Density remaining constant if earth contracts to half of its present radius duration of the day would be in minutes

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Density remaining constant if earth contracts to half of its present radius duration of the day would be in minutes

Saiprasad 27th May, 2019

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Ayush Jain 4th Jul, 2019

Using conservation of angular momentum

2/5 mR²w= const.

I(w), wR², 2πfR², R²/T =const.

so, T is directly proportional to square of radius

Now if radius is decreased to half then,

T'= T/4

therefore which is 24/4

which implies that the time period will be 6 hours.

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