Tuesday, March 01, 2011

[gdhtaeip] 1g centrifugal force radius

Suppose one wanted to build a stasis chamber by having a passenger travel around and around in a circle encountering relativistic time dilation.

For a given speed (or time dilation factor), what is the radius of the circle which provides a comfortable 1 g fictitious force to the passenger in the vehicle?

4 comments :

ferwick said...

you weren't watching 2001: A Space Odyssey today, were you? ...because that's how I came to ask myself this exact same question. And I'm too lazy to remember physics right now.

also, separate programs generating the exact same stream of random integers...isn't that some sort of oxymoron? not a programmer so am I missing something?

ferwick said...

of course it's on wikipedia, artificial gravity (I came here first cause this blog was first in the search results):

"To reduce Coriolis forces to livable levels, a rate of spin of 2 rpm or less would be needed. To produce 1g, the radius of rotation would have to be 224 m (735 ft) or greater"

R= 9.81g / (((pi x rpm) / 30)^2)
r=radius (m)
g=fraction of earth gravity (approximately 1 in this case)

Ken said...

I am interested in the relativistic calculation of centrifugal force, not the Newtonian one.

ferwick said...

Well then you'd simply have to build it large enough for the passenger to travel near light speed while maintaining 2rpm or less. At the smallest r would be nearly 1.5 trillion meters