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Comment:

1220

Deletions are marked like this.  Additions are marked like this. 
Line 7:  Line 7: 
$~ R = a (gees) / omega^2 = 9.8 / ( \pi RPM / 60 )^2 = 3575 / RPM^2 $ meters for one gee  $~ R = a (gees) / \omega^2 = 9.8 / ( \pi RPM / 60 )^2 = 3575 / RPM^2 $ meters for one gee 
Centrifuge RPM
Centrifugal acceleration and RPM versus radius. Radius is to body midline for similar headtofoot hydrostatic pressure compared to 9.8 m/s² gravity). This neglects subtle longterm Coriolis effects, besides the obvious and wellknown vestibular effects of motion in a rotating acceleration field.
a = \omega^2 R ~ so ~ R = a (gees) / \omega^2 = 9.8 / ( \pi RPM / 60 )^2 = 3575 / RPM^2 meters for one gee
RPM 
radius (meters) 
1 
3575 
2 
894 
3 
397 
5 
143 
8 
56 
10 
36 
15 
16 
20 
9 
30 
4 
One paper claims vestibular adaptation to 30 RPM(!) within a week, for a limited range of motion. A conservative guess is that 15 RPM will suffice for most practical needs.
A cylinder 16 meters radius and 10 meters wide provides 1000 square meters of floor space. Three meters of polethylene shielding around that is a polyethylene volume of π (16*38²  10*32²) m³ ≈ 10,000 m³ ≈ 9,000 tonnes of PE.