

Like you said, objects in a circular motion want to be away from the center of a circle instead of towards it. Centrifugal force is the term to describe that specifically. It’s a “made up” force, because there is no force pushing an object away from the circle.
Q: How is there no force pushing an object away from the circle?
A: An object moving in a circular motion is at all times already trying to move away from the circle. If you take the bucket of water for example, and suddenly deleted the bucket, the water would keep flying in the straight line it was trying to go in. The direction it would fly would be sideways, perpendicular to a line drawn to the center of the circle and not outward away from the center.
Q: Is the water accelerating inward?
A: Yes! The bucket pushes the water keeping it from going in a straight line. Likewise, the string pulls the bucket which keeps the bucket from flying out. And you are spending the energy to cause the force that is being applied to the string. This is known as “centripetal force”. It’s the force that makes the circle going objects change direction.
Q: If there is force or acceleration inward, why doesn’t the water fly towards the center?
A: Acceleration is not a change in speed. It is a change in velocity, which is a combination of speed AND/OR direction. So the water doesn’t fly inward because centripetal force only causes a change in direction (the bottom of the bucket keeps the water from going straight). If someone punched the bottom of the bucket while it was swinging in a circle, then the water would fly inward out of the bucket because that would cause a change in speed toward the bucket.
Short summary: Nothing is pushing the water into the bucket, the bucket is pushing the water so it continues to accelerate in a circle. The water wants to go straight. That is inertia.



That’s fair. The reason it seems to stick to the bottom is because it is the bottom of the bucket causing the change in direction. Kinda confusing right?
There is an outward force, as the bottom of the bucket pushes the water to have it change direction, the water does push on the bucket in the opposite direction (3rd law). But, this is not a “centrifugal force” which describes a force pushing the water outward. To reword, the water is making a force against the bucket in response to the bucket’s force on the water, but that force is soley generated by and in response to that interaction. Ironically, this might be easier to visualize with a satellite in orbit and gravity. Gravity is pulling the object toward Earth, that’s easy to understand. But, the object is also moving laterally around Earth, so it sorta is kinda in a state of constantly falling (centripetal force) and missing. Same with the water, but it’s the bucket pushing and not gravity pulling.
This might raise the question: Why does the bucket need walls to keep the water in?
First, to get the bucket in motion, starting from rest, you do need to increase and maintain it’s speed, and same with the water in it, that force is a different force to the centripetal force (though in this case the same source being your arm). On the gravitron the force to speed you up is friction which exists due to the normal force caused by the centripetal force itself. And in space it’d be like booster engines or smthn idk. Second, there is air in the way on Earth.
I hope that helps.