Transverse wave through a wire, and tension.

[jmm5872]

A transverse wave in a wire with a linear density 2.35 g/m has the form y(x,t) = (1.4 cm)sin[(5.45 m^-1)x−(6950 s^-1)t].
What is the tension?


I took the A=.014m, k=5.45 /m, and $$\omega$$=6950.

I used the formula for the max velocity = A$$\omega$$
v=(.014)(6950)=97.3

Then I used the formula for the speed of a wave on a string v=$$\sqrt{\frac{F}{M/L}}$$.
97.3=$$\sqrt{\frac{F}{.00235}}$$

And I got F=22.24813

This was not the correct answer. I would appreciate any advice.

I attempted to find the velocity of the pulse : (0.943s)(3.29m)(8)=24.81976

 

[VelvetRebel]

Try using this equation for velocity:

v=$$\omega$$/k

 

[jmm5872]

Am I right in assuming that 6950 is omega? The problem says 6950 /s, not radians/s. Is this still omega?

 

[VelvetRebel]

Yes, that is still omega.

 

[jmm5872]

That worked, thank you very much.