The Richter Scale (Click here to a MSWord version of this page.)
A scale for comparing the intensities of earthquakes was devised
around 1940, by a man named Charles Richter. The intensity of an earthquake is
measured by the amount of ground motion as measured on a seismometer. The
Richter scale is not designed so that you must know the actual intensities or
seismometer readings. The scale is simply used to compare intensities according
to the following rule:
Each increase of 1 unit in
magnitude on the Richter scale corresponds to a 10-fold increase in intensity as
measured on a seismometer.
This makes it relatively easy to
compare the intensities of earthquakes with a magnitude difference of integer
amounts. For example, the 1976 Italy earthquake was a magnitude of 6.5, while
the Guatemala earthquake of the same year had a magnitude of 7.5, which is
exactly one unit greater. This means the second earthquake was 10 times more
intense than the first.
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1) |
Calculate, using exponents, the intensity difference between a 5.5 magnitude quake and a 7.5. |
| 2) | Calculate, using exponents, the intensity difference between a 5.5 and an 8.5. |
How do we compare the intensities of earthquakes that do not differ by a whole number?
We can do this by using a property of exponents. If we express the intensity I as an exponential function of the magnitude M.
We will use the Alaska and Turkey earthquakes of 1964 and 1966.
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This represents the Alaska earthquake. And this is the Turkey earthquake. We are asked to compare intensities, so the ratio will be useful. =39.81 =approximately 40 times as intense. |
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We can
also use exponents to calculate the energy of an earthquake. The formula for the
energy (in kWh, kiloWatt hours) is:
where E is the energy, and M is
the earthquake magnitude.
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5) |
Calculate the energy of a magnitude 8.7 earthquake. |
| 6) | Calculate the energy of a magnitude 9.0 earthquake. |
| 7) | Using your results from above, can you calculate how many years you would have to run a 100W lightbulb to use the same amount of energy as in the 9.0 quake? |
Now that you understand the Richter scale, let's try to discover what effect the large earthquake will have on Vancouver.
| See solutions to the questions. |
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