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# Rotation

A rotation is a circular movement of an object around a center (or point) of rotation. [1]

97 relations: Absolute rotation, Action (physics), Aircraft principal axes, Angular frequency, Angular momentum, Angular velocity, Astronomy, Axial precession, Axial tilt, Axis–angle representation, Backspin, Balancing machine, Baseball, Basketball, Baton twirling, Carousel, Centrifugal force, Centripetal force, Circular motion, Computer graphics, Cosmological principle, Cricket, Curveball, Cut-the-Knot, Diving, Doppler effect, Dwarf planet, Earth, Equator, Euler angles, Ferris wheel, Figure skating, Flight dynamics, Flip (acrobatic), Football, Frequency, Frisbee, Galaxy, Gimbal, Gravity, Group (mathematics), Gymnastics, Gyroscope, Hockey, Homogeneity and heterogeneity, Integral, Inverse element, Isotropy, Joystick, Lagrangian mechanics, ... Expand index (47 more) »

## Absolute rotation

In physics, the concept of absolute rotation—rotation independent of any external reference—is a topic of debate about relativity, cosmology, and the nature of physical laws.

## Action (physics)

In physics, action is an attribute of the dynamics of a physical system from which the equations of motion of the system can be derived.

## Aircraft principal axes

An aircraft in flight is free to rotate in three dimensions: yaw, nose left or right about an axis running up and down; pitch, nose up or down about an axis running from wing to wing; and roll, rotation about an axis running from nose to tail.

## Angular frequency

In physics, angular frequency ω (also referred to by the terms angular speed, radial frequency, circular frequency, orbital frequency, radian frequency, and pulsatance) is a scalar measure of rotation rate.

## Angular momentum

In physics, angular momentum (rarely, moment of momentum or rotational momentum) is the rotational equivalent of linear momentum.

## Angular velocity

In physics, the angular velocity of a particle is the rate at which it rotates around a chosen center point: that is, the time rate of change of its angular displacement relative to the origin.

## Astronomy

Astronomy (from ἀστρονομία) is a natural science that studies celestial objects and phenomena.

## Axial precession

In astronomy, axial precession is a gravity-induced, slow, and continuous change in the orientation of an astronomical body's rotational axis.

## Axial tilt

In astronomy, axial tilt, also known as obliquity, is the angle between an object's rotational axis and its orbital axis, or, equivalently, the angle between its equatorial plane and orbital plane.

## Axis–angle representation

In mathematics, the axis–angle representation of a rotation parameterizes a rotation in a three-dimensional Euclidean space by two quantities: a unit vector indicating the direction of an axis of rotation, and an angle describing the magnitude of the rotation about the axis.

## Backspin

In racquet sports and golf, backspin (also known in racket sports as slice or underspin), is a shot such that the ball rotates backwards (as though rolling back towards the player) after it is hit.

## Balancing machine

A balancing machine is a measuring tool used for balancing rotating machine parts such as rotors for electric motors, fans, turbines, disc brakes, disc drives, propellers and pumps.

## Baseball

Baseball is a bat-and-ball game played between two opposing teams who take turns batting and fielding.

Basketball is a team sport played on a rectangular court.

## Baton twirling

Baton twirling is a sport involving the manipulation of a metal rod and the performer's body to a coordinated routine.

## Carousel

A carousel (American English: from French carrousel and Italian carosello), roundabout (British English), or merry-go-round, is a type of amusement ride consisting of a rotating circular platform with seats for riders.

## Centrifugal force

In Newtonian mechanics, the centrifugal force is an inertial force (also called a "fictitious" or "pseudo" force) directed away from the axis of rotation that appears to act on all objects when viewed in a rotating frame of reference.

## Centripetal force

A centripetal force (from Latin centrum, "center" and petere, "to seek") is a force that makes a body follow a curved path.

## Circular motion

In physics, circular motion is a movement of an object along the circumference of a circle or rotation along a circular path.

## Computer graphics

Computer graphics are pictures and films created using computers.

## Cosmological principle

In modern physical cosmology, the cosmological principle is the notion that the spatial distribution of matter in the universe is homogeneous and isotropic when viewed on a large enough scale, since the forces are expected to act uniformly throughout the universe, and should, therefore, produce no observable irregularities in the large-scale structuring over the course of evolution of the matter field that was initially laid down by the Big Bang.

## Cricket

Cricket is a bat-and-ball game played between two teams of eleven players each on a cricket field, at the centre of which is a rectangular pitch with a target at each end called the wicket (a set of three wooden stumps upon which two bails sit).

## Curveball

The curveball is a type of pitch in baseball thrown with a characteristic grip and hand movement that imparts forward spin to the ball, causing it to dive in a downward path as it approaches the plate.

## Cut-the-Knot

Cut-the-knot is a free, advertisement-funded educational website maintained by Alexander Bogomolny and devoted to popular exposition of many topics in mathematics.

## Diving

Diving is the sport of jumping or falling into water from a platform or springboard, usually while performing acrobatics.

## Doppler effect

The Doppler effect (or the Doppler shift) is the change in frequency or wavelength of a wave in relation to observer who is moving relative to the wave source.

