Physics - Wave on String Question with Solution | TestHub

The standard equation of a wave traveling in the positive x-direction is $y=A\sin (\omega t-kx)$.

The given equation is $y=0.004\sin (200t-2x)$.

Comparing the given equation with the standard equation, we get:
$\omega =200$ rad/s
$k=2$ rad/m

The negative sign between the $t$ and $x$ terms indicates that the wave is traveling in the positive x-direction.

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

$v=\frac{200}{2}=100$ m/s.

Therefore, the wave is traveling with a velocity of $100$ m/s in the positive x-direction.