Determining Tension of Wire with Frequency, Wavelength and Amplitude

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SUMMARY

The tension of a wire can be determined using the formula V = sqrt(T/μ), where V is the wave propagation speed, T is the tension, and μ is the linear mass density. In this discussion, the wave's propagation speed is given as 469.43 m/s, and the linear mass density is 11 g/m (or 0.011 kg/m). By rearranging the formula, the tension can be calculated as T = μV². Substituting the values, the tension of the wire is found to be 2.43 N.

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  • Concept of wave propagation speed
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Seablew4
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The question is A harmonic wave in a wire has amplitude 6.32mm, wavelength 2.99m, and frequency 157hz. The propagation speed of the wave is 469.43 m/s
The wire has a linear mass density of 11 g/m.
How do I determine the wire's tension?

I can't figure out what equation to use.
 
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Hi Seablew4, welcome to PF.
Velocity in the wire V = sqrt(T/m).
Neglect the other data.
 

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