Linear Density Calculator

Enter the mass of an object and the characteristic length into the calculator to determine the linear density.

Linear Density Formula

The following formula is used to calculate a linear density.

Ld = M / L

  • Where Ld is the linear density
  • M is the mass
  • L is the length

Linear Density Definition

A linear density is defined as the total mass per unit of length of an object. This is opposed to a normal density that is a mass per unit volume.

Is linear density constant?

Linear density is constant only if the mass of the object is constant along the length being measured. For example, if you are looking a rod with even mass along the entire length, then no matter what section you look at the linear density will be constant.

Does linear density change with tension?

Yes, a linear density will change if a tension is applied to an object. While the tension does not effect the mass, it will change the length of the object which would change the linear density.

What is a linear charge density?

A linear charge density is a measure of the total amount of charge per unit length of an electrical system or wire. More information can be found with this Surface Charge Density Calculator.

How to find linear density of a string?

First, you must measure the total mass of the string. Using an accurate scale, take the mass of the string. Next, you must straighten the string and measure the total length. Finally, use the formula Ld= M / L to calculate the linear density of the string.

Linear Density Example

How to calculate linear density?

  1. First, determine the length.

    Measure the overall length or characteristic length of the object.

  2. Next, determine the mass.

    Measure the mass of the length or section.

  3. Finally, calculate the linear density.

    Calculate the linear density using the formula above.


What is a linear density?

A linear density is a measure of the mass per unit length of an object.

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