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Answer :
The wave speed on a string is given by the equation:
v = sqrt(T/μ)
where v is the wave speed, T is the tension in the string, and μ is the linear mass density of the string (mass per unit length).
In this case, the linear mass density of the steel guitar string is given as 1.95 g/m, which can be converted to SI units as:
μ = 1.95 g/m ÷ 1000 g/kg = 0.00195 kg/m
The tension on the string is given as 66.9 N. Substituting these values into the equation for wave speed, we get:
v = sqrt(T/μ) = sqrt(66.9 N / 0.00195 kg/m) = 121.5 m/s
Therefore, the wave speed on the steel guitar string is 121.5 m/s.
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