LBRRIT2390
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Homework Statement
A 120 cm-long steel string with a linear density of 1.2 g/m is under 100 N tension. It is plucked and vibrates at its fundamental frequency.
What is the wavelength of the sound wave that reaches your ear in a 20 \circC room?
Homework Equations
Fundamental Frequency
f1 = \frac{v}{2L}
Fundamental Frequency of a stretched string
f1 = \frac{1}{2L}\sqrt{\frac{T_s}{\mu}}
Wavelengths of standing wave modes
\lambdam = \frac{2L}{m}
\lambdam = \frac{v}{f_m}
The Attempt at a Solution
I solved fundamental frequency as 143.3 then used
\lambdam = \frac{v}{f_m} to find the wavelength.
I also tried solving for fundamental frequency using
f1 = \frac{1}{2L}\sqrt{\frac{T_s}{\mu}}
All of my answers have been incorrect. Please help!