Why does a wheel spinning on a space ship cause the ship to rotate in the opposite direction around the ship’s center, regardless of the location of the wheel?

Question

Intuitively it makes sense when the wheel is located at the center of mass on the ship/axis of rotation, but I can’t wrap my head around how it makes sense when the wheel is located somewhere else

In: Physics

Answer 1

The opposite reaction of a rotating force is another rotating force, as opposed to a straight one.

No matter where the rotating force is acting on and its relation to the center of mass of the ship, the rotating force does not create any levering action to push the ship, so it doesn’t behave like a straight force that the reaction may produce different angular moments depend on where the force is acting on.

Instead it only produce an angular opposite moment, twisting the ship the other way. Twisting at any point is all twisting, all the same.