How would opposite Earth rotation affect weight at the equator and poles?

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rogersjc
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1. Suppose the Earth rotated in the opposite Direction. How would this effect your weight at the equator. At the North Pole



2. Newtons Gravity Equation and the centrifugal Force

Fg = -G*(Me*rhat/r^2) + omega^2*R + Fn

3. Since the only thing I can see that will change is the omega value it will be the opposite sign. I do not believe the gravity will change and thus the weight will not change since the omega is squared. Is that the correct way to go about solving this problem?
 
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The direction should have nothing to do with the result.

The mass of the Earth, its size and rate of spin are all the same.