Standing Wave Equation on String

Standing Wave Equation on String

### Formula

$$y=2A\sin kx\cos\omega t$$

### Terminologies

- y → Displacement of particle.

- A → Amplitude of individual wave.

- k → Wave number.

- ω → Angular frequency.

### Conditions / Special Cases

- Nodes:

$$\sin kx=0$$

- Antinodes:

$$\sin kx=\pm1$$

### Usage

- Used to analyze standing waves.