next up previous
Next: Movimento bidimensional Up: aula1_html Previous: Coordenadas Polares

Coordenadas Polares

Note que os versores polares giram junto com o vetor posição, mas permanecem constantes ao longo do raio:

\begin{figure}\centerline{
\epsfig{file=gira_coord_cilind.eps,width=16cm,height=12cm}}\end{figure}


$\displaystyle \frac{d \, {\color{myred}\hat{r}}}{d \theta} \, = \, {\color{myred}\hat{\theta}}
\quad \quad$ $\textstyle ,$ $\displaystyle \quad \frac{d \, {\color{myred}\hat{r}}}{d r} \, = \, 0$  
$\displaystyle \frac{d \, {\color{myred}\hat{\theta}}}{d \theta} \, = \, - {\color{myred}\hat{r}}
\quad \;$ $\textstyle ,$ $\displaystyle \quad
\frac{d \, {\color{myred}\hat{\theta}}}{d r} \, = \, 0$  



Luis Raul Weber Abramo 2002-08-08