Answer :
Final answer:
The speed of the wave on the string is 92.7 m/s.
Explanation:
To find the speed of the wave on the string, we need to know the frequency of the note and the length of the string. In this case, the frequency is given as 284 Hz. Using the formula v = fλ, where v is the wave speed, f is the frequency, and λ is the wavelength, we can solve for the speed. Since the string is tuned to play the 1st order harmonic, the wavelength can be determined by dividing the length of the string by the harmonic number, which is 1. Plugging in the values, we have v = 284 Hz * (0.327 m / 1).
Simplifying the equation, we get v = 92.68 m/s. Rounding to three significant figures, the speed of the wave on the string is 92.7 m/s.
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