How fast would a planet have to be spinning for the centrifugal/centripetal force to cancel out the force of gravity near the equator?
So, I know that on the planet earth, the force of gravity is actually slightly less nearer the equator, due to the Centrifugal Centripetal Spinny Force. Not by a whole lot, but by some small amount.
This Centri Spinny Force also makes the entire planet deform slightly outwards near the equator, making the planet sort of a flat oblong shape.
Personally, I find both of these things extremely weird to think about, but that's mainly because more or less every aspect of the natural world is weird if you think about it. But this isn't about that. My real question is this:
Would it be possible for a planet to be spinning so fast that its Spinny Force cancels out the force of its gravity (more or less), without it turning into a disc and tearing itself apart?
I can see this sort of being like if you were standing on the surface, and moving towards the equator, you would start to be able to jump higher and higher, until you eventually hit the exact equator, at which point, you would start to drift, until you pass the equator, and start to fall back down again.
Let's just say that we find a planet somewhere that has the exact same size, makeup, and gravity as earth, but without all of the stuff that we have on the surface. (Mainly because it seems like having a lot of water sloshing around on the surface in this scenario would cause problems.)
This would also be for the average human, say, 60kg, if that even matters.
Okay, edits:
Would this planet be destroyed by the stresses upon it, and if not, would it be even remotely livable on the surface. In this case, I'm defining "livable" as "I could walk around without immediately dying for some reason", assuming this planet has a earth-like atmosphere and pressure prior to whatever caused it to spin in the first place.
This post was sourced from https://worldbuilding.stackexchange.com/q/40189. It is licensed under CC BY-SA 3.0.
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