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 Forum index » Diversions » Perplex City Puzzle Cards » PXC: Purple Puzzle Cards
[SOLVED] #185 - purple - spin cycle
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kksweety
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Joined: 14 May 2005
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Location: Liverpool UK

[SOLVED] #185 - purple - spin cycle

text reads:

this is an excerpt from mission to mars, one of perplex city's best selling novels.

chaper 15, page 350

"But isnt it true that travel in space, especially or long periods is extremly unhealthy? Bone loss, muscle loss, problems with the immune system" rattled off the reporter.

"Not to mention heart problems, balance disorders and anaemia," interjected harris quickly, sighing, "space travel is extreamly unhealthy, yes. Weightless space travel that is. We intend to use artificial gravity to eliminate all of those problems."

"Ah, you mean spinning up the ship" replied the reporter with an exceptionally crafty and self satisfied look on his face. "Surely you'd need a very large and expensive spacecraft to reduce the rotation speed and keep coriolis forces down?"

Harris smiled. Clearly this reporter wasnt as ignorant as she'd first thought. "No, we're using a tether system. We're spinning up to mars gavity after our initial burn, with a tether radius of *Blanked Out* metres and two rotations per minute. Again problem solved"

-----------------------------------------------------------------------------------

What's the effective radius of the tether?
spin cycle 1.JPG
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spin cycle 1.JPG


PostPosted: Tue Jul 12, 2005 2:01 pm
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ariadne_ac
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PC has a Mars planet...how interesting... it seems we occupy a similar space in the universe at least.
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PostPosted: Tue Jul 12, 2005 2:04 pm
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KSG
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That, or it's another sign of their Earth obsession, just like their fashions, libraries of our books, and stores full of replicas. There's no way to tell which yet.
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PostPosted: Tue Jul 12, 2005 2:19 pm
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firefox
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are there any figures on the diagrams, circumference of the spinning thing by any chance? if not then its a bit trickier.

edit: jeb just pulled up a magical forumla in chat (which overlooked) and hes posting the solve now. wiggle factor of about 3m with different values for mars' gravity.

edit edit: could be wrong. sigh

PostPosted: Tue Jul 12, 2005 2:20 pm
Last edited by firefox on Tue Jul 12, 2005 2:52 pm; edited 2 times in total
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kksweety
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nope no figures at all... just counterweight one side, hab the otherside and tether wrote in the middle

PostPosted: Tue Jul 12, 2005 2:45 pm
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JebJoya
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Joined: 13 Apr 2005
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Right...

Spoiler (Rollover to View):
First, take the centripetal accelleration:

a=v²/r

We need a to be whatever our value for g on Mars is (about 3.822)

we have the angular velocity - 2 rev/min = 4Π rad/min = Π/15 red/sec

(angular velocity) ω=v/r

so v=Πr/15

so 3.822=Π²r²/225r

r=225*3.822/Π²

r≈87.13m


Jeb

THIS IS RIGHT!
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PostPosted: Tue Jul 12, 2005 2:49 pm
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firefox
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this site was helpful is reassesing what we already knew

http://www.graybiel.brandeis.edu/history/finalfrontier.html

i think we need to decide on a good speed for the thing to be rotating at and guesstimate backwards, then tie in the formulas. i personally can't see where Jeb went wrong.

PostPosted: Tue Jul 12, 2005 3:24 pm
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step
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I just found this site which corroborates Jeb's solution.

Quote:

For the International Mars Mission developed during the ISU SSP '99 design project, a truss structure with a radius of 85 m and a rotation rate of 2 rpm generating an artificial gravity of 0.38 g (ISU, 1991).

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PostPosted: Tue Jul 12, 2005 3:54 pm
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JebJoya
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see? Razz

Jeb

(ps, sorry for the tone, this really got under my skin, mainly because I was worried that I got it wrong - fyi, the outside capsule moves at about 60-70 km/h to create the force, so it's not that short a length Smile )
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PostPosted: Tue Jul 12, 2005 6:23 pm
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looosy
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If you go to http://www.marsinstitute.info/rd/faculty/dportree/rtr/ma18.html it gives an overview on how small missions to Mars could overcome the gravity issue - ie. using tethers.

The following is a quote from the website "The Concept 4 vehicle is a large dish-shaped aerobrake with twin Space Station Freedom-derived cylindrical habitats. The spacecraft relies on tethers to create artificial gravity; the astronauts reel out the habitat modules from the aerobrake, then spin the assemblage about its center of mass (roughly midway along the tether). Gravity level depends on tether length and spin rate. For example, generating one terrestrial gravity requires a 2936-foot tether if the spin rate is held to one rotation per minute; generating Mars gravity at two rotations per minute requires only a 278-foot tether."

287 feet converts to 84.73m

Which seems to agree with the previos answer +or- marsG value.
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PostPosted: Thu Aug 04, 2005 3:35 pm
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Kvasir
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Argh! I hate approximations.
Was working from a Mars gravity of 0.38 rather than 0.3822 and it makes a full two metres difference.
So I'm locked out for 24 hours....

PostPosted: Wed Oct 19, 2005 7:28 pm
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JebJoya
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Just to say
Spoiler (Rollover to View):
87
is accepted by the site

Jeb
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PostPosted: Thu Oct 20, 2005 11:15 pm
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Hunting4Treasure
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Never mind! I double checked my answer and Jeb is right. If anyone read what I had posted here, forget it! Embarassed
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PostPosted: Fri Oct 21, 2005 1:40 am
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firebird
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Most annoyed!

278 tether ... means radius of tether is 139

Which if the number proposed by JebJoya is accepted is most ... perplexing! Rolling Eyes

Argh
Now locked out.

PostPosted: Wed Nov 16, 2005 4:19 pm
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zaeil
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firebird wrote:
278 tether ... means radius of tether is 139


Nope. The tether goes from the point of rotation to the object being swung, meaning that its length IS the radius. Tie something to the end of a string and swing it around (carefully, please, don't want anyone losing an eye to science Wink )--you'll see what I mean.

EDIT: And your answer has to be in meters.
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PostPosted: Thu Nov 17, 2005 10:44 am
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