# Fundamental Physics/Motion/Wave/Sinusoidal wave

## Sinusoidal wave

It can be shoen that all sinusoidal wave has a mathematical Wave function which is a root of a Wave equation as shown below

Wave function

${\displaystyle f(t)=A\sin \omega t}$

Wave equation

${\displaystyle f^{''}(t)=-\omega f(t)}$

## Sinusoidal wave motion

${\displaystyle a=f^{''}(t)=-\omega f(t)}$
${\displaystyle s=f(t)=A\sin \omega t=\lambda }$
${\displaystyle v={\frac {\lambda }{t}}=\lambda f=\omega }$