# Centrifuge speed of an object higher than a stationary orbit

In the question At what altitude above equator do gravitational and centrifugal forces cancel each other?, I asked how high a tower on the equator has to be such that at its top, gravitational and centrifugal forces are the same magnitude (and opposite sign).

Now imagine that the tower is a little bit higher, and an object is released from the top of the tower. The object will float away and "climb" higher. Does the object move slower or faster around the world than the tower?

It would be nice if the answer was explained in terms of the conservation of energy.

An other way of seeing this is to imagine that since the object is "climbing up", a part of the cinetic energy is along the $r$ axis, and the rest is in angular speed. The angular speed is thus necessarely inferior than the tower.