ch11-p083 - 83. If the polar cap melts, the resulting body...

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ΔΔ ω = −= −=− 11 T T T T . We can approximate that last denominator as T so that we end up with the simple relationship ωω = TT . Now, conservation of angular momentum gives us LI I I == + 0 b g b g b g so that = II . Thus, using our expectation that rotational inertia is proportional to the equatorial radius squared (supported by Table 10-2(f) for a perfect uniform sphere, but then this isn’t a perfect uniform sphere) we have () 2 26 230m 2 6.37 10 m e e ee R R TI R R Δ Δ = × so with T = 86400s we find (approximately) that Δ T = 0.8 s. The radius of the earth can be found in Appendix C or on the inside front cover of the textbook.
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This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.

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