Rotating a wireless power mechanism
Should still work with rotation.

Efficiency would depend on where the axis of rotation is relative to the coils.  Best efficiency if the coils and rotation axis are coaxial.

Beware that you will loose efficiency if you have conductive material near the coils.  The transmitting coil can induce eddy current in any metal parts, which will become a loss due to the parts' internal resistance.  (This is also called "shorted turn effect".  Induction cookers exploit it, by the way.)