Tried to calculate this and got a result ten times higher, 62.8 meters.
Am I retarded or is Randall really a hack fraud?
the answer is clearly 2*pi you asshat
reas your fucking photo
Op clearly failed basic algebra.
>>7964764
Try and calculate it yourself instead of just trusting what the hack is writing, you simpleton.
>>7964767
2pi(r+1)-2pir = 2pi
There. Happy, retard?
>>7964767
okay i'm going to bite you stupid fucking faggot
what is the difference between (R)*2*pi and (R+1)*2*pi, where R is the current radius of the earth?
don't worry faggot, you don't have to reply, just delete this thread once you realize what a fucking idiot you are
>>7964770
Use the actual numbers.
>>7964762
You're a tard.
6371000 * 2pi = 40009880 = c1
6371001 * 2pi = 40009886 = c2
c2 - c1 approximately amounts to 6.
Randal checks out.
>>7964773
Ah, a troll.
You got me. Congratulations.
>>7964773
nobody is this retarded
checking out
Are we talking about just raising the rope one meter at a certain point or raise it one meter all away around like a floating ring?
>>7964770
>>7964764
Lol you guys are fucking retards. And so is Randall in this particular case, or else this image was created by a troll.
Your calculations are assuming that the shape of the rope after being pulled taught one meter off the surface is a circle. It doesn't take a genius to realize that the shape of the rope is circular on one side and conical on the other.
This smells like a troll thread, and you retards are falling for it and showing how incredibly dense you are.
I did a similar calculation myself at one point. I don't remember the results but it was far-fucking off from the result given in that image.
>>7964784
That's what the other fools in this thread are calculating. As if we're raising the rope one half meter off of the entire surface of the earth in a floating ring.
>>7964788
gee i wonder why the picture made me think that
maybe it's because someone is elevating a rope at multiple points
>>7964784
Diameter of earth: 12.000 km
Circumference of earth: 12.000 x 3,14 = 37.680 km
Also the length of the rope
"Diameter" of rope raised one meter off the ground all the way around: 12.000,002 km
New length of rope: 12.000,002 x 3,14 = 37.680,0628 km
Extra rope length: 62,8 meters
>>7964787
Ah. Perhaps I misinterpreted the question. A far more challenging and interesting problem is to ask how much rope needs to be added so that you can pull the rope directly off the ground at one point until it becomes taught at one meter from the surface.
>>7964797
I was thinking about problem number 4 on this website:
http://www.qbyte.org/puzzles/puzzle01.html
>>7964797
2sqrt(2r+1)+2r*arccos(r/(r+1))
Not challenging or interesting at all.
>>7964795
You might want to check that second calculation before you post again.
>>7964802
Not challenging when you google the answer, dipshit.
>>7964805
Literally 1 minute with a pen and paper. But OK, retard. Whatever makes you feel intelligent.
>>7964804
Fuck me then, it was true all along.
So much for trying to calculate by hand.
Let [math]C[/math] be the circumference and [math]r[/math] be the radius of the earth.
[math]C=2\pi r[/math]
Therefore, if you want to increase the r by one meter, it would be:
[math]C'=2\pi (r+1)[/math]
There you go. It's only [math]C-C'=2\pi[/math] meters
>>7964812
Woops, correction:
[math]C'-C=2\pi[/math] meters
MUNROOOOOOOEEEE
>>7964802
Small typo, should be
2sqrt(2r+1)-2r*arccos(r/(r+1))
>>7964762
L=(2*pi)*r
L'=2*pi
2*pi= 6.28319
>>7964807
Alright, so I had wrongly assumed that the problem was as difficult as the one on the website posted above (I did it a year ago for shits n giggles). I'm not saying it's really hard, but it should take you more than just one minute.
The question is as follows. If you take a belt tightly wrapped about the earth's surface and you increase its length by 1m, how far can you now lift up the belt from the surface of earth before it becomes taught?
>>7964827
How heavy is the rope?
>>7964829
two pounds per yard
>>7964830
is dy/dx of x=y(y+1)
1/(2y) ?
>>7964827
1 = 2sqrt(2r+x^2)-2r*arccos(r/(r+x))
Requires numerical approximation to solve for x
>>7964834
Fucking typos. It's
1 = 2sqrt(2rx+x^2)-2r*arccos(r/(r+x))
>>7964795
> using a peroid/full stop to mark thousands and comma to mark decimals
>>7964841
>using burger math
>>7964843
>implying burgers
at least we can both agree that burgers are human refuse
>>7964838
That's right. Nice work
What if you put a rope around jupiter and started to pull it away, would it go through and free or get stopped at one point near the center?
>>7964853
There is a lot of pressure as you go towards the center of jupiter, the pressure would probably push it away, unless you were strong enough
>>7964795
Try again loser