Physics - Wave on String Question with Solution | TestHub

The standard equation of a travelling wave is $Y=A\sin (\omega t-kx+\varphi )$.

Comparing the given equation $Y=6\sin \left(12\pi t-0.02\pi x+\frac{\pi }{3}\right)$ with the standard equation, we get:

$\omega =12\pi$ rad/s

$k=0.02\pi$ rad/m

The velocity of the wave is given by $v=\frac{\omega }{k}$.

Substituting the values:

$v=\frac{12\pi }{0.02\pi }=\frac{12}{0.02}=600$ m/s.

Answer: $600$ m/s