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  4. If the rotational speed of earth is increased then weight of a body at the equator:

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Q. If the rotational speed of earth is increased then weight of a body at the equator:

ManipalManipal 2004Gravitation

Solution:

The acceleration due to gravity at the equator is given by
$ g=g-{{R}_{e}}{{\omega }^{2}} $
According to the question, the rotational speed or angular velocity is increased and so, the amount of $ {{R}_{e}}{{\omega }^{2}} $ will increase. Therefore, the acceleration due to gravity $(g)$ on equator will decrease which will cause the weight of body to decrease.