The equation of a transverse wave travelling along a string is $y(x,t)=4.0\sin\left[20 imes10^{-3}x+600t ight]$ mm, where $x$ is in mm and $t$ is in second. The velocity of the wave is :

Question

The equation of a transverse wave travelling along a string is $y(x,t)=4.0\sin\left[20	imes10^{-3}x+600tight]$ mm, where $x$ is in mm and $t$ is in second. The velocity of the wave is :

Dr. Abubacker · Accepted Answer

[Solution by Dr. Abubacker] $k=20	imes10^{-3}\ \mathrm{mm^{-1}}$, $\omega=600\ \mathrm{s^{-1}}$. $|v|=\frac\omega k=3	imes10^4$ mm/s $=30$ m/s. The $+$ sign between $kx$ and $\omega t$ means the wave travels in the $-x$ direction: $v=-30$ m/s. Answer (2).

Q. The equation of a transverse wave travelling along a string is $y(x,t)=4.0\sin\left[20\times10^{-3}x+600t\right]$ mm, where $x$ is in mm and $t$ is in second. The velocity of the wave is :

Explanation

Reviewed by Dr. Abubacker

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