Question

The velocity V of a transverse way along a stressed string depends on a stress P linear density (rho) of the material and its length L. What is the actual equation?

Answer 1

The equation that relates the velocity of a transverse wave along a stressed string to the stress, linear density of the material, and the length of the string is known as the wave equation. It is given by:

V = √(P/ρ),

where: V is the velocity of the transverse wave, P is the stress applied to the string, ρ (rho) is the linear density of the string material.

This equation shows that the velocity of the wave is proportional to the square root of the stress applied to the string, and inversely proportional to the square root of the linear density of the material.