Angular Velocity and Orbit

[aeraqua]

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TBR states that angular velocity is constant for a perfectly circular orbit. Could someone explain how, when angular velocity = v/r. I would expect v (as a vector) to change because the direction of the orbiting object is constantly changing.

 

[DrknoSDN]

The units of angular velocity are radians / second instead of meters/s

Angular velocity is basically rotations per second and independent of radius of orbit. It's not a real velocity vector. Wiki calls it a pseudovector.
http://en.wikipedia.org/wiki/Angular_velocity

 

[Chrisz]

angular velocity is constant if angular acceleration is zero. It is regarding how fast something is changing its angle. w=dTheta/dt the linear velocity is equals wr, how fast it is moving in linear motion, which is actually tangent to circle at radius r