ΔΔω=′−=′−=−′11TTTT.We can approximate that last denominator as Tso that we end up with the simple relationshipωω=TT. Now, conservation of angular momentum gives us LIII==≈+0bgbgbgso 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 ()226230m26.37 10 meeeeRRTIRRΔΔ≈=×so with T= 86400s we find (approximately) that ΔT= 0.8 s. The radius of the earth can be found in Appendix C or on the inside front cover of the textbook.
This is the end of the preview. Sign up
access the rest of the document.
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.