Consider the velocity field

$u=-\frac{}{2r}sin$

$v=\frac{}{2r}cos$

where $$ is a positive constant with dimensions $[\frac{m^2}{s}]$;$(r,)$ are cylindrical coordinates,

and $(u,v)$ are cartesian velocity components.

$($a$)$ Calculate the general equation for the streamlines of this flow.

$($b$)$ Sketch a few streamlines by hand $($min$.3)$

$($c$)$ Evaluate the velocity at some point in the flow and indicate the flow direction in

your sketch.