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

Suppose that the angular velocity of rotation of the Earth is increased. Then, as a consequence,
  1. weight of the object, everywhere on the earth, will decrease.
  2. weight of the object, everywhere on the earth, will increase.
  3. except at poles, weight of the object on the earth, will decrease.
  4. there will be no change in weight anywhere on the earth.

Solution

Effective acceleration due to gravity, g′=g-ω2Rcos2⁡ϕ, where ϕ is latitude. There will be no change in gravity at poles as ϕ=90o. At other points as ω increases, g' will decrease.

Asked in: JEE Main 2018 (16 Apr Online)

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