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I bought a very long rope and tied it tightly around the earth’s equator so there’s no gap at all between the rope and the earth (~40,000 kilometers of rope).

Now, I want to lift the rope evenly all around the earth to get a unified gap of 1 meter between the earth and the rope.
How much more rope I'm going to need?

p.s. If you don't know how to calculate this, take a guess and post your estimate.

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User Comments

    1. GlossGreen
      It wasn't multiple choice this time. Us public school types don't do well with having to figure stuff out on our own.
  1. Majik
    I'm going to guess 3.2 km more
  2. kdawg68
    I'll take a guess....

    ~ 120,000 meteres of rope? That's too simplistic so it can't be right. I don't know if I ever got a question right in school that dealt with trains leaving stations. I usually just cheated off whoever was next to me.
  3. GlossGreen
    I am so wrong with this but 40,000.5 km
  4. Unfettered
    About 6 KM of rope using rough figures

    I changed this twice, but I think I was right the first time.

    Except for now I notice you increased r by .001 km, not 1 km. damn your tricky unit conversions

    ... goes back to calculations

    And now, the answer is 5 meters of rope extra
  5. GlossGreen
    I am so bad at math.
  6. clioandme
    I liked the multiple choice version better, even if I did get it wrong.
    1. GlossGreen
      Can we get multiple choice now? Please?
  7. urikalish
    How much more rope I'm going to need?
    1. 1m - 10m
    2. 10m -100m
    3. 100m - 1km
    4. 1km - 10km
    5. 10km - 100km
    6. 100km - 1,000km
    7. 1,000km - 10,000km

    1. GlossGreen
      100m-1km
    2. Unfettered
      1: You need roughly 5 meters of rope
    3. Majik
      1km - 10km
    4. clioandme
      Damn you Uri! I thought I had bought myself a little more time than that. Well, I'll just run along, but see if anything occurs to me. I'm too lazy to do the math after a day of teaching.

      For anyone else, Yuri did the math for a similar problem here:
      www.blogcatalog.com/discuss/entry/rope-around-the-world
  8. urikalish
    OK, here goes...

    x = Additional rope needed
    r = Earth radius in meters
    old rope length = 2πr
    new rope length = 2π(r+1)

    x = 2π(r+1) - 2πr
    x = 2π(r+1 - r)
    x = 2π

    Additional rope needed to raise the rope 1 meter in the air all around the earth: 6.3 meters.
    1. Unfettered
      Heh. close enough. That's what I get for rounding Pi
    2. GlossGreen
      Well, I was a little off.
    3. urikalish
      @Unfettered
      Cool!

      @GG
      Don't feel bad, it's very counter-intuitive!
    4. GlossGreen
      I'll just have to study more for your next quiz.
    5. Unfettered
      I, of course, took the long way around and solved for r in km, then added .001 and multiplied by 2Pi. This just proves that mathematicians are smarter than physicists
    6. urikalish
      I'm a software engineer...
    7. Unfettered
      ok... software engineers who do math well are smarter than software engineers who do physics poorly
    8. urikalish
      I didn't remember you are a physicist... Hmmm... Can you start a thread and explain Schrödinger's cat interpretations?
    9. Unfettered
      ok.. physics student. By explaining SC, do you mean why the cat isn't really both alive and dead simultaneously?
    10. urikalish
      Maybe the popular science group is a better place for this thread...
      www.blogcatalog.com/group/popular-science
    11. Unfettered
      I'll consider posting something there, Uri. I'll have to read up on the Copenhagen Interpretation first, to make sure I know what I'm talking about. But yeah.. that would be the place to do it.
    12. urikalish
      That will be cool^2
  9. crpitt
    So the answer wasn't a cat?
    1. GlossGreen
      That was the last one. Keep up with the times.

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