physics question

tommyboy26

im doing experimental physics in college and i was giving a question and after 2 days of searching im sad to say i still have no better idea of how to solve it. i will post the question below but first i really want to stress i do not want the answer just a point down the right road as i want to learn how to do it but just need a little nudge in the right direction. so here is the question:

A string on a guitar gives out a note of a certain frequency. By how much must the tension in the string be increased if it is to give a note of six times the frequency, its length remaining the same?

i have a feeling it has something to do with overtones but honestly im completely lost.

any help would be greatly appreciated.

please dont give the answer.

thanks!

CIARAN_BOYLE

No physics education beyond leaving cert.

Two minutes googling however points me here

http://hyperphysics.phy-astr.gsu.edu/hbase/Waves/string.html

There is a formula for wave frequency where string tension is a variable.

Plug in the variables and get your answer. Or if you wish manipulate the formula to give you an expression in the form 6t= whatever.

tommyboy26

CIARAN_BOYLE wrote: »

No physics education beyond leaving cert.

Two minutes googling however points me here

http://hyperphysics.phy-astr.gsu.edu/hbase/Waves/string.html

There is a formula for wave frequency where string tension is a variable.

Plug in the variables and get your answer. Or if you wish manipulate the formula to give you an expression in the form 6t= whatever.

i was on that website but i dont have any variables what i posted was all the information i was given.

so i cant rearrange the formula to what i want?

or am i missing something really simple?

CIARAN_BOYLE

tommyboy26 wrote: »

i was on that website but i dont have any variables what i posted was all the information i was given.

so i cant rearrange the formula to what i want?

or am i missing something really simple?

Well rearrange the formula. L and M are constants so they don't really matter, why not start by multiplying both sides by 6 then start manipulating the formula to get T on its own to give yourself an expression governing how much you need to increase T by in terms of M and L.

As I said no physics education but I'm looking at it as a simple maths exercise to mess with a formula.

tommyboy26

CIARAN_BOYLE wrote: »

Well rearrange the formula. L and M are constants so they don't really matter, why not start by multiplying both sides by 6 then start manipulating the formula to get T on its own to give yourself an expression governing how much you need to increase T by in terms of M and L.

As I said no physics education but I'm looking at it as a simple maths exercise to mess with a formula.

ok i think i have it. the formula would be f= the square root of the tenison

so if the frequency was 6 then i would need to square this as it is the opposite to the square root so my answer would be 36?

CIARAN_BOYLE

tommyboy26 wrote: »

ok i think i have it. the formula would be f= the square root of the tenison

so if the frequency was 6 then i would need to square this as it is the opposite to the square root so my answer would be 36?

I think so yeah. Sorry no physics education and it's been years since I've done maths that require playing with formulas but that looks right.