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## Main Question or Discussion Point

Are ω and [itex]\dot{θ}[/itex] the same in a polar kinematics?

I know ω is angular speed (rad/s) and it seems to me that [itex]\dot{θ}[/itex] would be the same, but in the context of rotation in polar coordinates where

If they are not the same, what is the physical meaning of [itex]\dot{θ}[/itex]?

I know ω is angular speed (rad/s) and it seems to me that [itex]\dot{θ}[/itex] would be the same, but in the context of rotation in polar coordinates where

**v**= [itex]\dot{r}[/itex][itex]\widehat{r}[/itex]+ r[itex]\dot{θ}[/itex][itex]\widehat{θ}[/itex], v = rω, and v_{θ}= r[itex]\dot{θ}[/itex], that doesn't seem to be true.If they are not the same, what is the physical meaning of [itex]\dot{θ}[/itex]?