Circulations on radar
The radar depicts velocities on a radar screen with negative numbers (green) implying flow toward the radar and positive numbers (red) indicating flow away from the radar.  For each of the figures below assume the radar is at the bottom of the box.  Assume north is up.
A) To the right is an example of  how an east wind would look on the radar.  Even though there are inbound and outbound velocities shown this is not a circulation.  Instead, the radar is observing an east wind.  Due north of  the radar, an east wind would have zero radial velocity because the wind is perpendicular  to the beam which is moving from south to north.  Northeast of the radar, a component of the wind is moving toward the radar so the radar shows a negative radial velocity.  Northwest of the radar, a component of the wind is moving away from the radar so the radar shows a positive radial velocity.   B) To the left is an example of a weak circulation.  Many thunderstorms will have a weak circulation at some point in their life cycle.  This is because the thunderstorm will prevent air from flowing through it.  Instead, like a rock in the middle of a stream, air has to flow around the thunderstorm.  With air moving faster around the thunderstorm than through the thunderstorm, it can appear as weak circulation when viewed on radar.

Depicition of different circulations on radar.

C) To the right is an example of a strong mesocyclone.   Meteorologists rate mesocyclones by adding the maximum  inbound velocity to the absolute outbound velocity and dividing by two.  The result is the rotational velocity (or how fast the thunderstorm is rotating).  Generally, the distance between the maximum inbound and maximum outbound should be less than 5 miles.  In this case, the mesocyclone has a rotational velocity of at least 35 kts which would be moderate to strong.  A persistent mesocyclone is indicative of a storm which can product large hail, damaging winds, and even tornadoes. D) While the radar cannot detect an individual tornado, it can detect the parent circulation in the thunderstorm which produces the tornado.  This is called a tornado vortex signature (TVS).   A TVS is calculated by adding up the maximum inbound and outbound velocities which are adjacent to each.  If the sum is at least 70 kts, it is considered a TVS.  To the left is an example of how a TVS will look on radar. 

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