Centripetal Acceleration increases with greater radius?

[eurekameh]

Does centripetal acceleration increase with a greater radius?
According to a = v^2/R, it does not.
According to a = (omega)^2R, it does.
So which is it?
I think that as you go further out to a greater radius, speed also increases, and so a = v^2/R would also make sense in terms of a greater centripetal acceleration with a greater radius.

 

[m.e.t.a.]

Careful—you forgot that v=r \omega. Your two expressions are equivalent.