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JEE Main 2017 Physics question

PhysicsGravitationJEE Main 2017

If the Earth has no rotational motion, the weight of a person on the equator is . Determine the speed with which the earth would have to rotate about its axis so that the person at the equator will weigh . The radius of the Earth is km and m s.

Answer: (1)

Solution

At the equator the apparent weight is reduced by the centripetal requirement:

W' = mg - mω^2R.

Setting ,

mg - mω^2 R = Missing argument for \frac\frac34 mg ω^2 R = Missing argument for \frac\frac g4.

Hence

ω = = =

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Question ID VK-115770