## Dwarf planet

A dwarf planet is a planetary-mass object that is neither a planet nor a natural satellite.

## Earth

Earth is the third planet from the Sun and the only astronomical object known to harbor life.

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## Equator

An equator of a rotating spheroid (such as a planet) is its zeroth circle of latitude (parallel).

## Euler angles

The Euler angles are three angles introduced by Leonhard Euler to describe the orientation of a rigid body with respect to a fixed coordinate system.

## Ferris wheel

A Ferris wheel (sometimes called a big wheel, observation wheel, or, in the case of the very tallest examples, giant wheel) is an amusement ride consisting of a rotating upright wheel with multiple passenger-carrying components (commonly referred to as passenger cars, cabins, tubs, capsules, gondolas, or pods) attached to the rim in such a way that as the wheel turns, they are kept upright, usually by gravity.

## Figure skating

Figure skating is a sport in which individuals, duos, or groups perform on figure skates on ice.

## Flight dynamics

Flight dynamics is the study of the performance, stability, and control of vehicles flying through the air or in outer space.

## Flip (acrobatic)

An acrobatic flip is a sequence of body movements in which a person leaps into the air and then rotates one or more times while airborne.

## Football

Football is a family of team sports that involve, to varying degrees, kicking a ball with a foot to score a goal.

## Frequency

Frequency is the number of occurrences of a repeating event per unit of time.

## Frisbee

A frisbee (also called a flying disc or simply a disc) is a gliding toy or sporting item that is generally plastic and roughly in diameter with a lip, used recreationally and competitively for throwing and catching, for example, in flying disc games.

## Galaxy

A galaxy is a gravitationally bound system of stars, stellar remnants, interstellar gas, dust, and dark matter.

## Gimbal

A gimbal is a pivoted support that allows the rotation of an object about a single axis.

## Gravity

Gravity, or gravitation, is a natural phenomenon by which all things with mass or energy—including planets, stars, galaxies, and even light—are brought toward (or gravitate toward) one another.

## Group (mathematics)

In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.

## Gymnastics

Gymnastics is a sport that requires balance, strength, flexibility, agility, coordination, and endurance.

## Gyroscope

A gyroscope (from Ancient Greek γῦρος gûros, "circle" and σκοπέω skopéō, "to look") is a device used for measuring or maintaining orientation and angular velocity.

## Hockey

Hockey is a sport in which two teams play against each other by trying to maneuver a ball or a puck into the opponent's goal using a hockey stick.

## Homogeneity and heterogeneity

Homogeneity and heterogeneity are concepts often used in the sciences and statistics relating to the uniformity in a substance or organism.

## Integral

In mathematics, an integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.

## Inverse element

In abstract algebra, the idea of an inverse element generalises concepts of a negation (sign reversal) in relation to addition, and a reciprocal in relation to multiplication.

## Isotropy

Isotropy is uniformity in all orientations; it is derived from the Greek isos (ἴσος, "equal") and tropos (τρόπος, "way").

## Joystick

A joystick is an input device consisting of a stick that pivots on a base and reports its angle or direction to the device it is controlling.

## Lagrangian mechanics

Lagrangian mechanics is a reformulation of classical mechanics, introduced by the Italian-French mathematician and astronomer Joseph-Louis Lagrange in 1788.

## List of amusement rides

Amusement rides, sometimes called carnival rides, are mechanical devices or structures that move people to create enjoyment.

## List of railroad truck parts

A bogie or railroad truck holds the wheel sets of a rail vehicle.

## Mach's principle

In theoretical physics, particularly in discussions of gravitation theories, Mach's principle (or Mach's conjecture) is the name given by Einstein to an imprecise hypothesis often credited to the physicist and philosopher Ernst Mach.

## Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

## Moment of inertia

The moment of inertia, otherwise known as the angular mass or rotational inertia, of a rigid body is a tensor that determines the torque needed for a desired angular acceleration about a rotational axis; similar to how mass determines the force needed for a desired acceleration.

## Noether's theorem

Noether's (first) theorem states that every differentiable symmetry of the action of a physical system has a corresponding conservation law.

## Nutation

Nutation (from Latin nūtātiō, "nodding, swaying") is a rocking, swaying, or nodding motion in the axis of rotation of a largely axially symmetric object, such as a gyroscope, planet, or bullet in flight, or as an intended behavior of a mechanism.

## Orbit

In physics, an orbit is the gravitationally curved trajectory of an object, such as the trajectory of a planet around a star or a natural satellite around a planet.

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## Orientation (geometry)

In geometry the orientation, angular position, or attitude of an object such as a line, plane or rigid body is part of the description of how it is placed in the space it occupies.

## Physical law

A physical law or scientific law is a theoretical statement "inferred from particular facts, applicable to a defined group or class of phenomena, and expressible by the statement that a particular phenomenon always occurs if certain conditions be present." Physical laws are typically conclusions based on repeated scientific experiments and observations over many years and which have become accepted universally within the scientific community.

## Planet

A planet is an astronomical body orbiting a star or stellar remnant that is massive enough to be rounded by its own gravity, is not massive enough to cause thermonuclear fusion, and has cleared its neighbouring region of planetesimals.

