If y = 0.02 sin (30x − 400t) (SI units), the velocity of the wave is
A) 3/40 m/s
B) 40/3 m/s
C) 60π/400 m/s
D) 400/60π m/s
E) 400 m/s

Question

Quizplus · Accepted Answer

The velocity of a wave, given by a function of the form $y = A \sin(kx - \omega t)$, can be found using the formula $v = \frac{\omega}{k}$, where $\omega$ is the angular frequency and $k$ is the wave number. In the given equation, $y = 0.02 \sin(30x - 400t)$, $\omega = 400$ and $k = 30$. Therefore, the velocity $v = \frac{400}{30} = \frac{40}{3}$ m/s.

If Y = 002 Sin (30x − 400t) (SI Units), the Velocity of the Velocity