It is said that if there will be no atmosphere on Earth then the duration of the day will decrease by 4 minutes. OK, I understood that it will decrease but how to get that value (4), how to get its solution by a mathematical method?
This question can be solved by thinking in a very analytical way..
There can be two solution to this problem,the one iam giving is very accurate and the other is not logicaly correct which i can also prove as that solution have some logical flaw...
As the atmosphere rotates with the earth,if earth dont have atmosphere than moment of inertia decreases hence,omega (angular velocity) increases as angular momentum is constant....L = I W;when angular velocity incraeses than Time decrease as T = 2 * pi / w;
It can also be understand by the fact that the air friction ,decreases the angular velocity hence TIME increases (by obove relation) and vice versa
obove concept is wrong because atmosphere always moves with the earth,so thr is no friction between themm(air friction)...if thr is air friction than we all will burn due to it(but it doesnt hapens)
i dont think so thr is ne mathematical relation for it,as all these are calculated by taking an assumptions..
let me know ,if u need more clearification for this
But, my main question is that - Is there any calculation from where this value 4 minutes came from?