The linear density of a vibrating string is $10^{-4} ext{ kg m}^{-1}$. A transverse wave is propagating on the string, which is described by the equation $y = 0.02 \sin (x + 30t)$, where $x$ and $y$ are in metre and the time $t$ is in second. The tension in the string is

Question

The linear density of a vibrating string is $10^{-4}	ext{ kg m}^{-1}$. A transverse wave is propagating on the string, which is described by the equation $y = 0.02 \sin (x + 30t)$, where $x$ and $y$ are in metre and the time $t$ is in second. The tension in the string is

Aicharya · Accepted Answer

$v = \frac{\omega}{k} = \sqrt{\frac{T}{\mu}}$ $	herefore T = \mu \left(\frac{\omega}{k}ight)^2 = 10^{-4}\left(\frac{30}{1}ight)^2 = 0.09	ext{ N}$

The linear density of a vibrating string is $10^{-4}\text{ kg m}^{-1}$. A transverse wave is propagating on…

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