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July 31, 2014

July 31, 2014

Posted by **James** on Thursday, July 12, 2012 at 12:58am.

The answer is supposed to be 125 N, but I'm not sure how to get this answer. So far, I have found the mass of the string to be 2.0235 x 10e-04 kg. I'm not sure if this is useful or not, though. Any guidance is greatly appreciated.

- Physics -
**drwls**, Thursday, July 12, 2012 at 1:57amYou need to know that the formula for the speed of travelling waves on a taut string is

V = sqrt(T/d).

where d is the lineal density per unit length, and T is the tension.

The fundamental frequency has a wavelength of twice the length, or 0.75 m. A standing wave at the fundamental frequency is two traveling waves going in opposite drections with wavelength 0.75 m and wave speed

V = (wavelength)*(frequency)

= (0.75 m)*612 Hz

= 459 m/s

Now you can use the wave speed equation to solve for the string tension, T

T = d*V^2 = 5.95*10^-4 * 459^2 = 125 N

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