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Why is this calculation of earth gravitational acceleration incorrect?

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Hello there,

I was taught:

[tex]a = {v^2 \over R}[/tex]. I substitute [tex]v[/tex] for the speed of the rotating earth at the equator, and the radius, [tex]R = 6378m[/tex]. And I get [tex]a = 0.03 \rm m/s^2[/tex].

It looks like the equation [tex]a = {v^2 \over R}[/tex] may incorrect. Why am I taught this equation in University if it is false?

Thank you for your time.

Kind regards,
Marius

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