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Karnataka Board PUCPUC Science Class 11

When Tall Building Are Constructed on Earth, the Duration of Day-night Slightly Increases. is It True? - Physics

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Question

When tall building are constructed on earth, the duration of day-night slightly increases. Is it true?

Short Note

Solution

Yes, because tall buildings have their CM much above the ground. It increases moment of inertia of the Earth. As the Earth’s rotation does not involve torque, its angular momentum is constant. Thus, an increase in MI leads to lower angular velocity of the Earth about its axis of rotation. This means length of night and day will increase. However, the increase is very small.

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Centre of Mass of a Rigid Body
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Chapter 10: Rotational Mechanics - Short Answers [Page 192]

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HC Verma Concepts of Physics Vol. 1 [English] Class 11 and 12
Chapter 10 Rotational Mechanics
Short Answers | Q 19 | Page 192

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