1. The problem statement, all variables and given/known data 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 2. Relevant equations Isphere = (2MR^2 ) / 5 3. 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.