P and S waves from an earthquake travel at different speeds, and this difference helps locate the earthquake "epicenter" (where the disturbance took place). Part A Assum-ing typical speeds of 8.6 km/s and 5.3 km/s for P and S waves, respectively, how far away did an earthquake occur if a particular seismic station detects the arrival of these two types of waves 1.5 min apart? Express your answer to two significant figures and include the appropriate units. Az = Submit μÅ Value Request Answer Ć Units ?

P and S waves from an earthquake travel at different speeds, and this difference helps locate the earthquake "epicenter" (where the disturbance took place). Part A Assum-ing typical speeds of 8.6 km/s and 5.3 km/s for P and S waves, respectively, how far away did an earthquake occur if a particular seismic station detects the arrival of these two types of waves 1.5 min apart? Express your answer to two significant figures and include the appropriate units. Az = Submit μÅ Value Request Answer Ć Units ?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter16: Waves

Section: Chapter Questions

Problem 43P: (a) Seismographs measure the arrival times of earthquakes with a precision of 0.100 s. To get the...

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(a) Seismographs measure the arrival times of earthquakes with a precision of 0.100 s. To get the distance to the epicenter of the quake, geologists compare the arrival times of S- and P-waves, which travel at different speeds. If S- and P-waves travel at 4.00 and 7.20 km/s, respectively, in the region considered, how precisely can the distance to the source of the earthquake be determined? (b) Seismic waves from underground detonations of nuclear bombs can be used to locate the test site and detect violations of test bans. Discuss whether your answer to (a) implies a serious limit to such detection. (Note also that the uncertainty is greater if there is an uncertainty in the propagation speeds of the S- and P-waves.)
(a) Seismographs measure the arrival times of earthquakes with a precision of 0.100 s. To get the distance to the epicenter of the quake, they compare the arrival times of S- and P-waves, which travel at different speeds. If S- and P-waves travel at 4.00 and 7.20 km/s, respectively, in the region considered, how precisely can the distance to the source of the earthquake be determined? (b) Seismic waves from underground detonations of nuclear bombs can be used to locate the test site and detect violations of test bans. Discuss whether your answer to (a) implies a serious limit to such detection. (Note also that the uncertainty is greater if there is an uncertainty in the propagation speeds of the S- and P-waves.)
Q: Seismographs measure the arrival times ofearthquakes with a precision of 0.100 s. To get the distanceto the epicenter of the quake, geologists compare the arrivaltimes of S- and P-waves, which travel at different speeds. IfS- and P-waves travel at 4.00 and 7.20 km/s, respectively,in the region considered, how precisely can the distance tothe source of the earthquake be determined? Attempted answer: If 'd' is the distance from the geologist monitoring station to the epicenter ('d' is the quantity they want to measure), the first wave (P-wave) arrives in (d km) / (7.20 km/s) = d/7.20 s. Similarly, the second wave (S-wave) arrives in d/4.00 s. Then the measured time difference between the arrival of the 2 wave ('td') is: td = (d/4.00 - d/7.20) s d = 9*(td) Since each arrival time has an uncertainty of 0.100, and td is the difference of the 2 arrival times, td has an uncertainty of 0.200. Since d = 9*(td), 'd' has an uncertainty of 1.8 km. Therefore, the precision in measuring the…
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