Calculating the Natural Frequency of a String Under Tension

Stringed musical instruments rely on the principle that a string under tension vibrates at a natural frequency that is a function of the string's length, the string's linear density, and the string's tension. The EngineeringPaper.xyz sheet below shows how to calculate the natural frequency of a wire under tension using a guitar's High E string as an example. 

This wire natural frequency example sheet may also be opened in a separate tab.

Calculating the Natural Frequency of a String Under Tension
by u/mgreminger in EngineeringPaperXYZ