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At what angular speed should the earth rotate about its axis so that apparent weight of a body on the equator will be zero?

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At what angular speed should the earth rotate about its axis so that apparent weight of a body on the equator will be zero? What would be the length of the day at that periodic time?

[Radius of earth = 6400 km, g = 9.8 m/s2 ]

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Angular speed = 1.237 x 10–3 rad/s, and length of the day is 5080 s

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