Determine the mass per unit length of the string.

[chess10771]

Homework Statement

A guitar's E-string has length 65 cm and is stretched to a tension of 85 N. It vibrates at a fundamental frequency of 329.79 Hz. Determine the mass per unit length of the string.
1Your answer is in kg/m

Homework Equations

(mass per unit length) = (tension) / ((frequency)x(wave length))^2

The Attempt at a Solution

The tension is 85 N, and the freq is 329.79 Hz, and how do i figure out the wave length, it thought the wavelength was twice the e string length in cm.

 

[ideasrule]

Yes, wavelength is twice the string length because the string is vibrating at its fundamental frequency.

 

[chess10771]

ok, i get an answe 1.5e-5 but its not correct am i doing something wrong

 

[rickz02]

I think you forgot to convert cm to m, and you didn't square the value for frequency. Using that formula you are supposed to get a value of 4.6e-4 kg/m, correct me if I'm wrong.