A wave is represented by the equation $y=0.5\sin (10t-2x)$. What is the angular frequency of the wave?

Solution

1. The standard equation for a traveling wave is given by $y=A\sin (\omega t-kx)$, where $\omega$ represents the angular frequency.
2. The given wave equation is $y=0.5\sin (10t-2x)$.
3. By comparing the two equations, we identify the coefficient of $t$ as $\omega =10\text{ rad/s}$.
4. Hence the answer is (C).