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Math in the News: Issue 54
 

Math in the News: Issue 54

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In this issue of Math in the News we look at the recent earthquake near Indonesia and compare it to the devastating earthquake of 2004.

In this issue of Math in the News we look at the recent earthquake near Indonesia and compare it to the devastating earthquake of 2004.

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    Math in the News: Issue 54 Math in the News: Issue 54 Presentation Transcript

    • See the following news clip of the earthquake.http://cnn.com/video/?/video/world/2012/
    • The Indonesian EarthquakeThis map shows the location of the earthquake, which is near Indonesia.(Source for all map graphics: http://www.usgs.gov.)
    • The Indonesian EarthquakeThis map shows the location of the epicenter relative to population density.
    • The Indonesian EarthquakeThis map shows the epicenter of the 2004 earthquake.
    • The Indonesian EarthquakeA side-by-side comparison of the two epicenters shows that the 2004earthquake was closer to land. Because it was a much stronger earthquake,its proximity also meant the potential for more damage. Note that bothearthquakes occurred under water, which is what causes tsunamis.
    • Comparison of Two Indonesian Earthquakes 10 9 8 7 6 Magnitude 5 4 3 2 1 0 2012 2004The Indonesian EarthquakeThis graph compares the magnitude of the two earthquakes. The closenumerical values of the two magnitudes (8.6 vs. 9.1) suggests comparablystrong earthquakes. But magnitude uses a logarithmic scale.
    • Comparison of Two Indonesian Earthquakes 1.40E+09 1.20E+09 1.00E+09 8.00E+08 Intensity 6.00E+08 4.00E+08 2.00E+08 0.00E+00 2012 2004The Indonesian EarthquakeThis graph compares the intensity of each of earthquake. Here you cansee the dramatic difference in intensity.
    • The Indonesian EarthquakeThe intensity of an earthquake is proportional to an exponential expressionof base 10 whose exponent is the size of the earthquake magnitude. Forsimplicity, let’s assume this proportion is an equation.
    • The Indonesian EarthquakeWe can express the intensity of each earthquake using these expressions.
    • The Indonesian EarthquakeTo see how much more intense the 2004 earthquake was calculate theratio of the two terms. You can see that the 2004 earthquake was threetimes more intense.