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.
