# Finding the possible frequencies of a tuning fork

1. Nov 23, 2009

### chris097

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

A 0.0120 kg, 2.05 m long wire is fixed at both ends and vibrates in its simplest mode under a tension of 202 N. When a tuning fork is placed near the wire, a beat frequency of 5.10 Hz is heard. What are the possible frequencies of the tuning fork? (enter the smaller frequency first) (It asks for 2 answers)

2. Relevant equations

f = √(TL/m)/2L
fb = |f1 - f2|

3. The attempt at a solution

I first found the frequency of the string using equation 1 then I simply thought that the frequency of the tuning fork would always be multiples of 5.10 Hz from the frequency of the fork. So i got answers like 50.4, 50.5...

Thanks!!

2. Nov 23, 2009

### willem2

Just use the second equation you listed in section 2. you know $f_b$ and $f_1$ so what can $f_2$ be?

3. Nov 23, 2009

### chris097

I end up getting 50.4 and 55.5 Hz, which is wrong.

4. Nov 23, 2009

### Delphi51

f - 5.1 and f + 5.1