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  1. #1
    Community Leader NeonKnight's Avatar
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    I'll post my interesting measurement as a puzzle:

    If you have a rope long enough to wrap around the equator of Mars, how much longer must the rope be to allow a 6 Foot tall man to walk underneath it all the way around?
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  2. #2

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    r = radius of Mars in feet
    C1 = circumference of Mars in feet
    C2 = new length of rope in feet
    pi = 3.14159
    L = additional length of rope necessary.

    C1 = 2 * pi * r
    C2 = 2 * pi * ( r + 6 )

    C2 - C1 = L

    Equatorial radius of Mars = 3396.2 km = 11142388 feet

    C1 = 70009629 feet
    C2 = 70009667 feet

    L = 38 feet.

    That doesn't seem long enough. Maybe I'll recheck my math...

    edit: No, I'm right. C + x = ( 2 * pi * r ) + ( 2 * pi * ( r + x ) ) That's kind of strange; you'd think it would be much bigger.
    Last edited by Midgardsormr; 04-28-2008 at 11:49 AM.
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  3. #3
    Community Leader NeonKnight's Avatar
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    Nope, you got it, it's not that long is it? People think it needs to be really long, like miles, but only a mere 38 feet.

    Infact it doesn;t matter what the Circumference is. Mercury, Pluto, Jupiter, etc, it always will be 38 feet
    Daniel the Neon Knight: Campaign Cartographer User

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  4. #4
    Community Leader RPMiller's Avatar
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    Isn't it the length of a parabola with an amplitude of 6' that you are actually measuring? I seem to remember this question in my high school trig class.
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  5. #5
    Community Leader NeonKnight's Avatar
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    Quote Originally Posted by RPMiller View Post
    Isn't it the length of a parabola with an amplitude of 6' that you are actually measuring? I seem to remember this question in my high school trig class.
    Nope, it's circumference.

    Observe in the following diagram where we start with a Circle of only radius 6. Each time we increase the radius by 6 feet, the circumference only oncreases by about 37.7 feet.
    Attached Thumbnails Attached Thumbnails Click image for larger version. 

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    Daniel the Neon Knight: Campaign Cartographer User

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  6. #6
    Community Leader RPMiller's Avatar
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    I see. I was thinking of it in slightly different terms. The rope and the man stay taut against the planet. Something like this:
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  9. #9
    Guild Artisan töff's Avatar
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    I really wish the world (read that as the US) would just stop fooling around and adopt the metric system
    ...I completely agree. Seems the US finds learning from the rest of the world a sign of weakness or failure.
    The U.S. officially adopted the metric system somewhere around the 1930's, I think. But like many populaces, we use both in everyday practice. We buy Pepsi in 2-liter bottles but milk & gasoline in gallons. We measure the "grams of fat" and "mg of sodium" in a Quarter-Pounder (a McDonalds hamburger). We give a pint of blood but receive cc's of plasma. Our wrenches come in both "mm" and "in". Our speedometers show both kph and mph. Cocaine is sold on the street by the "kee" (kilo[gram]), but pot by the ounce or pound.

    btw ... the day I can't buy a pint in a pub in Britain will be a day I shed a tear.

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