A steel wire has a length of $12$ $m$ and a mass of $2.10$ $kg$. What will be the speed of a transverse wave on this wire when a tension of $2.06{\rm{ }} \times {10^4}$ $\mathrm{N}$ is applied ?
A steel wire has a length of $12$ $m$ and a mass of $2.10$ $kg$. What will be the speed of a transverse wave on this wire when a tension of $2.06{\rm{ }} \times {10^4}$ $\mathrm{N}$ is applied ?
Speed of transverse wave in a tense wire is,
$v=\sqrt{\frac{\mathrm{T}}{\mu}}=\sqrt{\frac{\mathrm{T}}{\mathrm{M} / \mathrm{L}}}=\sqrt{\frac{\mathrm{TL}}{\mathrm{M}}}$
$\therefore v =\sqrt{\frac{2.06 \times 10^{4} \times 12}{2.1}}=343 \frac{\mathrm{m}}{\mathrm{s}}$
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