Guitar String Waves and Musical Notes

Guitar string waves depend on linear mass density, tension, and string length. Linear mass density means the mass per unit length of the string. When the density stays constant along the string, it equals the total mass divided by the total length. Changing this linear density can change the wave speed.

A six-string guitar with a standard effective string length plays the fundamental frequency when the low E string is plucked. What is the tension in the low E string if its linear density is known?

The fundamental wavelength is twice the effective string length.

The wave speed is the fundamental wavelength multiplied by the fundame...