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 $(g = 10\,m{s^{ - 2}}$ and radius of earth is $6400 \,kms)$

  • A

    $0\,\;rad\,{\sec ^{ - 1}}$

  • B

    $\frac{1}{{800}}rad\,se{c^{ - 1}}$

  • C

    $\frac{1}{{80}}rad\,se{c^{ - 1}}$

  • D

    $\frac{1}{8}rad\,se{c^{ - 1}}$

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