If the angular velocity of earth's spin is increased such that the bodies at the equator start floating,…

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=10 ms-2, the radius of earth, R=6400×103 m, Take π=3.14)
  1. 60 minutes
  2. does not change
  3. 1200 minutes
  4. 84 minutes

Solution

For objects to float, 

mg=mω2R

ω= angular velocity of the earth.

R= Radius of earth

ω=gR   ...1

Duration of day =T

T=2πω   ...2

T=2πRg

=2π6400×10310

T60=83.775 minutes

84 minutes

Asked in: JEE Main 2021 (18 Mar Shift 2)

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