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Determine the speed with which the earth...

Determine the speed with which the earth would have to rotate on its axis , so that a person on the equator would weigh `(3)/(5)` as much as at present. Take `R = 6400 km`.

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Weight on the equator `W'=3/5 W implies 3/5 mg = mg - momega^(2) R" "implies" "omega = sqrt((2g)/(5R))`.
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