Find the magnitude of the given earthquake. (Round your answer to one decimal place.) An earthquake was measured by three seismographs. The closest, 60 kilometers from the epicenter, recorded a maximum amplitude of 23 ?m. A second seismograph 220 kilometers from the epicenter recorded a maximum amplitude of 4 ?m. The third seismograph, 340 kilometers from the epicenter, recorded a maximum amplitude of 0.92 ?m. (The logarithm of the amplitude of the standard earthquake at a distance of 60 kilometers is −2.8, 220 kilometers is −3.6, and 340 kilometers is −4.2.)

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Find the magnitude of the given earthquake. (Round your answer to one decimal place.)

An earthquake was measured by three seismographs. The closest, 60 kilometers from the epicenter, recorded a maximum amplitude of 23 ?m. A second seismograph 220 kilometers from the epicenter recorded a maximum amplitude of 4 ?m. The third seismograph, 340 kilometers from the epicenter, recorded a maximum amplitude of 0.92 ?m. (The logarithm of the amplitude of the standard earthquake at a distance of 60 kilometers is −2.8, 220 kilometers is −3.6, and 340 kilometers is −4.2.)
A1
Formulas: M = log A – log Ao
M1 – M2 = log ()
log E - 11.8 + 1.45M
A2
Richter's Standard Earthquake
distance (km)
log of amplitude -1.7 -2.8 -3.0 -3.2 -3.4 -3.6 -3.8 -4.0 -4.2
20
60
100 140
180 220 260 300 340
D = 10 log
Io
Io = 10-16 watts/cm?
10 log
I2
ст
D1 – D2
Transcribed Image Text:A1 Formulas: M = log A – log Ao M1 – M2 = log () log E - 11.8 + 1.45M A2 Richter's Standard Earthquake distance (km) log of amplitude -1.7 -2.8 -3.0 -3.2 -3.4 -3.6 -3.8 -4.0 -4.2 20 60 100 140 180 220 260 300 340 D = 10 log Io Io = 10-16 watts/cm? 10 log I2 ст D1 – D2
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