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In order to make the effective acceleration due to gravity equal to zero at the equator, the angular velocity of rotation of the earth about its axis should be $(g = 10 {ms}^{- 2}$ and radius of earth is 6400 kms)

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0 rad sec−1

1800rad sec−1

180rad sec−1

18rad sec−1

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detailed solution

Correct option is B

g'=g−ω2Rcos2λ For weightlessness at equator λ=0 and g'=0∴0=g−ω2R⇒ω=gR=1800rads

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In order to make the effective acceleration due to gravity equal to zero at the equator, the angular velocity of rotation of the earth about its axis should be (g=10 ms−2 and radius of earth is 6400 kms)

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In order to make the effective acceleration due to gravity equal to zero at the equator, the angular velocity of rotation of the earth about its axis should be $(g = 10 {ms}^{- 2}$ and radius of earth is 6400 kms)