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Suppose that the angular velocity of rotation of earth is increased. Then, as a consequence.

1. There will be no change in weight anywhere on the earth
2. Weight of the object, everywhere on the earth, will decrease
3. Weight of the object, everywhere on the earth, will increase
4. Except at poles, weight of the object on the earth will decrease

Correct answer: Except at poles, weight of the object on the earth will decrease

Solution

Effective g = g - w^2*R*cos^2(lat). Increasing w reduces effective g everywhere EXCEPT at the poles (cos(lat)=0), where weight is unchanged. So weight decreases everywhere except at the poles.

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