The speed of longitudinal waves traveling in a long, solid rod is given by v = w

Question

The speed of longitudinal waves traveling in a long, solid rod is given by v = where Y is Young's modulus and r is the density of the solid. If a disturbance has a frequency of 41 Hz, what is the wavelength of the waves it produces in an aluminum rod Express your answer using two significant figures. If a disturbance has a frequency of 41 Hz , what is the wavelength of the waves it produces in a copper rod Express your answer using two significant figures.

Explanation / Answer

velocity of waves in Al rod=sqrt(70/2.7)*10^3=5091.75m/s But v=f*lambda and given f=41 ==> lambda= 5091.75/41=124.18m For copper rod v=Sqrt(110/8.9)*10^3=3515.61 lambda=3515.61/41=85.74m

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