The amplitude of the waves is related to the magnitude of the earthquake. Stronger earthquakes shake the ground more (obviously) and make higher amplitude signals on the instrument. B. Estimate the magnitude, M., of the earthquake using the following equation: (0.6xfxAxD³/3) Where A is the amplitude you already measured (in units of microns), fis the frequency, and D is the distance between the earthquake and receiver (see plot), in km. Please show your work. Magnitude, Ms. [3]
The amplitude of the waves is related to the magnitude of the earthquake. Stronger earthquakes shake the ground more (obviously) and make higher amplitude signals on the instrument. B. Estimate the magnitude, M., of the earthquake using the following equation: (0.6xfxAxD³/3) Where A is the amplitude you already measured (in units of microns), fis the frequency, and D is the distance between the earthquake and receiver (see plot), in km. Please show your work. Magnitude, Ms. [3]
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
Problem 1LR
Related questions
Question
![The amplitude of the waves is related to the magnitude of the earthquake. Stronger earthquakes shake the
ground more (obviously) and make higher amplitude signals on the instrument.
B. Estimate the magnitude, M., of the earthquake using the following equation:
(0.6xfxAxD5/3)
Where A is the amplitude you already measured (in units of microns), fis the frequency, and D is the distance
between the earthquake and receiver (see plot), in km. Please show your work.
Magnitude, M, [3]
Show Transcribed Text
Amplitude (nieros
-600
Amplitude
800
600
400
200-
-200-
500
500
لسب
-800
1000
1050
1100
1150
1200
1000
1500
Vertical channel Taipei, Taiwan
Distance to earthquake: 4650 km
Time from earthquake (s)
1250
2000
1300
1350
1400
1450
2500
Time from earthquake (s)
C. Magnitude is measured on a logarithmic scale. To illustrate how this works, repeat the calculation you
did above, but now pretend the amplitude you measured was actually 10x larger. What would the new
magnitude be?
Magnitude for 10x larger waves, M,
What would the amplitude have been if the earthquake had been 1.0 magnitude units weaker than the
true amplitude?
Wave amplitude for 1.0 unit weaker earthquake:
microns [2]
D. If this station cannot detect amplitudes smaller than 3 microns, what is the smallest magnitude
earthquake it is capable of detecting at a distance of 4650 km? (Assume the frequency doesn't change.)
Smallest magnitude detectable at this distance:
[3]
[2]
3000
Show Transcribed Text](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a5ce91d-1cd0-4277-be15-5ac560a4a50a%2Ff77e347a-3c2f-4350-9af6-c3740486f2de%2F9tntr2s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The amplitude of the waves is related to the magnitude of the earthquake. Stronger earthquakes shake the
ground more (obviously) and make higher amplitude signals on the instrument.
B. Estimate the magnitude, M., of the earthquake using the following equation:
(0.6xfxAxD5/3)
Where A is the amplitude you already measured (in units of microns), fis the frequency, and D is the distance
between the earthquake and receiver (see plot), in km. Please show your work.
Magnitude, M, [3]
Show Transcribed Text
Amplitude (nieros
-600
Amplitude
800
600
400
200-
-200-
500
500
لسب
-800
1000
1050
1100
1150
1200
1000
1500
Vertical channel Taipei, Taiwan
Distance to earthquake: 4650 km
Time from earthquake (s)
1250
2000
1300
1350
1400
1450
2500
Time from earthquake (s)
C. Magnitude is measured on a logarithmic scale. To illustrate how this works, repeat the calculation you
did above, but now pretend the amplitude you measured was actually 10x larger. What would the new
magnitude be?
Magnitude for 10x larger waves, M,
What would the amplitude have been if the earthquake had been 1.0 magnitude units weaker than the
true amplitude?
Wave amplitude for 1.0 unit weaker earthquake:
microns [2]
D. If this station cannot detect amplitudes smaller than 3 microns, what is the smallest magnitude
earthquake it is capable of detecting at a distance of 4650 km? (Assume the frequency doesn't change.)
Smallest magnitude detectable at this distance:
[3]
[2]
3000
Show Transcribed Text
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