Phase speed of wave on stretched string

The phase speed of a wave on a stretched ideal string is set by properties of the string and not by properties of the wave such as frequency and amplitude.

Links:

  1. Wikipedia, formula 16.4.7.

phase_speed

phase_speed of the wave.

Symbol:

v

Latex:

\(v\)

Dimension:

velocity

tension

tension in the string.

Symbol:

T

Latex:

\(T\)

Dimension:

force

linear_density

linear_density of the string, i.e. its mass per units length.

Symbol:

mu

Latex:

\(\mu\)

Dimension:

mass/length

law

v = sqrt(T / mu)

Latex:
\[v = \sqrt{\frac{T}{\mu}}\]