tharkun said:
Consider the equation for orbital 'velocity': 2πr/t. What are the units of that equation? m/s right? Anyone want to explain how a velocity in m/s creates the curved path of an orbit?

You're confusing velocities with vectors. If you just want to know the tangential velocity, that's distance divided by time. If the "context" is an orbit, the distance might be expressed as a function of the radius. But that doesn't turn the tangential velocity into a vector, much less the equilibrium between centripetal and centrifugal forces.