Frequency of violin string fingered one third down

[needhelp83]

A violin string vibrates at 294 Hz when unfingered. At what frequency will it vibrate if it is fingered one third of the way down from the end?

How do I determine this w/o length of how far 1/3 of violin string is?

Help anyone!

 

[physics girl phd]

Hint -- you have the information needed to find the length of the string.

 

[Hurkyl]

I thought you needed more information to find the length. But in any case...

How do I determine this w/o length of how far 1/3 of violin string is?

Why do you think you need to know? Have you considered just calling the length L, and seeing if you can do the problem?

 

[MaxPolun]

are you familiar with the relation between wavelength and frequency?

also: what is the speed of sound in air?

 

[DaveC426913]

Does it matter what the actual length is? Surely as Hurkyl points out, length can be simply L. It's merely the freq and the change in length that's important.

 

[needhelp83]

f1= 294 Hz (fundamental frequency)
f2= 2f1=(2)( 294 Hz)= 588 Hz
f3= 3f1=(3)( 294 Hz)= 882 Hz
f4= 4f1=(3)( 294 Hz)= 1176 Hz

The 294 Hz would be the fundamental frequency and 1/3 the way down would be 1176. Would this be the correct way to solve?