Imagine a rough turn table with a wooden block (let it have negligible dimensions for the sake of simplicity) on it. The turn table is perfectly horizontal and is rotating with a constant angular speed in such a way that the block doesn’t slip on it.
It is a well established fact that in the case of kinetic friction, friction opposes relative motion and for static friction, it will oppose the “tendency” of a body to move. By “tendency”, I’m talking about the direction of relative velocity that the body would have if the friction were to be absent.
Now, in this scenario, friction will be the only force that will provide centripetal force. But as per the above point discussed, there has to be a tendency for the block to move radially outwards for the friction to act inwards. Where is the tendency?