Calculating Length of Stretched Wire from Frequency

AI Thread Summary
To calculate the length of a stretched wire from its second harmonic frequency, the relevant formula is L = λ/2, where λ is the wavelength. The wave velocity can be determined using the formula v = √(T/u), with T being the tension and u the mass per unit length. For the second harmonic, the wavelength equals the length of the wire. By applying the relationship v = λf, where f is the frequency, the length can be calculated accurately. Understanding these formulas is crucial for solving the problem effectively.
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Homework Statement



The second harmonic frequency on a stretched wire, with a tension of 50 N and a mass per unit length density of 0.025 kg m-1, is measured to be 200 Hz. What is the length of the wire?

Homework Equations


L=λ/2

The Attempt at a Solution


As far as I've discovered i must find L, but i am not sure if this is the correct formula:
L=λ/2

In case it is correct, then what is the relation between mass, frequency,tension and length.

If it is not, then what formula i should use in order to get length?

I searched throughout google, but i couldn't find any other formulas. Totally confused:/
 
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someone?
 


Hi. The velocity of the propagating wave v=\sqrt{\frac{T}{u}} where {u} is the mass per unit length.

In the second harmonic frequency, \lambda = L.

Use v=\lambda{f} to solve the rest.
 
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