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The A string of a violin is a little too tightly stretched. Beats at 4.00 per second are heard when the string is sounded together with a tuning fork that is oscillating accurately at a concert A (400Hz). What is the period of the violin string oscillations

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okpalawalter8

Answer:

[tex]T=2.5*10^{-3}s[/tex]

Explanation:

From the question we are told that:

Beat frequency [tex]F_b=4[/tex]

Frequency [tex]F=400Hz[/tex]

Generally the equation for Frequency of the violin is mathematically given by

 [tex]f_v=F_b+F[/tex]

 [tex]f_v=4+400Hz[/tex]

 [tex]f_v=404Hz[/tex]

Therefore the period of the violin string oscillations is

 [tex]T=\frac{1}{f_v}[/tex]

 [tex]T=\frac{1}{404}[/tex]

 [tex]T=2.5*10^{-3}s[/tex]

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