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## Homework Statement

You have a ukulele and you change the strings tension so that it becomes tighter. First the frequency was 431 Hz and after we tightened the string the frequency. how much bigger does the force have t be to get that frequency?

## Homework Equations

PA*V^2 = F (P = density, A = area)

V=f*lambda

## The Attempt at a Solution

F

_{2}= PA V

^{2}=PAf

_{2}

^{2}* lambda

^{2}

F

_{1}= PA V

^{2}=PAf

_{1}

^{2}* lambda

^{2}

Then i divided F

_{2}by F

_{1}and I got:

f

_{2}

^{2}/f

_{1}

^{2}

which equals to 1,06. My answer is 6 precent bigger.

So my questions are: can I assume that lambda is going to remain the same? Is my solution correct?