Context
I'm working on an interstellar Ark made of a few (probably 3 to be more specific) layers of cylinders (modified O'Neil's concept), while trying to get the station to be as compact as possible. I want at least one layer to experience 1 g of centrifugal force and one, outer layer to experience force of 1,25 g. Both cylinders are actually one rigid object that just got divided into two, as I don't see the need to separate them, if having them welded means saving resources and costs.
Question
Accounting for those factors, and for the fact of me trying to make the ship as thin as possible, how quickly could the cylinders rotate until humans would be unable to do any sort of a work due to chronic motion sickness?
Sidenote: if the diameter of the cylinders matter, and you need any sort of a reference, let's assume for the 1 g cylinder, the minimal radius of 250 metres and the maximal of 4 kilometres