Physics - Wave on String Question with Solution | TestHub

The given wave equation is $y=0.002\sin (100t+x)$.

Comparing this with the standard wave equation $y=A\sin (\omega t+kx)$, we get:
Angular frequency $\omega =100$ rad/s
Wave number $k=1$ rad/m

Since the sign between $\omega t$ and $kx$ is positive, the wave is travelling in the negative x-direction.

The velocity of the wave is given by $v=\frac{\omega }{k}=\frac{100}{1}=100$ m/s.

Thus, the wave is travelling with a velocity of $100$ m/s in the negative x-direction.

Answer: travelling with a velocity of $100\mathrm{m}/\mathrm{s}$ in the negative x -direction