High School

If a violin string vibrates at 1720 Hz, what is the wavelength of the sound produced in the surrounding air?

Answer :

Final answer:

The wavelength of a sound produced by a violin string vibrating at 1720 Hz, with a speed of sound in air of 155.54 m/s, is approximately 0.09 meters (or 9 cm). This calculation relates the speed of sound, frequency, and wavelength using the formula v = f * λ.

Explanation:

The subject of your question is related to the physics of sound. In order to determine the wavelength of the sound produced by a violin string vibrating at a given frequency, we can use the formula to relate the speed of sound (v), frequency (f), and wavelength (λ), given by: v = f * λ. In this scenario, the speed of sound in air is given as 155.54 m/s, and the frequency of the vibrating violin string is 1720 Hz

To find the wavelength, we rearrange the formula for λ: λ = v / f. Substituting the known values, we find the wavelength of the produced sound to be approximately 0.09 meters (or 9 cm). It's important to note that this answer assumes standard atmospheric conditions as the speed of sound can vary with temperature and humidity.

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