1. Dec 7, 2009

### sowmit

1. The problem statement, all variables and given/known data
A 60 cm guitar string under a tension of 50.000N has a mass per unit length of 0.100 g/cm. What is the highest resonant frequency that can be heard by a person capable of hearing frequencies up to 20000 HZ?

2. Relevant equations

f= n/2L * sqrt(F/ greek letter mu)

wavelength = velocity/ frequency. ($$\lambda$$= v*f)

3. The attempt at a solution

I have mu = .100g/cm = .01 kg/m
f= 20000 HZ (not sure if this applies)
L= 60 cm = .6m

When I use,
f= n/2L * sqrt(F/ greek letter mu), I don't have n and I don't know how to find it.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Dec 7, 2009

### Matterwave

n is the highest integer that would not make f>20,000

3. Dec 7, 2009

### sowmit

But I am not sure how to find it. Anyhelp?

4. Dec 7, 2009

### ojs

isolate the frequency equation you have for n, find what n you get by setting 20.000 Hz for f, then take the floor of that n (so if you get 2.92344 use n = 2).

5. Dec 7, 2009

### sir_manning

n must be an integer, so if you are given a frequency your equations allow you to check if it is a resonance frequency. Is 20,000 Hz a resonance frequency? What does this tell you about n?

6. Dec 7, 2009

### Staff: Mentor

You are asking for our help on your take-home final exam? Could you please PM me the contact information for your professor, so that I can check that s/he is okay with this?

7. Dec 7, 2009

### sowmit

Well it's not final exam. It's final hw problem set which is worth 15% of our grades. And this problem set is consisted of 4 hw problems and if I get one wrong, the whole 15% is gone. And you don't even have to ask him. All the students are allowed to get all the help they can in order to finish these problems. He even suggested us some solution book that I didn't buy just for doing 4 physics problems.

8. Dec 7, 2009

### Staff: Mentor

So far in this thread, I've seen zero effort by you to solve the question. You are just trolling for help. Post your attempt at a solution, and make it good. We do not do you schoolwork for you here.