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

Asked in JEE Main Online 2018 · Effect of the Earth's rotation

Answer: (3) except at poles, weight of the object on the earth will decrease

Step-by-step solution

The apparent weight follows g_λ=g-ω²R cos²λ, where λ is the latitude.

Raising ω makes the subtracted term larger at every place where cos λ eq0.

At the poles λ=90°, so cos λ=0 and the term stays zero however fast the earth spins.

So the weight falls everywhere except at the poles.

Why the other options are wrong

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