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gravity provides pretty much the same force on a given mass anywhere on earths surface, due to its mass only and irrespective of earth spin.

example:

say your 70 kg mass at equator (where centripal action is greatest)

force due to gravity : f = (G*m1*m2)/d^2 = 687.4 newtons

force due to centripetal action at equator :

f = mass * (v^2/r)= 70*0.034 = 2.38 newtons

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Q: Does gravity zero at equator according to centripetal force explain?
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