Answer:
74 N
Explanation:
T = Tension in the string = 74 N
[tex]\rho[/tex] = Density of the steel = 7800 kg/m³
A = Area = [tex]\pi r^2[/tex]
r = Radius = [tex]8.5\times 10^{-4}\ m[/tex]
Linear density is given by
[tex]\mu=\rho A\\\Rightarrow \mu=7800\times \pi (8.5\times 10^{-4})^2\\\Rightarrow \mu=0.0177\ kg/m[/tex]
The linear density is 0.0177 kg/m
Velocity is given by
[tex]v=\sqrt{\dfrac{T}{\mu}}\\\Rightarrow v=\sqrt{\dfrac{74}{0.0177}}\\\Rightarrow v=64.65903\ m/s[/tex]
The velocity of the wave on the guitar string is 64.65903 m/s
