(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

What must be the stress (F/A) in a stretched wire of a material whose Young's modulus is Y for the speed of longitudinal waves to equal 30 times the speed of transverse waves?

2. Relevant equations

[itex]Y=\frac{Fl_0}{Al}[/itex]

[itex]v_L=f\lambda = \sqrt{F/\mu}[/itex]

[itex]v_T = \omega A sin(kx-\omega t)[/itex]

3. The attempt at a solution

I know that [itex]v_L=30v_T[/itex] but my main problem is that longitudinal velocity remains constant while transverse velocity is dependent on position and time, making it impossible for one to be a multiple of the other unless they are both equal to 0, which cannot be the case. I'm not sure what I'm missing ... thanks!

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# Speed of longitudinal wave 30 times the speed of a transverse wave?

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