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physics

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Suppose partial melting of the polar ice caps increases the moment of inertia of the Earth from 0.331MR^2 to 0.332MR^2. What is the change in length of day in seconds?

  • physics - ,

    momentum is conserved

    Io*wo=In*wn

    wn/wo=Io/Inew


    but angular velocity=2PI/period

    then
    Periodorig/periodnwe=Io/In

    period new= periodold*(..331/.332)
    =24hrs*3600sec/hr*(.332/.331)

    change in period
    period new-period old
    change in period=24*3600(.332-.331)/.331

    I get about 260 seconds. check all that.

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