Asked by tangocharliee | 9th Dec, 2009, 10:56: PM

Expert Answer:

We assume that earth of mass remains the same and radius decreases to half it's value, since no external torque is acting, angular momentum is conserved,

I1w1 = I2w2

I1 = (2/5)MR2 , w1 = 2π/T1 = 2π/24, I1 = (2/5)M(R/2), w2 = 2π/T2  

Substituting these,

T2 = 24/4 = 6 hrs.

The duration of the day will be 6 hrs.




Answered by  | 10th Dec, 2009, 12:54: PM

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