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Questions  

If the angular velocity of earth’s spin is increased such that the bodies at the equator start floating, the duration of the day would be approximately:
[ Take g=10ms2, the radius of earth,R=6400×103m,  Take π=3.14] 
 

a
60 minutes
b
84 minutes
c
does not change
d
1200 minutes

detailed solution

Correct option is B

Floating means weightlessness g1=g−Rω2cos2θ  (θ=00  at equator) Given : g1=0 ⇒g=Rω2 ⇒ω=gR ⇒T=2πRg=23.14640000010=5024 s=84 min

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The angular speed of earth, so that the object on equator may appear weightless, is (g=10m/s2, radius of earth 6400 km)


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