If the earth rotates faster than its present speed, the weight of an object will
Increase at the equator but remain unchanged at the poles
Decrease at the equator but remain unchanged at the poles
Remain unchanged at the equator but decrease at the poles
Remain unchanged at the equator but increase at the poles
If the earth rotates faster than its present speed, the weight of an object will
$g' = g - {\omega ^2}R{\cos ^2}\lambda $
Rotation of the earth results in the decreased weight apparently. This decrease in weight is not felt at the poles as the angle of latitude is $90^o$.
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