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General Physics

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 Joined: 1 Feb 2012 Post: 3
6 Apr 2012 11:09:47 IST
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when tall buildings are constructed on earth it's duration of day-night increases.why?
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when tall buildings are constructed on earth it's duration of day-night increases.why?

Scorching goIITian

Joined: 10 Feb 2012
Posts: 262
6 Apr 2012 13:01:48 IST
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The moment of intertia of earth changes by a very minute(Here the moment of inertia increases) amount . But there isnt' any external torque hence according to conservation of angular momentum

I1w1=I2w2
since
I1<I2
hence
w1>w2
I denotes moment of inertia and w denotes angular velocity
as w(omega or angular velocity of the earth) is inversely proportional to time period(Here time taken for rotation of the earth). The time should increase (using the above result)
Please click like if you do understood

Scorching goIITian

Joined: 24 Aug 2011
Posts: 256
6 Apr 2012 13:37:23 IST
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well the duration of day and night increases bcuz angular momentum is conserved during the rotation...thus Iw=I'W'..WHEN TALL BUILDINGS ARE CONSTRUCTED THE MOMENT OF INTERIA INCREASE SO FOR BALANCING THE ABOVE EQUATION THE ANGULAR VELOCITY MUST DECREASE.. AND IN THIS WAY THE DURATION OF DAY AND NIGHT INCREASES

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