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1. For an earthquake that measures 7.0 on the Richter scale what is the amplitude of the energy waves?

1. For an earthquake that measures 7.0 on the Richter scale what is the amplitude of the energy waves?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
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Question 1.)
In practical applications the Richter magnitude depends on local geological factors and the average distance of seismographs from the epicenter of the earthquake. For our region a reasonable model is: R(A) = log() + 4.25, where A is the amplitude of the energy waves measured in micrometers. 1. For an earthquake that measures 7.0 on the Richter scale what is the amplitude of the energy waves? 2. For an earthquake that measures 6.0 on the Richter scale what is the amplitude of the energy waves? 3. Using your answers to parts 1 and 2 above, how many times bigger is the magnitude of a 7.0 earthquake compared to a 6.0 earthquake? 4. The last major earthquake in the Bay Area was in 1989 and measured 6.9 on the Richter scale whereas the 2011 earthquake off the Japanese coast measured 9.1. How many times bigger were the energy waves from the Japanese quake compared to the Bay Area quake? (Assume you can use the same Richter magnitude equation for both regions).
Transcribed Image Text:In practical applications the Richter magnitude depends on local geological factors and the average distance of seismographs from the epicenter of the earthquake. For our region a reasonable model is: R(A) = log() + 4.25, where A is the amplitude of the energy waves measured in micrometers. 1. For an earthquake that measures 7.0 on the Richter scale what is the amplitude of the energy waves? 2. For an earthquake that measures 6.0 on the Richter scale what is the amplitude of the energy waves? 3. Using your answers to parts 1 and 2 above, how many times bigger is the magnitude of a 7.0 earthquake compared to a 6.0 earthquake? 4. The last major earthquake in the Bay Area was in 1989 and measured 6.9 on the Richter scale whereas the 2011 earthquake off the Japanese coast measured 9.1. How many times bigger were the energy waves from the Japanese quake compared to the Bay Area quake? (Assume you can use the same Richter magnitude equation for both regions).
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