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I was doing this question for a homewokr assignment and don't understand how to solve this beacuse the value of S is never given. Please Help.

 

Here's the question if the picture doesn't show:

The Ritcher Scale is a scale created by Charles Ricther to measure the magnitude of earthquakes. The magnitude, M, of any given earthquake is defined by the ritcher scale as:    M = log(I/S)

...where I is the intensity (which is defined as the amplitude of the serismograph reading taken 100km from th eepicenter of the earthquake), and S is considered to be the intensity of a standard earthquake.

 

In the year 1950, the strongest earthquake recorded was in india and had a magnitude of 8.6 on the ricther scale. The tenth strongest recorded earthquake was in the Phillippines and had a magnitude of 7.0 on the Ritcher Scale.

 

How much stronger was the 1950 earthquakes Intensity than the Phillippines earthquakes intensity?

 Dec 15, 2019
edited by Krypticsx  Dec 15, 2019

Best Answer 

 #3
avatar+19820 
0

M1 = 8.6 = log (i1/s)

      10^(8.6) = i1/s

 

M2 = 7.0 = log (i2/s)

        10^7 = I2/s

 

M1/M2 = 10^8.6/10^7 = i1/i2       10^1.6 = i1/i2     39.8 = i1/2      i1 was 39.8 times more intense than i2   (not positive about this)

 

Anyone else have a different answer?

 Dec 15, 2019
 #1
avatar+88 
+2

I don't see anything in the picture....

 Dec 15, 2019
 #2
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0

Go online to this page and enter 8.6 magnitude and 7 magnitude and compare the the two in Intensity, Energy release, Seismic moment.....etc.

 

https://www.wolframalpha.com/input/?i=+8.6+magnitude+Earthquake+Statistics&assumption=%7B%22FS%22%7D+-%3E+%7B%7B%22SeismicMomentMagnitudeToEnergy%22%2C+%22EJ%22%7D%7D&assumption=%7B%22F%22%2C+%22SeismicMomentMagnitudeToEnergy%22%2C+%22Mw%22%7D+-%3E%227%22

 Dec 15, 2019
 #3
avatar+19820 
0
Best Answer

M1 = 8.6 = log (i1/s)

      10^(8.6) = i1/s

 

M2 = 7.0 = log (i2/s)

        10^7 = I2/s

 

M1/M2 = 10^8.6/10^7 = i1/i2       10^1.6 = i1/i2     39.8 = i1/2      i1 was 39.8 times more intense than i2   (not positive about this)

 

Anyone else have a different answer?

ElectricPavlov Dec 15, 2019
 #4
avatar+106539 
+1

Correct, EP!!!

 

I just use this formula

 

d = 10^(8.6 - 7)  = 10^(1.6)  ≈  39.8  times as great

 

However.....your method actually conforms to what was asked   !!!!

 

 

cool cool cool

CPhill  Dec 15, 2019

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