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Answer in Detail · Q28

Q.At which place on the Earth's surface is the gravitational acceleration minimum? Why?

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At the equator, both effects that reduce g reach their MAXIMUM: the Earth's rotational centripetal-force requirement is largest here, since a point on the equator traces the largest possible circle (radius R) as the Earth spins, giving the biggest reduction Rω2cos⁡2(0)=Rω2R\omega^2\cos^2(0)=R\omega^2; and the equatorial bulge means the equatorial radius is the LARGEST of any latitude, so points there are farthest from the Earth's centre, giving the smallest GM/r2GM/r^2 of any latitude by the shape effect alone. With both the rotation reduction and the shape reduction acting together and both being maximal at the equator, gravitational acceleration rea …

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