Why is it that when water is in a bucket and spinning around in a circular motion and then upside down the water in the bucket does not move or spill? Am not sure on what terms to use to explain why this happens

I assume that you mean the bucket is tied to a rope and the rope is swung in a circular arc, up and down like a ferris wheel.

The bucket and the water are force to undergo centripetal acceleration. If the motion is fast enough, the centripetal acceleration of the water at the top of the arc exceeds gravitational acceleration, and is in the same direction. The walls of the bucket must apply the additional force downwards to enable the circular motion. You can think of it as an additional centrifugal force applied to the water, towards the center of rotation, to keep it in the bucket at all times.

The phenomenon you are referring to is called the centrifugal force. When an object, like a bucket of water, is spun in a circular motion at a constant speed, the water inside the bucket experiences an outward force - the centrifugal force - pushing it away from the center of rotation.

To explain why the water stays inside the bucket even when it is upside down, we need to consider two opposing forces: the centrifugal force and gravity.

Gravity is pulling the water downward, trying to make it fall out of the bucket. However, when the bucket is spinning, the centrifugal force pushes the water towards the outer edges of the circular path.

To better understand why the water doesn't spill, we can break it down into steps:

1. When the bucket is spinning horizontally, the centrifugal force pushes the water against the bottom of the bucket, keeping it in place.
2. As the bucket starts to move upside down, the centrifugal force acts in the same direction as gravity. The combined force of gravity pulling the water downward and the centrifugal force pushing it towards the bottom of the bucket causes the water to stay inside.
3. The air pressure inside the bucket also plays a role. As the bucket is spun, the air pressure inside gets lower, creating a partial vacuum that helps keep the water in place.

So, the combination of the centrifugal force, gravity, and air pressure working together is why the water does not spill out when the bucket is spinning around in a circular motion and then turned upside down.