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Calculus?

I need help finalizing the plans for my WonderSaga. I need someone who actually understands calculus. Does such a person exist? If so, will you please help me?

Comments

kiwiria
May. 21st, 2009 02:53 pm (UTC)
I'd probably have the 'hole' diameter no bigger than 3 miles - perhaps even just 1 or 2. I think any larger than that and your torus would get too unstable and the artificial gravity not strong enough... but that's space physics and I know absolutely nothing about that ;)

I'm not sure how the soil-depth would affect the length of the tube though... I assume the 3 miles are from "bare edge to bare edge" - disregarding the soil? If so, the numbers wouldn't change. But that may be because I don't know enough about it.

Anyway, the numbers for a 1 or 2 mile hole would be:
1 ; 44 ; 5.5
2 ; 50.2 ; 6.3
ahavah
May. 21st, 2009 03:19 pm (UTC)
I really appreciate all your help!

I'm not sure about the soil depth thing, but perhaps bisecting the length through the middle would mean less length around than if following the far edge?
kiwiria
May. 21st, 2009 03:25 pm (UTC)
Ah! Yes, that it would. My numbers were based on following the far edge.

If you have a 3 mile diameter hole and an average of 1m soil depth, that'd give you 44 miles N-N.
ahavah
May. 21st, 2009 03:31 pm (UTC)
Hm, Mark says that would give 22 miles N-N. I'm so torn! You all are far ahead of me, so I'll let you guys battle it out. I have come to think that 1 mile depth may not be enough, and maybe I should go with 1.5 after all.
kiwiria
May. 21st, 2009 03:42 pm (UTC)
Mark's right. I forgot to divide by 2 since I was using diameter rather than radius. Unfortunately, that goes for all of my numbers :( Embarrassing!
ahavah
May. 24th, 2009 02:19 am (UTC)
I haven't heard back from Mark about this. Could you help? If I were to change the soil depth to 1.5 miles, would it change the overall length of the torus? (From 22 miles to something else?) Thanks!
kiwiria
May. 24th, 2009 09:19 am (UTC)
Yes, it would. If the soil depth was an average of 1.5 rather than 1 mile, and keep the 3mile diameter hole, you'd get a length of 18.8 miles N-N.
ahavah
May. 24th, 2009 09:20 am (UTC)
Woo hoo! Thank you SO much! :) *muah*

I think I'm near ready to buckle down and start writing this thing.
kiwiria
May. 24th, 2009 09:23 am (UTC)
You're welcome :) I'm one of the geeks who LOVE maths (even if this is more trig than calc ;) ), so it's been fun!

Good luck writing.
ahavah
May. 24th, 2009 09:24 am (UTC)
Ha ha! Well that's good to know, too. I never made it anywhere near a trig class.

Thanks a bunch!
kiwiria
May. 24th, 2009 09:26 am (UTC)
Don't worry, I took both advanced in uni (as well as algebra and geometry) and STILL get them mixed up enough that I even wrote the wrong thing above! It's geometry - not trig.

Well done, Maria! That's the way to show ahavah you really know what you're talking about ;)
ahavah
May. 24th, 2009 09:27 am (UTC)
That is an easy mistake. I didn't even know what all the stuff in the equations stood for. *blush*
kiwiria
May. 24th, 2009 09:29 am (UTC)
Only geeky people would ;) Yes, I'm a geek and I revel in it! :-D