Discussion
If speed of rotation of earth increases, the weight of the body
Answer: B
The weight of a body would decrease.
On the rotating Earth, part of gravity is used to supply the centripetal force that keeps a body moving in its circle, so the apparent weight is
\[ g' = g - \omega^{2} R \cos^{2}\lambda \]
where \(\omega\) is the angular speed and \(\lambda\) the latitude. A faster rotation means a larger \(\omega\), so \(g'\) and the weight fall everywhere except at the poles, where \(\cos\lambda = 0\). At the equator, rotating about 17 times faster would make objects weightless. So weight neither increases nor stays the same in general.
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