this post was submitted on 15 Oct 2024
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xkcd

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What if Earth grew 1cm every second? (www.youtube.com)
submitted 1 month ago by [email protected] to c/[email protected]
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Original static webpage version: https://what-if.xkcd.com/67/

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[–] [email protected] 16 points 1 month ago* (last edited 1 month ago)

Actually, even if the density was constant, the earth would turn into a black hole when it reached about 1.925 * 10^13 times its original mass, since the mass of a black hole is proportional to its radius, whereas the mass of the earth in this scenario grows proportional to radius cubed. This should happen around 371 years (?) after starting.

(Please check my calculations, I’m not 100% sure.)