The cord of a musical instrument is fixed at both ends and has a length 2 m, diameter 0. 5 mm, and density 7800 kg/m3. Find the tension required in order to have a fundamental frequency of 1 hz

Respuesta :

The tension required in order to have a fundamental frequency of 1 hz will be 0.0245 N

What is tension force?

The tension force is described as the force transferred through a rope, string, or wire as it is pulled by opposing forces.

The tension force is applied along the whole length of the wire, pulling energy equally on both ends.

The given data is;

L=2m

d=0.5 mm

ρ=7800 kg/m³

f=1 Hz

The mass of the string is found as;

[tex]\rm m= \rho A L \\\\ m = 7800 \times \frac{\pi}{4}\times 0.0005^2\times 2 \\\\ m= 3.06 \times 10^{-3}[/tex]

The fundamental frequency of the string is found as;

[tex]\rm f= \frac{\sqrt{TL/m} }{2L} \\\\ T=0.0245 \ N[/tex]

Hence,the tension required in order to have a fundamental frequency of 1 hz will be 0.0245 N

To learn more about the tension force, refer to the link;

https://brainly.com/question/2287912

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