# String Tension not sure on the answer i have.

1. May 26, 2010

### pat666

1. The problem statement, all variables and given/known data
A wire of material having density of 8.0 g.cm-3 is stretched so that its length is increased by 0.10%. The fundamental frequency of transverse vibrations of a part of the wire 50.0 cm long is then 150 Hz. Calculate:

(a) the velocity with which a transverse wave is transmitted along the stretched wire,

(b) the tension per unit area of cross-section of the wire,

(c) Young’s modulus for the material of the wire.

2. Relevant equations

3. The attempt at a solution
I have solved this--- a) is simple the wave length is 0.5*2 therefore the velocity is 150m/s
b) it says per unit area of cross section. however i have rho times Area = mu which ends up giving me a Tension by unit area of 1.8*10^8n*m^2 not per if you get what i mean
c) is simple enough F/A=deltaL/L * Y the Area cancels (suggesting my answer for b is right) and so do the L's leaving a youngs modulus of 1.8*10^9

can someone do this and see if they agree with me please...

2. May 27, 2010

### Mudguard

Hey Pat,

I agree with your answers for all of them. Im not sure if you done b the same as me, but i used v = SQRT.(T/$$\mu$$). I done these before i even looked at your thread so either we bothed stuffed it up, they seem pretty out ..