Q.

The  rotation of the earth having radius R about its axis speeds up to a value such that a man at latitude angle 60° feels weightlessness. The duration of the day in such a case is:

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a

πRg

b

π2Rg

c

π3Rg

d

2πRg

answer is A.

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Detailed Solution

g'=g−Reω2cos2λ,O=g−Reω2cos2λ,ω=gRecos2λ=gRe14=4gRe T=2πω
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The  rotation of the earth having radius R about its axis speeds up to a value such that a man at latitude angle 60° feels weightlessness. The duration of the day in such a case is: