It is possible that it would end up behaving in a similar way to Earth once again and I suspect this was ACC's thinking. In Rama the distance from the inner surface to the axis is about 4000m and that would be breathable though not without difficulty if you are not acclimatised. Which would fit with the extract I quoted above. I'm just wondering whether his figuring was really correct in this case.
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ACC tends to get his science spot on, so I'd accept that. Should be noted that the original proposal for such a spacecraft had a partial pressure atmosphere (oxygen levels same as what we're used to but much less nitrogen)
oh and centrifugal and centripital I get mixed up all the time, I could be wrong!
As for the High/Low pressure, yes I got it wrong way round 'cause I took the god eye view of the problem (me and my big head!) For a person standing on the inner surface of a rotating cylinder, the air (by friction) is moving along with you i.e. is essentially stationary relative to you - thus high pressure. The air in the centre of the cylinder is now rotating relative to you and thus generating low pressure in the centre.
But I don't think the pressure difference from rim to axis can be compared to pressure difference in the Earth's altitude, so be careful.
The reason is that in Earth's case the whole atmosphere remains in a strong gravitational field and thus the density/pressure relative to height is highly dependent on this factor (gases that do not achieve escape velocity will remain with us but Hydrogen and Helium flies off into space to explain in a short sentence).
In the O'Neill cylinder there is no gravity, but here the pressure difference is caused by the spin rate, so we should be able to work it out from that. I did a rough and ready calculation - but to be frank I think it's wrong - and got that in your case the pressure difference would be ~15% lower in the middle (that's compared to 40% lower for being 4000m up a mountain)