Answer :

The fundamental frequency of the violin string is approximately 33.6 Hz.

To find the fundamental frequency of a violin string, we use the formula:

f = (1 / (2L)) * sqrt(T / μ)

First, calculate the linear mass density μ:

μ = m / L

Given:

Tension T = 500 N

Length L = 0.48 m

m = μ * L

f = (1 / (2 * 0.48)) * sqrt(500 / (1 * 0.48))

Finally, solve for f:

f = (1 / 0.96) * sqrt(1041.67)

f ≈ (1 / 0.96) * 32.28

f ≈ 33.6 Hz

Therefore, the fundamental frequency of the violin string is approximately 33.6 Hz.

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Rewritten by : Barada