problem 2: after the quake
Problem 2: After the Quake On the afternoon of August 23, the eastcoast of the United States experienced an earthquake centered near Mineral, Virginia. Unlike earthquakes in California, this quake was felt from hundreds of mikess away. To deterinine the magnitude of an earthquake, the USGS averages the maguitude calculated from seismo- graphs surrounding the earthquake. Readings from some of these seismographs are recorded in the table below Data from the Earthquake Station ngles Distance Amp Period Magn- latitudinal actual distancedis- (miles) tance in grees)centeric micro- (de- in geo- itude (sec) itude *(miles) TIT-T,-- degrees meter) T 0.956.3 Soldier's MD Delight, t-101 N 150 Blacksburg, VA 51 S 145 Mont Chateau, 0.98 6.3 0.88 6.1 200 2.1 130 71 260 50 37 2.3 130 17 225 85 From epicenter Cartesian angle fron epicenter with y-axis pointed north-south. Angles are counter- 157 Basking Ridge, 189 N 261 N.J 3.8 0.7 Kings Mountain, 193 S SC 3.9 6.1 Plevna, Outario 490 N 492 0.86 clockwise with 0 at east. Earthquakes send out seismic surface waves measured by a seisnogram. The seismogram translates the waves into a chart, graphing the movement of the earth at that location over time. Researchers can then of the earthquake using the following functions: mbLg-3.75 +0.90log(D) + log(A/T)for0.5(degrees)S D 34.0(degrees) mbLg = 3.30 + 1.Gelog(D) + log( A/T)for4.0(degrees) D 30(degrees) where mbl.G is magnitude of the surface wave, D is the distance in geocentric degrees, measure the amplitude and period of the waves, and use those values to calculate the magnitude A is the amplitude. and T is the period. (a) Using the foruulas above, ill in the missing magnitudes in the table (b) Using trigonometry, fill in the missing distances from the table Earthquakes do not necessarily travel in an exact circle. Does it appear that the earthquake was stronger in any particular direction? Explain your reasoning. From the data in the table, is there any other geological aspect that may have decreased the magnitude of the waves in a given area