# Zero g planet

If there were a planet with the mass $$(6\times 10^{24}\text{kg})$$ and angular velocity $$(7\times10^{-5}\frac{\text{rad}}{\text{s}})$$ of Earth, what would the necessary radius need to be in order for the free-fall acceleration on its surface to be $$0 \frac{\text{m}}{\text{s}^2}$$?

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