Wave Equation

Wave Equation

### Formula

$$y=A\sin(\omega t-kx+\phi)$$

### Terminologies

- y → Displacement of particle.

- A → Amplitude.

- ω → Angular frequency.

- k → Wave number.

- x → Position.

- φ → Initial phase.

### Conditions / Special Cases

- For wave travelling in positive x-direction:

$$y=A\sin(\omega t-kx)$$

- For wave travelling in negative x-direction:

$$y=A\sin(\omega t+kx)$$

### Usage

- Used to represent progressive waves.