## Pluto

Pluto (minor planet designation: 134340 Pluto) is a dwarf planet in the Kuiper belt, a ring of bodies beyond Neptune.

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## Pole star

Pole star or polar star refers to a star, preferably bright, closely aligned to the axis of rotation of an astronomical object.

## Precession

Precession is a change in the orientation of the rotational axis of a rotating body.

## Pseudovector

In physics and mathematics, a pseudovector (or axial vector) is a quantity that transforms like a vector under a proper rotation, but in three dimensions gains an additional sign flip under an improper rotation such as a reflection.

## Redshift

In physics, redshift happens when light or other electromagnetic radiation from an object is increased in wavelength, or shifted to the red end of the spectrum.

## Right-hand rule

In mathematics and physics, the right-hand rule is a common mnemonic for understanding orientation conventions for the vector cross product in three dimensions.

## Rigid body

In physics, a rigid body is a solid body in which deformation is zero or so small it can be neglected.

## Roll (gymnastics)

A roll is the most basic and fundamental skill in gymnastics.

## Roller coaster inversion

A roller coaster inversion is a roller coaster element in which the track turns riders upside-down and then returns them to an upright position.

## Rolling

Rolling is a type of motion that combines rotation (commonly, of an axially symmetric object) and translation of that object with respect to a surface (either one or the other moves), such that, if ideal conditions exist, the two are in contact with each other without sliding.

## Rotating locomotion in living systems

Several organisms are capable of rolling locomotion; however, true wheels and propellers—despite their utility in human vehicles—do not appear to play a significant role in the movement of living things (with the exception of certain flagella, which function like corkscrews).

## Rotating reference frame

A rotating frame of reference is a special case of a non-inertial reference frame that is rotating relative to an inertial reference frame.

## Rotation (aeronautics)

In aviation, rotation refers to the action of applying back pressure to a control device, such as a yoke, side-stick or centre stick, to lift the nose wheel off the ground during the takeoff roll.

## Rotation around a fixed axis

Rotation around a fixed axis or about a fixed axis of revolution or motion with respect to a fixed axis of rotation is a special case of rotational motion.

## Rotation formalisms in three dimensions

In geometry, various formalisms exist to express a rotation in three dimensions as a mathematical transformation.

## Rotational speed

Rotational speed (or speed of revolution) of an object rotating around an axis is the number of turns of the object divided by time, specified as revolutions per minute (rpm), cycles per second (cps), radians per second (rad/s), etc..

## Screw

A screw is a type of fastener, in some ways similar to a bolt (see Differentiation between bolt and screw below), typically made of metal, and characterized by a helical ridge, known as a male thread (external thread).

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## Snowboarding

Snowboarding is a recreational activity and Olympic and Paralympic sport that involves descending a snow-covered slope while standing on a snowboard attached to a rider's feet.

## Solar System

The Solar SystemCapitalization of the name varies.

## Somersault

A somersault (also flip, heli, and in gymnastics salto) is an acrobatic exercise in which a person's body rotates 360° around a horizontal axis with the feet passing over the head.

## Spheroid

A spheroid, or ellipsoid of revolution, is a quadric surface obtained by rotating an ellipse about one of its principal axes; in other words, an ellipsoid with two equal semi-diameters.

## Spin bowling

Spin bowling is a bowling technique in cricket and the bowler is referred to as a spinner.

## Star

A star is type of astronomical object consisting of a luminous spheroid of plasma held together by its own gravity.

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## Stellar rotation

Stellar rotation is the angular motion of a star about its axis.

## Sun

The Sun is the star at the center of the Solar System.

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## Swing ride

The swing ride or chair swing ride (sometimes called a swing carousel, wave swinger, yo-yo, Chair-O-Planes or swinger) is an amusement ride that is a variation on the carousel in which the chairs are suspended from the rotating top of the carousel.

## Table tennis

Table tennis, also known as ping-pong, is a sport in which two or four players hit a lightweight ball back and forth across a table using small bats.

## Tennis

Tennis is a racket sport that can be played individually against a single opponent (singles) or between two teams of two players each (doubles).

## Top

A spinning top is a toy designed to spin rapidly on the ground, the motion of which causes it to remain precisely balanced on its tip because of its rotational inertia.

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## Torque

Torque, moment, or moment of force is rotational force.

## Translation (geometry)

In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction.

## Turn (geometry)

A turn is a unit of plane angle measurement equal to 2pi radians, 360 degrees or 400 gradians.

## Uranus

Uranus is the seventh planet from the Sun.

## Venus

Venus is the second planet from the Sun, orbiting it every 224.7 Earth days.

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## Water skiing

Water skiing (also waterskiing or water-skiing) is a surface water sport in which an individual is pulled behind a boat or a cable ski installation over a body of water, skimming the surface on two skis or one ski.

## Wolfram Demonstrations Project

The Wolfram Demonstrations Project is an organized, open-source collection of small (or medium-size) interactive programs called Demonstrations, which are meant to visually and interactively represent ideas from a range of fields.

## References

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