If he earth suddenly contracts by one-fourth of its present radius, by how much would the day be shortened?
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Explanation-
If the radius is reduced by 1/4 times. Moment of Inertia decreases by 1/16 times.
Rotational motion speeds up 16 times to conserve angular momentum.
Earth completes rotation by 24/16 = 1.5 hours.
24 hours reduces by 22.5 hours.
If the day is taken as 12 hours.
Your answer is -
12-1.5 = 10.5 hours.
~Regards,Renuka.
X ICSE student.
If the radius is reduced by 1/4 times. Moment of Inertia decreases by 1/16 times.
Rotational motion speeds up 16 times to conserve angular momentum.
Earth completes rotation by 24/16 = 1.5 hours.
24 hours reduces by 22.5 hours.
If the day is taken as 12 hours.
Your answer is -
12-1.5 = 10.5 hours.
~Regards,Renuka.
X ICSE student.
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