A string has its 4th harmonicat 31.5 Hz. What is thefrequency of its 3rd harmonic?(Unit = Hz)

RiskTech asked Sep 9, 2023

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RiskTech asked Sep 9, 2023

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14 votes

Given

4th armonic 31.5Hz

Procedure

4f = 31.5

$\begin{gathered} 4f=31.5 \\ f=(31.5)/(4) \\ f=7.875\text{ Hz} \end{gathered}$

Thrid armonic

$\begin{gathered} 3f=3\cdot7.875 \\ 3f=23.625\text{ Hz} \end{gathered}$

Hence the third frequency is 23.625 Hz

Peter Bartels answered Sep 14, 2023

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