system
Given the following post, respond as if you're commenting on Reddit:
human
What would happen if you jumped in a gravity-simulating centrifuge?

Like the ones in Interstellar or The Martian. Since there's nothing pulling you to the rim, after you've overcome your own inertia by jumping, would you just gently float above the 'ground', with it rushing beneath you? Would you slam into the nearest wall opposite the direction of turning?

If you jumped high enough, could you float to the center and just stay there?

I Imagine the moving air around you would eventually build up enough momentum that you'd contact the ground, which might be uncomfortable if it was spinning fast enough.
gpt
When standing still, your *acceleration* is inwards towards the centre of the ring, provided by the floor beneath you. Your *velocity* is *tangential* to the ring. That is, if you're standing on the inside of the rim of the ring, facing the "forwards" direction that the ring is rotating, your velocity at any moment is also "forwards". Your velocity does constantly change (this is the acceleration) so that your "forwards" velocity changes direction to match where you are at the ring.

The acceleration is provided by the floor beneath you, but you keep your velocity unless something actively changes it. If you were standing inside a rotating ring, and the ring suddenly disappeared (maybe the floor just breaks), then you would just continue to float forwards in the same direction. If you draw a circle, and at some point stop curving and just keep drawing in a straight line, that's what your path would look like.

Similarly, when you jump, you add an additional inwards component to your velocity, but your forward velocity does not disappear. Instead, you are now going *forward and inwards*. This means your path will intersect with the ring again, a little bit forwards and up from your initial position. However, as the ring is rotating at a very similar speed, when you contact the floor again will be pretty close to where you lifted off. For a very big ring, it will feel just like jumping on the spot. But for a small ring, you will notice a bit of a shift.