Consider a string with a length of (47.5 a) cm tied at both end (like on a stringed instrument). if the frequency of the first harmonic on the string is (245 b) hz, determine the speed of the wave in the string. post your answer in m/s and with 3 significant figures.

To solve this problem it is necessary to apply the concepts related to wavelength as a function of frequency and speed, as well as to determine the wavelength as a function of length.

From the harmonic vibration generated we know that the total length of the string will be equivalent to a half of the wavelength, that is

Where,

Wavelength

Therefore the wavelength for us would be,

From the relationship of speed, frequency and wavelength we know that

Therefore the speed of the wave is 232.75m/s