Values for physical constants are commonly given as abstractions without building strong intuition, and are too often utilized solely in the pursuit of more easily con-ceptualized properties. The goal of this experiment is to remove the obscurity behind Young’s modulus by exploring the phenomena associated with it—namely, the frequency of a plucked guitar string in relation to a change in length. By tightening a guitar string around the tuning peg, the string is stretched by small increments, creating a tension force FT on the string.
Here, Y is Young’s modulus, A is the cross-sectional area of the string, L0 is the initial length, and ΔL is the change in string length. In this work, we assume that the tension force is constant throughout the string and is not affected by being wrapped around the tuning peg....