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On a cello, the string with the largest linear density (1.44 x 10-2 kg/m) is the C string. This string produces a fundamental frequency of 93.0 Hz and has a length of 0.834 m between the two fixed ends. Find the tension in the string.

Respuesta :

okpalawalter8

Answer:

[tex]T=346.5N[/tex]

Explanation:

From the question we are told that:

Density [tex]\rho= (1.44 * 10^{-2} kg/m)[/tex]

Frequency[tex]F=93.0Hz[/tex]

Length[tex]l=0.834m[/tex]

Generally the equation for Frequency is mathematically given by

[tex]F=\frac{1}{2 l}sqrt{\frac{T}{\rho}}[/tex]

Therefore

[tex]T=\rho(2 lF)^2[/tex]

[tex]T= (1.44 * 10^{-2}*(2*0.834)(93.0))^2[/tex]

[tex]T=346.5N[/tex]

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