Questions
If earth were to rotate on its own axis such that the weight of a person at the equator becomes half the weight at the poles, then its time period of rotation is (g=acceleration due to gravity near the poles and R is the radius of earth)
detailed solution
Correct option is A
gϕ=g−Rω2cos2ϕ ⇒ge=gP2 ⇒g−Rω2cos20=g−Rω2cos2902 ⇒g−Rω2=g2 ⇒g−g2=Rω2 ⇒g2=Rω2 ⇒g2R=ω ⇒g2R=2πT ⇒T=2π2RgTalk to our academic expert!
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The acceleration due to gravity at pole and equator can be related as
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