The earth has a radius of 6380 km and turns around once on its axis in 24 hours. (a) What is the centripetal acceleration of an object at the earth's equator? Give your answer in m/s and as a fraction of g. (b) If the centripetal acceleration of at the equator is greater than g, objects would fly off the earth's surface and into space. What would the period of the earth's rotation to start this fly off?

Principles of Physics: A Calculus-Based Text
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Chapter3: Motion In Two Dimensions
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The earth has a radius of 6380 km and turns around once on its axis in 24 hours. (a) What is the centripetal acceleration of an object at the earth's equator? Give your answer in m/s and as a fraction of g. (b) If the centripetal acceleration of at the equator is greater than g, objects would fly off the earth's surface and into space. What would the period of the earth's rotation to start this fly off?
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