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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)
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
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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
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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