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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Spatial acceleration ： ウィキペディア英語版 Spatial acceleration In physics the study of rigid body motion provides for several ways of defining the acceleration state of a rigid body. The classical definition of acceleration entails following a single particle/point along the rigid body and observing its changes of velocity. In this article the notion of spatial acceleration is explored, which entails looking at a fixed (unmoving) point in space and observing the changes of velocity of whatever particle/point happens to coincide with the observation point. This is similar to the acceleration definition fluid dynamics where typically one can measure velocity and/or accelerations on a fixed locate inside a testing apparatus. == Definition == Consider a moving rigid body and the velocity of a particle/point ''P'' along the body being a function of the position and velocity of a center particle/point ''C'' and the angular velocity $\backslash vec\; \backslash omega$. The linear velocity vector $\backslash vec\; v\_P$ at ''P'' is expressed in terms of the velocity vector $\backslash vec\; v\_C$ at ''C'' as: $\backslash vec\; v\_P\; =\; \backslash vec\; v\_C\; +\; \backslash vec\; \backslash omega\; \backslash times\; (\backslash vec\; r\_P-\backslash vec\; r\_C)$ where $\backslash vec\; \backslash omega$ is the angular velocity vector. The material acceleration at ''P'' is: $\backslash vec\; a\_P\; =\; \backslash frac\; \backslash vec\; v\_P\}\; t\}$ $\backslash vec\; a\_P\; =\; \backslash vec\; a\_C\; +\; \backslash vec\; \backslash alpha\; \backslash times\; (\backslash vec\; r\_P-\backslash vec\; r\_C)\; +\; \backslash vec\; \backslash omega\; \backslash times\; (\backslash vec\; v\_P-\backslash vec\; v\_C)$ where $\backslash vec\; \backslash alpha$ is the angular acceleration vector. The spatial acceleration $\backslash vec\; \backslash psi\_P$ at ''P'' is expressed in terms of the spatial acceleration $\backslash vec\; \backslash psi\_C$ at ''C'' as: $\backslash vec\; \backslash psi\_P\; =\; \backslash frac$ $\backslash vec\_\; =\; \backslash vec\_+\backslash vec\backslash times(\backslash vec\_-\backslash vec\_)$ which is similar to the velocity transformation above. In general the spatial acceleration $\backslash vec\; \backslash psi\_P$ of a particle point ''P'' that is moving with linear velocity $\backslash vec\; v\_P$ is derived from the material acceleration $\backslash vec\; a\_P$ at ''P'' as: $\backslash vec\_=\backslash vec\_-\backslash vec\backslash times\backslash vec\_$ } 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Spatial acceleration」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.