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