Speed of transverse string waves

AI Thread Summary
The discussion revolves around calculating the speed of transverse string waves on a piano string with a length of 1.5 m and a mass density of 25 mg/m, vibrating at a fundamental frequency of 460 Hz. The initial approach uses the formula v=sqrt(FL/m) to determine the wave speed. Another participant suggests using the equation v=λf, emphasizing the need for the wavelength λ, which can be derived from the fundamental frequency. The fundamental frequency indicates that the wavelength is twice the length of the string, providing a clear path to calculate the wave speed accurately. Understanding these relationships is crucial for determining the speed of the transverse waves on the string.
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A piano string of length 1.5 m and mass density 25mg/m vibrates at a (fundamental) frequency of 460 Hz.
What is the speed of the transverse string waves?


v=sqrt (FL/m)

v= sqrt (37.5*1.5/25)

is this the right track?
 
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I would try using the equation:

v=\lambda f

You know f already. All you need then, is the wavelength,<br /> \lambda. You know the wave is vibrating at a fundamental frequency. Does this tell you anything about the wavelength of that wave?
 

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