How to Find Linear Density

Linear density is a type of mass density. Unlike the most common type of mass density, it is a ratio of an object's mass and length instead of the object's mass and volume. This concept is useful in many physics and engineering applications.
  1. Identification

    • Since linear density is a ratio, it is calculated by dividing the object's mass by its length. If the mass and length are not known, they can usually be measured directly with a scale and measuring tape or other equivalent measuring devices.

    Function

    • Using linear density and other mass densities is helpful when calculating moments of inertia. Transforming the variable being integrated from distance to mass simplifies the calculation immensely. Making a second substitution after the integral has been calculated gives the desired equation for moment of inertia.

    Types

    • Any property that is spatially distributed can be divided by volume, area or length, giving a density value. For example, energy density and number density are both commonly used in the sciences.

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