What is linear mass density?

Linear mass density, also known as linear density or linear mass, is a physical quantity that describes the mass per unit length of a one-dimensional object. It is a measure of how much mass is distributed along a given length of the object.

The linear mass density (λ) is defined mathematically as the mass (m) of the object divided by its length (L):

λ = m / L

The SI unit of linear mass density is kilograms per meter (kg/m). However, other units such as grams per centimeter (g/cm) or pounds per foot (lb/ft) can also be used, depending on the system of units being used.

Linear mass density is commonly encountered in various contexts. For example, in physics, it is used to describe the mass distribution along a thin wire or a string. In engineering, it is relevant for describing the mass per unit length of cables, ropes, or structural elements. It is also used in materials science to characterize fibers or filaments.