Posted by **Susan** on Thursday, March 4, 2010 at 12:00pm.

Please help me with this calculation

__________________ <- A vibrating wire which is 4cm long

Diameter= 0.0002m

Frequency= 2500Hz

density of carbon steel= 7700kg/m3

How do i find the tension of this wire?

This is some of the equations which we should be using: v= √T/µ, v=fλ, f=(n/2l) *(√T/µ)

- As Physics -
**drwls**, Thursday, March 4, 2010 at 12:32pm
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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