回転加速
WordNet
- (mathematics) a transformation in which the coordinate axes are rotated by a fixed angle about the origin
- the act of rotating as if on an axis; "the rotation of the dancer kept time with the music" (同)rotary motion
- a planned recurrent sequence (of crops or personnel etc.); "crop rotation makes a balanced demand on the fertility of the soil"; "the manager had only four starting pitchers in his rotation"
- a single complete turn (axial or orbital); "the plane made three rotations before it crashed"; "the revolution of the earth about the sun takes one year" (同)revolution, gyration
- the act of accelerating; increasing the speed (同)quickening, speedup
- an increase in rate of change; "modern science caused an acceleration of cultural change"
- (physics) a rate of increase of velocity
- of or pertaining to rotation; "rotational inertia"
PrepTutorEJDIC
- 〈U〉〈C〉回転 / 〈U〉〈C〉(地球・天体の)自転 / 〈U〉循環;交替;(作物の)輪作
- 加速 / 加速度
Wikipedia preview
出典(authority):フリー百科事典『ウィキペディア（Wikipedia）』「2014/02/27 10:08:22」(JST)
[Wiki en表示]
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Radians per second squared
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| Unit system |
SI derived unit |
| Unit of |
Angular acceleration |
| Symbol |
rad/s2 or rad⋅s−2 |
| Classical mechanics |
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Branches
- Statics
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- Kinematics
- Applied mechanics
- Celestial mechanics
- Continuum mechanics
- Statistical mechanics
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Fundamental concepts
- Velocity
- Speed
- Acceleration
- Torque / Moment / Couple
- Angular momentum
- Moment of inertia
- Frame of reference
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- Mechanical work
- Mechanical power
- Virtual work
- D'Alembert's principle
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Core topics
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Rigid body
- (dynamics
- Euler's equations)
- Motion (linear)
- Euler's laws of motion
- Newton's laws of motion
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Newton's law of
universal gravitation
- Equations of motion
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Inertial / Non-inertial
reference frame
- Fictitious force
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Mechanics of planar
particle motion
- Displacement (vector)
- Relative velocity
- Friction
- Simple harmonic motion
- Harmonic oscillator
- Vibration
- Damping (ratio)
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Rotational motion
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- Rotating reference frame
- Centripetal force
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Centrifugal force
- (rotating reference frame
- reactive)
- Coriolis force
- Pendulum
- Tangential / Rotational speed
- Angular acceleration
- Angular velocity
- Angular frequency
- Angular displacement
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Scientists
- d'Alembert
- Clairaut
- Lagrange
- Daniel / Johann Bernoulli
- Cauchy
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Angular acceleration is the rate of change of angular velocity. In SI units, it is measured in radians per second squared (rad/s2), and is usually denoted by the Greek letter alpha (α).[1]
Contents
- 1 Mathematical definition
- 2 Equations of motion
- 2.1 Constant acceleration
- 2.2 Non-constant acceleration
- 3 See also
- 4 References
Mathematical definition[edit]
The angular acceleration can be defined as either:
- , or
- ,
where is the angular velocity, is the linear tangential acceleration, and , (usually defined as the radius of the circular path of which a point moving along), is the distance from the origin of the coordinate system that defines and to the point of interest.
Equations of motion[edit]
For two-dimensional rotational motion (constant ), Newton's second law can be adapted to describe the relation between torque and angular acceleration:
- ,
where is the total torque exerted on the body, and is the mass moment of inertia of the body.
Constant acceleration[edit]
For all constant values of the torque, , of an object, the angular acceleration will also be constant. For this special case of constant angular acceleration, the above equation will produce a definitive, constant value for the angular acceleration:
Non-constant acceleration[edit]
For any non-constant torque, the angular acceleration of an object will change with time. The equation becomes a differential equation instead of a constant value. This differential equation is known as the equation of motion of the system and can completely describe the motion of the object. It is also the best way to calculate the angular velocity.
See also[edit]
- Angular momentum
- Angular speed
- Angular velocity
- Rotation
- Spin
References[edit]
- ^ http://theory.uwinnipeg.ca/physics/circ/node3.html
UpToDate Contents
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English Journal
- Prediction of Post-Concussive Behavioral Changes in a Rodent Model Based on Head Rotational Acceleration Characteristics.
