contestada

The fundamental (LaTeX: n=1 n = 1 harmonic or mode) frequency created on a stretched string with fixed ends occurs when the string is driven at a frequency of 50 Hz. If the tension in this string is doubled without changing its mass density, what would be the new fundamental frequency?

Respuesta :

Answer:[tex]\sqrt{2}f[/tex]

Explanation:

Given

Fundamental Frequency(f) is 50 Hz

and frequency is given by

[tex]f=\frac{1}{2L}\sqrt{\frac{T}{\mu }}---1[/tex]

Where T= tension

[tex]\mu [/tex]=mass per unit length

if tension is doubled

[tex]f'=\frac{1}{2L}\sqrt{\frac{2T}{\mu }}---2[/tex]

Divide 1& 2

[tex]\frac{f}{f'}=\sqrt{\frac{T}{2T}}[/tex]

[tex]f'=\sqrt{2}f[/tex]

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