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## Main Question or Discussion Point

I'm confused about some results I've been getting. I tried calculating the equatorial velocity of Earth by the equation [tex]R\varpi=v[/tex], and I got ~465 [tex]m/s[/tex]. According to various resources, this is correct. But then I tried to calculate it again, using [tex]g=a_{c}=\frac{v^{2}}{R}[/tex], and I got ~8000 [tex]m/s[/tex].

Obviously, the second is wrong. My question is why? My only guess is that maybe g doesn't work as [tex]a_{c}[/tex] in this case due to the normal force from the Earth or something of the sort, but that seems a weak explanation...

Obviously, the second is wrong. My question is why? My only guess is that maybe g doesn't work as [tex]a_{c}[/tex] in this case due to the normal force from the Earth or something of the sort, but that seems a weak explanation...