Posted by Susan on Thursday, March 4, 2010 at 12:00pm.
You need to derive the wave speed in the wire, v, from the mode picture and the frequency, f . Once you know the wave speed, use the equation
v= √(T/µ),
to get the tension, T.
µ is the mass per unit length, which you can get from the density and diameter.
µ = (pi d^2/4)*(density)
You also need the wavelength, λ, and that depends upon the number of nodes, n. I can't see wnhat n is from your straight line sketch.
Your equation f=(n/2l) is wrong. That is the equation for wavelength, λ .
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