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.

Consider a long, thin rod of mass ${\displaystyle M}$ and length ${\displaystyle L}$. To calculate the average linear mass density, ${\displaystyle {\bar {\lambda }}_{m}}$, of this one dimensional object, we can simply divide the total mass, ${\displaystyle M}$, by the total length, ${\displaystyle L}$:

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