Processing Math: Done
To print higher-resolution math symbols, click the
Hi-Res Fonts for Printing button on the jsMath control panel.

No jsMath TeX fonts found -- using image fonts instead.
These may be slow and might not print well.
Use the jsMath control panel to get additional information.
jsMath Control PanelHide this Message


jsMath
Differences between revisions 2 and 4 (spanning 2 versions)
Revision 2 as of 2018-10-09 00:13:47
Size: 1219
Comment:
Revision 4 as of 2018-10-09 03:10:58
Size: 1056
Comment:
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
Line 9: Line 9:
|| RPM || radius (meters) ||
|| 1 || 3575 ||
|| 2 || 894 ||
|| 3 || 397 ||
|| 5 || 143 ||
|| 8 || 56 ||
|| 10 || 36 ||
|| 15 || 16 ||
|| 20 || 9 ||
|| 30 || 4 ||
|| RPM || 1 || 2 || 3 || 5 || 8 || 10 || 15 || 20 || 30 ||
|| radius (meters) || 3575 || 894 || 397 || 143 || 56 || 36 || 16 || 9 || 4 ||

Centrifuge RPM

Centrifugal acceleration and RPM versus radius. Radius is to body midline for similar head-to-foot hydrostatic pressure compared to 9.8 m/s² gravity). This neglects subtle long-term Coriolis effects, besides the obvious and well-known vestibular effects of motion in a rotating acceleration field.

a=2R  so  R=a(gees)2=98(RPM60)2=3575RPM2  meters for one gee

RPM

1

2

3

5

8

10

15

20

30

radius (meters)

3575

894

397

143

56

36

16

9

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.

Centrifuge (last edited 2018-10-09 03:12:43 by KeithLofstrom)