Linear density

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For other meanings of density, see Density (disambiguation)

Linear density, linear mass density or linear mass is a measure of mass per unit of length, and it is a characteristic of strings or other one-dimensional objects. The SI unit of linear density is the kilogram per metre (kg/m). It is defined as:

\mu = \frac{\partial m}{\partial x}

where μ is the linear density of the object, m is the mass, and x is a coordinate along the (one dimensional) object.

For the common case of a homogenous substance of length L and total mass m, this simplifies to:

\mu = \frac{m}{L}

The term linear density also refers to how dense a line is drawn.

[edit] Units

Common units include:

  • denier
  • dtex (decitex) - Unit of the SI
  • kilogram per metre
  • ounce (mass) per foot.
  • ounce (mass) per inch
  • pound (mass) per foot
  • pound (mass) per inch

[edit] See also

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