Wave problem, sound from a string

[Matt1234]

Hello all, can someone please help with the following:

Homework Statement

A violin string has a length of 0.330 m and is tuned to concert G, with fG = 392 Hz.
If this position is to remain correct to one-half the width of a finger (that is, to within 0.680 cm), what is the maximum allowable percentage change in the string tension?

Homework Equations

v = lambda * frequency
v= sqrt(tension / linear density)

Im not sure how to go about solving this problem so i don't have any attempts to show for it. Can someone please direct me.

Thanks.

 

[jbsteele]

The equation you need to use to solve this problem is the equation that relates the tension of a string to its frequency: f = sqrt(T/μ), where T is the tension of the string and μ is the linear density of the string. To solve this problem, you will need to find the maximum allowable percentage change in the tension of the string. To do this, you first need to calculate the tension of the string when it is tuned to concert G (392 Hz). Use the equation f = sqrt(T/μ) to calculate the tension (T). Then, calculate the maximum allowable tension of the string. This can be done by taking the initial tension of the string and adding 0.680 cm (the half finger width) to it. Finally, calculate the maximum allowable percentage change in tension by taking the difference between the initial and maximum allowable tensions and dividing it by the initial tension, and then multiplying by 100.