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Grade 12thModern Physics

If earth were to shrink suddenly what would happen to the length of the day

Profile image of Mohit saini
8 Years agoGrade 12th
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1 Answer

Profile image of Arun
8 Years ago
Dear Mohit
 
 

FROM CONSERVATION OF ANGULAR MOMENTUM

 

AS NO EXTERNAL TORQUE IS ACTING

 

I W=CONSTANT   WHERE   W=ANGULAR VELOCITY

 

AS EARTH SHRINKS ITS MOMENT OF INNERTIA ABOUT ITS AXIS DECREASES THUS ITS ANGULAR VELOCITY INCRESES AND TIME PERIOD OF ROTATION ABOUT ITS OWN AXIS DECREASE 

 

THEREFOR LENGTH DAYS BECOME SHORTER

 

Regards

Arun (askIITians forum expert)