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There's a lot of good stuff here already, so I'm not sure exactly what to add. As people have already said, if you're not already rotating with the station, you won't feel any "gravity." Also, the Coriolis effect will be a lot more pronounced. So, if you throw a ball "straight up," it will come back down but will not come back to you. From your perspective (standing at one spot on the inner surface of the station), the ball will curve off as it flies up and down.
I found one Coriolis effect calculator online, but it was asking for Latitude and wind speed and didn't make sense.
I also found something interesting written by Larry Bogan about the seeming increase/decrease in astronaut weight (and therefor their speed) depending on whether running in the direction or rotation or against it. Just like a people mover at the airport.
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