# Fundamental Physics/Motion/Wave motion

## Definition

Wave represents a periodic motion that carries energy travels in space . Example, Light wave, Sound wave , Radiation wave , Electric wave , Electromagnetic wave ...

## Fundamental waves

### Transverse wave

Transverse wave represents a wave that travels horizontally . For example Electric oscillation wave , Spring oscillation wave . Transverse wave has the following characteristics

• Wave function
${\displaystyle x(t)=A\sin \omega t}$
• Wave equation
${\displaystyle x^{''}(t)=-\omega x(t)}$
• Angular frequency
${\displaystyle \omega =\lambda f}$

### Logitudinal wave

Longitudinal wave represents a wave that travels vertically . For example Light oscillation wave , Sound oscillation wave . Transverse wave has the following characteristics

• Wave function
${\displaystyle y(t)=A\sin \omega t}$
• Wave equation
${\displaystyle y^{''}(t)=-\omega y(t)}$
• Angular frequency
${\displaystyle \omega =\lambda f}$

### Tranlate wave

Transverse wave represents a wave that travels at an inclined angle . For example Electromagnetic oscillation wave . Transverse wave has the following characteristics

• Wave function
${\displaystyle x(t)=A\sin \omega t}$
${\displaystyle y(t)=A\sin \omega t}$
• Wave equation
${\displaystyle x^{''}(t)=-\omega x(t)}$
${\displaystyle y^{''}(t)=-\omega y(t)}$
• Angular frequency
${\displaystyle \omega =\lambda f}$