## Related questions with answers

Question

A $12.5 \mathrm{~g}$ clothesline is stretched with a tension of $22.1 \mathrm{~N}$ between two poles $7.66 \mathrm{~m}$ apart. What is the frequency of the fundamental harmonic?

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 3$\text{\textcolor{#c34632}{(a.)}}$ Calculate the frequency of the fundamental on the clothesline.

The frequency of the fundamental is given by

$\begin{align} f_1 = \dfrac{v}{2L} \end{align}$

And the speed of a wave on a String, $v$ is given by

$\begin{align} v &= \sqrt{\dfrac{F}{\mu}} \hspace{5mm} \left(\text{ where: } \mu = \dfrac{m}{L} \right)\\ & = \sqrt{\dfrac{FL}{m}} \end{align}$

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