Answer:
The tension to bring the guitar string into tune is 372.95 Hz.
Explanation:
Given;
current frequency, f₁ = 248 Hz
current tension, T₁ = 350 N
fundamental frequency, f₂ = 256
The tension on the string to bring the guitar string into tune is calculated as;
[tex]v = \sqrt{\frac{T}{\mu} } \\\\f\lambda = \sqrt{\frac{T}{\mu} } \\\\f^2\lambda^2 = \frac{T}{\mu} \\\\f^2 = \frac{T}{\mu \lambda^2}\\\\let \ {\mu \lambda^2} = k\\\\f^2 =\frac{T}{k} \\\\k = \frac{T}{f^2} \\\\\frac{T_1}{f_1^2} = \frac{T_2}{f_2^2}\\\\T_2 = \frac{T_1 f_2^2}{f_1^2} \\\\T_2 = \frac{350 \times 256^2}{248^2} \\\\T_2 = 372.95 \ Hz[/tex]
Therefore, the tension to bring the guitar string into tune is 372.95 Hz.
