How Is the Length of a String Determined from Wave Properties?

AI Thread Summary
The discussion revolves around determining the length of a string based on its wave properties, given its mass, tension, frequency, and wavelength. The participant calculated the wave velocity using the formula velocity = frequency * wavelength, resulting in 156 m/s. They then attempted to use this velocity in the equation velocity = sqrt(F/(m/L)) to solve for the string length L, but expressed confusion about their approach. The response suggests focusing on correctly solving for L while ensuring the velocity is treated accurately. The conversation emphasizes the importance of correctly applying the equations to find the desired length of the string.
sheri1987
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Homework Statement



The mass of a string is 9.00 10-3 kg, and it is stretched so the tension in it is 120 N. A transverse wave traveling on this string has a frequency of 260 Hz and a wavelength of 0.60 m. What is the length of the string?

Homework Equations


1)velocity = frequency*wavelength
2)velocity = sqroot(F/(m/L))

The Attempt at a Solution



I thought i needed to calculate the velocity first, so I used the frequency of 260 * wavelength of .6 and got 156 m/s...then I plugged that in for v into the second equation and also 9.00E-3 as the mass and F is equal to the 120 ...what am I doing wrong, I tried solving for L?
 
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Looks like you are correct so far... why do think you are wrong?
Just solve for L, being careful to treat the velocity correctly...
 

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