High School

A violin string that is 50 cm long has a fundamental frequency of 440 Hz. What is the speed of the waves on this string?

Answer :

To determine the speed of the waves on the violin string, we can use the formula: v = f * λ.

\In this case, the fundamental frequency (f) is given as 440 Hz. To find the wavelength (λ), we need to know the length of the string (L). Given that the length of the violin string (L) is 50 cm, we can use the relationship between the wavelength and the length of the string for the fundamental frequency: λ = 2L

Substituting this into the wave speed formula:

v = f * λ

v = f * 2L

v = 440 Hz * 2 * 50 cm

To ensure consistent units, we should convert the length from centimeters (cm) to meters (m):

v = 440 Hz * 2 * 0.5 m

v = 440 Hz * 1 m

v = 440 m/s

Therefore, the speed of the waves on the 50 cm long violin string is 440 meters per second.

To learn more about fundamental frequency click here; brainly.com/question/31314205

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