I was wandering how much thermal expansion would be on earth if all of it started at like 0°C and went to 50°C

  • GreyEyedGhost@piefed.ca
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    23 hours ago

    Given the quaint physics of circles, the expansion of a ring of silicate around the earth would be quite noticeable. C = 2×pi×r, which can be converted to r = C/(2×pi). Plugging in those two values gives us

    40000/(2×pi) = 6366.1977 km

    40008/(2×pi) = 6367.4710 km

    So, taking this ring from 0° to 50° would cause it to rise 1.2 km into the air, assuming it kept its integrity.

    A simpler way to write this is

    (40008 - 40000)/(2×pi) or 4×pi.

    A tiny difference, relatively speaking, but a quite notable difference given the context.

    • XeroxCool@lemmy.world
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      10 hours ago

      Yes, that would be one way to make it noticeable. If all land/sea floor lifted, gradually, 1.2km into the air, we wouldn’t see it. I also Flubbed the per-km increase of the ruler and edited it to correct the increase down to 20cm per km. So as far as our ability to tell things are 0.02% further, no mere mortal would recognize it. But with a lap band around the Earth, we’d definitely notice the new halo floating above us instead of being a tripping hazard.

      That reminds me of a fun fact about how the increase in circumference does not care what your starting values are. If you wanted to wrap a rope around a soccer ball, then make the rope lift 1m above the surface of the ball all around, you’d do probably do the pid math like (pid2)-(pi*d1) :

      3.140.022m=0.069m of rope around the ball
      3.14
      (0.022+1+1)=6.349m of rope to float 1m above the ball
      6.349-0.069=6.28m of extra rope

      Then do it for the planet.

      3.1440,000,000m=125,600,000. 00m of rope around the planet
      3.14
      (40,000,000+1+1)=125,600,006.28m of rope to float 1m above the ground 125,600,006.28-125, 600,000= 6.28m of extra rope.

      1m above, or 2m greater diameter, can just be fed directly into pid as derived from pi(d2-d1) since we know it’s a basic request to lift it 1m