counterclockwise (CCW).
Terminology

Before clocks were commonplace, the terms "
sunwise
In Scottish folklore, sunwise, deosil or sunward (clockwise) was considered the “prosperous course”, turning from east to west in the direction of the sun. The opposite course, anticlockwise, was known as ''widdershins'' (Scots language, Lowla ...
" and "deasil", "deiseil" and even "deocil" from the
Scottish Gaelic language and from the same root as the Latin "dexter" ("right") were used for clockwise. "
Widdershins" or "withershins" (from
Middle Low German "weddersinnes", "opposite course") was used for counterclockwise.
The terms clockwise and counterclockwise can only be applied to a rotational motion once a side of the rotational plane is specified, from which the rotation is observed. For example, the daily rotation of the
Earth is clockwise when viewed from above the
South Pole, and counterclockwise when viewed from above the
North Pole (considering "above a point" to be defined as "farther away from the center of earth and on the same ray").

Clocks traditionally follow this sense of rotation because of the clock's predecessor: the
sundial
A sundial is a horological device that tells the time of day (referred to as civil time in modern usage) when direct sunlight shines by the apparent position of the Sun in the sky. In the narrowest sense of the word, it consists of a flat ...
. Clocks with hands were first built in the Northern Hemisphere (see ''
Clock
A clock or a timepiece is a device used to measure and indicate time. The clock is one of the oldest human inventions, meeting the need to measure intervals of time shorter than the natural units such as the day, the lunar month and t ...
''), and they were made to work like horizontal sundials. In order for such a sundial to work north of the equator during spring and summer, and north of the
Tropic of Cancer the whole year, the noon-mark of the dial must be placed northward of the pole casting the shadow. Then, when the
Sun moves in the sky (from east to south to west), the shadow, which is cast on the sundial in the opposite direction, moves with the same sense of rotation (from west to north to east). This is why hours must be drawn in horizontal sundials in that manner, and why modern clocks have their numbers set in the same way, and their hands moving accordingly. For a vertical sundial (such as those placed on the walls of buildings, the dial being ''below'' the post), the movement of the sun is from right to top to left, and, accordingly, the shadow moves from left to down to right, i.e., counterclockwise. This effect is caused by the plane of the dial having been rotated through the plane of the motion of the sun and thus the shadow is observed from the other side of the dial's plane and is observed as moving in the opposite direction. Some clocks were constructed to mimic this. The best-known surviving example is the
Münster astronomical clock, whose hands move counterclockwise.
Occasionally, clocks whose hands revolve counterclockwise are sold as a novelty. One historic
Jewish clock was built that way in the
Jewish Town Hall in Prague in the 18th century, using right-to-left reading in the
Hebrew language. In 2014 under
Bolivia
, image_flag = Bandera de Bolivia (Estado).svg
, flag_alt = Horizontal tricolor (red, yellow, and green from top to bottom) with the coat of arms of Bolivia in the center
, flag_alt2 = 7 × 7 square p ...
n president
Evo Morales, the clock outside the Legislative Assembly in
Plaza Murillo,
La Paz
La Paz (), officially known as Nuestra Señora de La Paz (Spanish pronunciation: ), is the seat of government of the Bolivia, Plurinational State of Bolivia. With an estimated 816,044 residents as of 2020, La Paz is the List of Bolivian cities ...
, was shifted to counterclockwise motion to promote indigenous values.
Usage
Shop-work
Typical
nuts
Nut often refers to:
* Nut (fruit), fruit composed of a hard shell and a seed, or a collective noun for dry and edible fruits or seeds
* Nut (hardware), fastener used with a bolt
Nut or Nuts may also refer to:
Arts, entertainment, and media Com ...
,
screws,
bolt
The BOLT Browser was a web browser for mobile phones including feature phones and smartphones that can run Java ME applications. The BOLT Browser was offered free of charge to consumers and by license to mobile network operators and handset manuf ...
s,
bottle caps, and jar lids are tightened (moved away from the observer) clockwise and loosened (moved towards the observer) counterclockwise in accordance with the
right-hand rule
In mathematics and physics, the right-hand rule is a common mnemonic for understanding orientation of axes in three-dimensional space. It is also a convenient method for quickly finding the direction of a cross-product of 2 vectors.
Most of th ...
.

