Eric shah said G.

asked • 08/02/17

a string has a mass of 3g and length of 60cm what must be the tension so that the vibration transversly overtone a (f) of 200hz

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Arturo O.

Eric,
 
Which harmonic does the 200 Hz correspond to?  We need that in order to find the wavelength, so we can get the speed of the wave from wavelength and frequency, and then get the tension knowing the speed of the wave.
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08/02/17

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John B. answered • 08/02/20

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The velocity of a wave is given by v=sqrt(T/μ)

μ= 0.003/.6) = 0.005


If we want the first overtone to be 200 Hz then we know the wavelength = 0.6 m the length of the string


using v=fλ we get v = (200)(.6) = 120 m/s


plugging back into the first equation 120=sqrt(T/0.005)


Tension = 0.36 N


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Priya K.

shouldn't it be 72 N because 120^2=sqrt((T/.005))^2 ---> 14,400=T/.005 ---> T=(14,400)(.005) ---> T=72
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04/17/21

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