A guitar string of length L = 1.01 m is oriented along the x-direction and under a tension of T = 79 N. The string is made of steel which has a density of ρ = 7800 kg / m3. The radius of the string is r = 4.7 x 10-4 m. A transverse wave of amplitude A = 0.0020 m is formed on the string.   Calculate the mass per unit length μ of the guitar string in kg / m.  Calculate the velocity (in m/s) of a traveling transverse wave on the guitar string.  Assume a form y1 = A sin(α) for the transverse displacement of the string. Enter an expression for α of a transverse wave on a string traveling along the positive x-direction in terms of its wavenumber k, the position x, its angular frequency ω, and the time t?

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A guitar string of length L = 1.01 m is oriented along the x-direction and under a tension of T = 79 N. The string is made of steel which has a density of ρ = 7800 kg / m3. The radius of the string is r = 4.7 x 10-4 m. A transverse wave of amplitude A = 0.0020 m is formed on the string.

 

Calculate the mass per unit length μ of the guitar string in kg / m. 

Calculate the velocity (in m/s) of a traveling transverse wave on the guitar string. 

Assume a form y1 = A sin(α) for the transverse displacement of the string. Enter an expression for α of a transverse wave on a string traveling along the positive x-direction in terms of its wavenumber k, the position x, its angular frequency ω, and the time t
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