WHAT IS THE DIMENTION OF "LINER DENSITY"
Answers
Each infinitesimal unit of mass, , is equal to the product of its linear mass density, , and the infinitesimal unit of length, : The SI unit of linear mass density is the kilogram per meter (kg/m). Linear density of fibers and yarns can be measured by many methods.
Answer:
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}:
{\displaystyle m={\frac {M}{L}}}
If we describe the rod as having a varying mass (one that varies as a function of position along the length of the rod, {\displaystyle l}), we can write:
{\displaystyle m=m(l)}
Each infinitesimal unit of mass, {\displaystyle dm}, is equal to the product of its linear mass density, {\displaystyle \lambda _{m}}, and the infinitesimal unit of length, {\displaystyle dl}:
{\displaystyle dm=\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 {\displaystyle \lambda _{m}={\frac {dm}{dl}}})
The SI unit of linear mass density is the kilogram per meter (kg/m).
Linear density of fibers and yarns can be measured by many methods. The simplest one is to measure a length of material and weigh it.