To apply the right-hand rule, place one's loosely clenched right hand above the object with the thumb pointing in the direction one wants the screw, nut, bolt, or cap ultimately to move, and the curl of the fingers, from the palm to the tips, will indicate in which way one needs to turn the screw, nut, bolt or cap to achieve the desired result. Almost all threaded objects obey this rule except for a few left-handed exceptions described below.
The reason for the clockwise standard for most screws and bolts is that
supination
Motion, the process of movement, is described using specific anatomical terms. Motion includes movement of organs, joints, limbs, and specific sections of the body. The terminology used describes this motion according to its direction relative ...
of the arm, which is used by a right-handed person to tighten a screw clockwise, is generally stronger than
pronation
Motion, the process of movement, is described using specific anatomical terms. Motion includes movement of organs, joints, limbs, and specific sections of the body. The terminology used describes this motion according to its direction relative ...
used to loosen.
Sometimes the opposite (left-handed, counterclockwise, reverse) sense of threading is used for a special reason. A thread might need to be left-handed to prevent operational stresses from loosening it. For example, some older
car
A car or automobile is a motor vehicle with wheels. Most definitions of ''cars'' say that they run primarily on roads, seat one to eight people, have four wheels, and mainly transport people instead of goods.
The year 1886 is regarded as ...
s and trucks had right-handed
lug nuts on the right wheels and left-handed lug nuts on the left wheels, so that, as the vehicle moved forward, the lug nuts tended to tighten rather than loosen. For
bicycle pedal
The pedal is the part of a bicycle that the rider pushes with their foot to propel the vehicle. It provides the connection between the cyclist's foot or shoe and the crank allowing the leg to turn the bottom bracket spindle and propel the bicyc ...
s, the one on the left must be reverse-threaded to prevent it unscrewing during use. Similarly, the
flyer whorl of a
spinning wheel uses a left-hand thread to keep it from loosening. A
turnbuckle has right-handed threads on one end and left-handed threads on the other. Some gas fittings are left-handed to prevent disastrous misconnections: oxygen fittings are right-handed, but
acetylene
Acetylene (systematic name: ethyne) is the chemical compound with the formula and structure . It is a hydrocarbon and the simplest alkyne. This colorless gas is widely used as a fuel and a chemical building block. It is unstable in its pure ...
,
propane
Propane () is a three-carbon alkane with the molecular formula . It is a gas at standard temperature and pressure, but compressible to a transportable liquid. A by-product of natural gas processing and petroleum refining, it is commonly used a ...
, and other flammable gases are unmistakably distinguished by left-handed fittings.
Mathematics
In
trigonometry and
mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
in general, plane
angle
In Euclidean geometry, an angle is the figure formed by two rays, called the '' sides'' of the angle, sharing a common endpoint, called the '' vertex'' of the angle.
Angles formed by two rays lie in the plane that contains the rays. Angles ...
s are conventionally measured counterclockwise, starting with 0° or 0
radians pointing directly to the right (or east), and 90° pointing straight up (or north). However, in
navigation,
compass headings increase clockwise around the compass face, starting with 0° at the top of the compass (the northerly direction), with 90° to the right (east).
A circle defined parametrically in a
positive Cartesian plane by the equations and is traced counterclockwise as the angle ''t'' increases in value, from the right-most point at . An alternative formulation with sin and cos swapped gives a clockwise trace from the upper-most point.
Games and activities
In general, most card games, board games, parlor games, and multiple team sports play in a clockwise turn rotation in Western Countries and Latin America with a notable resistance to playing in the opposite direction (counterclockwise). Traditionally (and still continued for the most part) turns pass counterclockwise in many Asian countries. In Western countries, when speaking and discussion activities take part in a circle, turns tend to naturally pass in a clockwise motion even though there is no obligation to do so. Curiously, unlike with games, there is usually no objection when the activity uncharacteristically begins in a counterclockwise motion.
Notably, the game of baseball is played counterclockwise.
Alternative, normal right/left rotation
As an alternative to using a clock to describe the rotation of a body, it is possible to use the right/left hand rule to determine the rotation. The thumb shall point in the normal direction of the surface in question and the four remaining fingers in the direction of the rotation of the surface. The resulting direction of the rotation is thereby
* Normal right rotation = counterclockwise
* Normal left rotation = clockwise
In humans
Most left-handed people prefer to draw circles and circulate in buildings clockwise, while most right-handed people prefer to draw circles and circulate in buildings counterclockwise. While this was theorized to result from dominant brain hemispheres, research shows little correlation and instead attributes it to muscle mechanics.
See also
*
Handedness
In human biology, handedness is an individual's preferential use of one hand, known as the dominant hand, due to it being stronger, faster or more Fine motor skill, dextrous. The other hand, comparatively often the weaker, less dextrous or sim ...
*
Chirality (physics),
Chirality (chemistry)
In chemistry, a molecule or ion is called chiral () if it cannot be superposed on its mirror image by any combination of rotation (geometry), rotations, translation (geometry), translations, and some Conformational isomerism, conformational ch ...
*
Inner/outer orientation
*
Optical isomerism
*
Retrograde motion
*
Relative direction
References
{{reflist, 2
Concepts in physics
Orientation (geometry)