Earth's Gravity if the Earth rotated the opposite direction

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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?
 
on Phys.org
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.