Power and Amplitude of sound wave

[Trooko]

For my homework,
To find Amplitude of the wave,
for a longitudinal wave traveling down a copper rod.
Given: frequency, radius of copper rod, average power, Young's constant, density, wavelength.
what equation should I consider?
I'm thinking something like P=(omega*amplitud)^2 because I know power is proportional to amplitude and frequency of the wave...but I know that's wrong.

 

[Astronuc]

The displacement amplitude A is given by:

A\,=\,\frac{\Delta{p_o}}{\omega\,\rho\,c}, where

\Delta{p_o} is the pressure amplitude,

\omega is the angular frequency given by 2\,\pi\,f,

\rho is the material density, and

c = speed of sound in the material, which is given by -

c = \sqrt{\frac{E}{\rho}}

where E is Young's (Elastic) modulus.


The intensity of the sound wave is I = P/a, where P is the power of the wave per unit transverse area, a, and

P = 1/2 \omega^2A²\rho c