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Determine the speed with which the earth...

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

Text Solution

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The correct Answer is:
A, D
`g' = (3)/(5) g = g - R omega^(2) cos^(2) 0^(@)`
`:. R omega^(2) = (2)/(5) g`
or `omega = sqrt((2g)/(5R)) = sqrt((2 xx 9.8)/(5 xx 6400 xx 10^(3)))`
`= 7.8 xx 10^(-4) rad//s`
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