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Old 11-16-2004, 12:02 PM   #11
Iron Greasel
Fzoul Chembryl
 

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Well, I'd say they add 50 meters of rope. Theres some extra but what does it matter? Besides the rope is going to shrink at winter, so they'll need that extra bit.
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Old 11-16-2004, 04:21 PM   #12
LennonCook
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Join Date: November 10, 2001
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Quote:
Originally posted by Variol (Farseer) Elmwood:
quote:
Originally posted by Davros:
So what you are saying Variol [img]smile.gif[/img] is that the answer is 6.283 metres (give or take a few extra decimal points). Is this what you mean?
I don't know what the diameter of the Earth is, I'd have to do a search, but that would be my guess. [/QUOTE]You'll find that you don't need it. If we let the earth's diameter be d, the circumpherence of the earth, and hence the original length, is:
C[1] = (pi)d
To get the rope 1 meter above the ground, we add 1 to the diamater on both sides of the circle - which, as you said, adds 2 to the diameter. So this diameter is (d + 2), making the new circumpherence, and so the new length of the rope:
C[2] = (d + 2)pi
Making the difference in length:
C[2] - C[1] = (d + 2)pi - (pi)d = 2pi
Which is independant of the diameter.

EDIT: Obscure typos.

[ 11-17-2004, 04:43 PM: Message edited by: LennonCook ]
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Old 11-16-2004, 04:57 PM   #13
T/-/alali
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Umm LennonCook, could you say that in english... please...
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Old 11-16-2004, 04:57 PM   #14
Davros
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Thanks Lennon - as I said 6.283 m give or take a few decimal points .

Everyone who trusts in the geometry will come to that answer very quickly, but then a surprisingly large amount of people will probably then dismiss the answer of a little over 6 metres as being impossibly small. I mean to say - to shift the radious a full metre over the circumference of the world? I ask you .

Variol - you stopped short of letting something = x (or d or r or whatever) and so stopped short of realising that a solution was available now rather needing to know the diameter.

For those who struggle to place their faith in maths, it's only when you look at the infintismally small difference in percentage terms that a metre makes on the diameter of the erath that you rationalise that it takes very little rope to make this change.

Davros awaits the English test
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Old 11-16-2004, 07:20 PM   #15
Donut
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Can I just ask. Are you people doing the diabolical spelling thing to wind old Donut up or do you really spell like that????



To be a little more accurate the answer is 6.28571428571429 metres
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Old 11-16-2004, 07:38 PM   #16
Timber Loftis
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Quote:
Originally posted by LennonCook:
You'll find that you don't need it. If we let the earth's diameter be d, the circumpherence of the earth, and hence the original length, is:
C[1] = (pi)d
To get the rope 1 meter above the ground, we add 1 to the diamater on both sides of the circle - which, as you said, adds 2 to the diameter. So this diamater is (d + 2), making the new cirumpherence, and so the new length of the rope:
C[2] = (d + 2)pi
Making the difference in length:
C[2] - C[1] = (d + 2)pi - (pi)d = 2pi
Which is independant of the diamater.
Wow, that's a lot of work to say:

C=2(pi)r+2 is 2(pi) more than C=2(pi)r.

What's with this wher one techer asks the qeustion and then another answers? Tag teeming today, boys? And, D1 & D2, you'll note that you're answers don't match up to well. Being off by too at just the third decimel place? That's not very acurate, now is it?

And, D1, try as you might, but I can always be infinately more acurate than you -- such is the natur of pie.
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Old 11-17-2004, 10:18 AM   #17
Davros
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Hmm - D3 material there if ever I saw some [img]smile.gif[/img] . Tell me TL - do you like sports
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Old 11-17-2004, 11:12 AM   #18
Bungleau
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Quote:
Originally posted by Timber Loftis:
Wow, that's a lot of work to say:

C=2(pi)r+2 is 2(pi) more than C=2(pi)r.

Sorry, Tee-Yell, but yer math fawls on its' face. 2(pi)r + 2 is ownly to mawr then 2(pi)r. If'n yew punk'dyouated it prop'erly, it'd bee pi(d + 2) iz 2pie mawr then pie(dee).

Da mathagishuns winns agin!

*ouch! This hurts!*
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Old 11-17-2004, 05:11 PM   #19
Timber Loftis
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Um... well, you know what I meant! Oops!

[img]graemlins/homer.gif[/img]
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Old 11-17-2004, 05:28 PM   #20
Ivelliis
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*grin* This is my maths homework. Except not about the Earth, Limbo, or anything like that.

If I get stuck on any questions mind if I post them
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