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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 Linear density ： ウィキペディア英語版 Linear density Linear density is the measure of a quantity of any characteristic value per unit of length. Linear mass density (titer in textile engineering, the amount of mass per unit length) and linear charge density (the amount of electric charge per unit length) are two common examples used in science and engineering. The term linear density is most often used when describing the characteristics of one-dimensional objects, although linear density can also be used to describe the density of a three-dimensional quantity along one particular dimension. Just as density is most often used to mean mass density, the term linear density likewise often refers to linear mass density. However, this is only one example of a linear density, as any quantity can be measured in terms of its value along one dimension. ==Linear mass density== Consider a long, thin rod of mass $M$ and length $L$. To calculate the average linear mass density, $\backslash bar\backslash lambda\_m$, of this one dimensional object, we can simply divide the total mass, $M$, by the total length, $L$: :$\backslash bar\backslash lambda\_m\; =\; \backslash frac$ If we describe the rod as having a varying mass (one that varies as a function of position along the length of the rod, $l$), we can write: :$m\; =\; m(l)$ Each infinitesimal unit of mass, $dm$, is equal to the product of its linear mass density, $\backslash lambda\_m$, and the infinitesimal unit of length, $dl$: :$dm\; =\; \backslash lambda\_m\; dl$ The linear mass density can then be understood as the derivative of the mass function with respect to the one dimension of the rod (the position along its length, $l$). :$\backslash lambda\_m\; =\; \backslash frac$ The SI unit of linear mass density is the kilogram per meter (kg/m). 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「Linear density」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.