How Much Will Day Length Increase If Polar Ice Melts 10m?

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The discussion revolves around calculating the increase in day length if polar ice melts and raises sea levels by 10 meters. Participants consider the implications of Earth's moment of inertia and the uniform distribution of water over the planet's surface. There is a focus on using appropriate physics concepts, such as conservation of energy and linear momentum, rather than angular momentum, which has not yet been covered in their studies. The challenge lies in applying the correct principles to arrive at a solution within the context of their current curriculum. Understanding these dynamics is crucial for accurately determining the impact of ice melt on Earth's rotation.
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Homework Statement



If the melting of the polar ice caps were to raise the water level on the Earth by 10
m, by how much would the day be lengthened? Assume that the moment of inertia of
the ice in the polar ice caps is negligible (they are very near the axis), and assume that
the extra water spreads out uniformly over the entire surface of the Earth (that is
neglect the area of the continents compared with the area of oceans). Assume that the
earth is a sphere with uniform density

Homework Equations



Isphere = (2MR^2 ) / 5

The Attempt at a Solution


I think i found the correct answer by assuming Earth's radius 6400000 m and using angular momentum.
However we are not allowed to use angular momentum since so far we have not mentioned chapter of rotational dynamics.
 
Last edited:
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Conservation of energy?
Conservation of linear momentum?

What can you use? eg. what is the context in terms of the subjects most recently taught?
 
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