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by adalacelove
451 days ago
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According to Wikipedia [1] we consume 9717 Mtoe or equivalently 408 TJ (per year, although it is not explictely stated, which I find annoying). The earth moment of inertia is about I=8e37 kg m2 [2] The energy extracted by a slowdown of angular speed from wa to wb would be 1/2 I(wa2-wb2). Approx wa=2pi/86400 and wb=2pi/86401. Energy extracted: 4.9e24J=4.9e12TJ. We would have energy for about 12 billion years. If I double check with Kagi's assistant with Claude 3.7 (I'm in my phone and I could easily have made an error) it starts with my exact reasoning and figures but messes up final numbers (so close!!!) to give a total of 40 billion years, which nevertheless is the correct order of magnitude. [1] https://en.m.wikipedia.org/wiki/World_energy_supply_and_cons... [2] https://scienceworld.wolfram.com/physics/MomentofInertiaEart... |
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