Seven Champions: The Groundsman

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7 Responses

  1. EltonJ says:

    Very good render, Greywulf.
    .-= EltonJ´s last blog ..Nomad Hunter =-.

  2. drow says:

    i’m pretty certain that mount everest weighs on the order of billions of tons, not hundreds of thousands.

  3. greywulf says:

    @drow Several google searches (including this one) and a few hunts in good ol’ reference books puts it around 100 million kg – that’s around 110-120 thousand tons. Surprisingly low, but some even put it even lower at a “mere” 100 thousand kg. Others put it much higher – up to 3 billion tons – but that one assumes it’s entirely composed of a superdense rock such as pure marble, which it ain’t.

    We Superhero game geeks are fascinated by such facts and figures :D

  4. drow says:

    marble has a specific gravity of ~2.56, which is actually lower than those of the major rock types within mt. everest, gneiss (2.87), slate (2.69), and limestone (2.61).

    by far, the largest variable in determining the mass of a mountain is defining what, exactly, comprises the mountain, as they don’t often exist as isolated cones upon a perfectly flat plain at sea level.

    given a cone of rock massing 100 million metric tons, 1.0e11 grams, we can determine its size. first, we assume that its average specific gravity is 2.5, which yields a volume of 4.0e10 cubic cm.

    next, we can guess at the slope of mount everest by comparing its base camp (5400 mASL) to its summit (8850 mASL). the horizontal displacement between these two sites is approximately 5km, yielding a slope of 35 degrees. from this slope, we derive that the relationship between that the height and radius of our cone is r = 1.428 * h

    the forumla for the volume of a cone is V = 1/3 * pi * r^2 * h

    substituting our radius relationship into this formula, and then solving for h, we obtain h = (3 * V / pi * 1.428^2) ^ 1/3

    substituting our actual volume for the cone, this yields h = 2656 cm

    a fair hill, but not much of a mountain. :)

    working this the other direction, using the proposed numbers as actual for the mountain (radius = 5km, height = 3.45 km, specific gravity = 2.5), yields a mass of 225 billion metric tons.

    the actual mass is almost certainly less than this, since mt. everest is not, in fact, a perfect cone, but it’s going to be within one order of magnitude lesser, not six.

    i rest my geek case.

  5. drow says:

    argh. “given a cone of rock massing 100 million KILOGRAMS”, per your figure.

  6. greywulf says:

    @drow Lol! I bow before your geek credentials, even though your math is out :D

  7. drow says:

    don’t make me drop a mountain on you. :)

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