- Stemper BD1,2,3, Shah AS4,5,6, Chiariello R4,5,6, Olsen CM7,6, Budde MD4,5,6, Glavaski-Joksimovic A4,5,6, McCrea M4,5,6, Kurpad SN4,5, Pintar FA4,5.
- Annals of biomedical engineering.Ann Biomed Eng.2016 May 17. [Epub ahead of print]
- Quantifying injury tolerance for concussion is complicated by variability in the type, severity, and time course of post-injury physiological and behavioral changes. The current study outlined acute and chronic changes in behavioral metrics following rotational acceleration-induced concussion in rat
- PMID 27188340
- The Influence of Knee Flexion Angle for Graft Fixation on Rotational Knee Stability During Anterior Cruciate Ligament Reconstruction: A Biomechanical Study.
- Debandi A1, Maeyama A1, Hoshino Y1, Asai S1, Goto B1, Smolinski P2, Fu FH3.
- Arthroscopy : the journal of arthroscopic & related surgery : official publication of the Arthroscopy Association of North America and the International Arthroscopy Association.Arthroscopy.2016 May 14. pii: S0749-8063(16)00258-9. doi: 10.1016/j.arthro.2016.03.018. [Epub ahead of print]
- PURPOSE: To evaluate the effect of knee flexion angle for hamstring graft fixation, full extension (FE), or 30°, on acceleration of the knee motion during pivot-shift testing after either anatomic or nonanatomic anterior cruciate ligament (ACL) reconstruction using triaxial accelerometry.METHODS: T
- PMID 27189870
- Head Impact Biomechanics in Women's College Soccer.
- Lynall RC1, Clark MD, Grand EE, Stucker JC, Littleton AC, Aguilar AJ, Petschauer MA, Teel EF, Mihalik JP.
- Medicine and science in sports and exercise.Med Sci Sports Exerc.2016 May 14. [Epub ahead of print]
- INTRODUCTION: There are limited non-laboratory soccer head impact biomechanics data. This is surprising given soccer's global popularity. Epidemiological data suggest female college soccer players are at a greater concussion injury risk than their male counterparts. Therefore, the purpose of our stu
- PMID 27187102
Japanese Journal
- Rat brain kinematics and tissue strains associated to Diffuse Axonal Injuries induced by head rotational acceleration
- Antona-Makoshi Jacobo,Davidsson Johan,Ejima Susumu [他]
- 計算工学講演会論文集 Proceedings of the Conference on Computational Engineering and Science 18, 4p, 2013-06
- NAID 40019705681
- 26pEA-17 無衝突降着円盤での磁気回転不安定と粒子加速(26pEA 領域2,地球電磁気・地球惑星圏学会,日本天文学会合同 プラズマ宇宙物理(3学会合同セッション:乱流,輸送,非線形現象),領域2(プラズマ基礎・プラズマ科学・核融合プラズマ・プラズマ宇宙物理))
- 石垣築石部の水平動的載荷時の回転量評価 : もたれ擁壁型小型模型の振動実験
Related Links
- Rotational acceleration is a brain injury resulting from a trauma situation in which the speed of the body is interrupted and unrestricted movement of the head occurs out of synchrony with the movement of the neck, torso, and/or lower limbs of the body.
- According to Blast Motion, “Rotational Acceleration is a measure of how the hitter accelerates the bat into rotation.” This metric displays how quickly the hitter is getting the barrel on plane from their launch position. An easy way to think about rotational acceleration is as the hitter’s 0 to 60 time.
- in rotational acceleration were demonstrated. Possible avenues of further investigation are discussed. Possible avenues of further investigation are discussed. RÉSUMÉ: Mesure de l’accélération rotatoire - Évaluation de la protection conférée par un casque.
★リンクテーブル★
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- 英
- rotational acceleration
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- 関
- clinorotation、convolute、convolution、crop rotation、optical rotation、revolution、revolve、roll、rolling、rotate、rotatory、round、swirling、turn、turning
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- 関
- accelerate、expedite、facilitate、facilitation、further、hasten、promote、promotion
- 同
- 一過性頻脈
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- 関
- rotating