String Size Calculator

Calculate Linear Density of a String





Formula

The formula to calculate the linear density of a string (μ) is:

\[ \mu = \frac{T}{L^2 \cdot f^2} \]

Where:

What is String Size?

String size, in this context, refers to the linear density of a string, which is a measure of mass per unit length. It is a crucial parameter in the physics of musical instruments and other applications where strings are under tension and produce vibrations. The linear density affects the frequency of the note produced when the string is plucked or bowed.

Example Calculation

Let's assume the following values:

Using the formula:

\[ \mu = \frac{100}{(1.5)^2 \cdot (440)^2} = \frac{100}{1.5^2 \cdot 440^2} \approx 0.000230 \text{ kg/m} \]

The Linear Density ((\mu)) is approximately 0.000230 kg/m.