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So you thought a magnitude 4 earthquake is twice as intense as a magnitude 2?

Think not. It's 900 times more intense.

In other words, the formula for measuring the intensity of an earthquake is not a linear function. It's logarithmic.

R = 0.67 log [0.37E] + 1.46, where R is the Richter Scale magnitude and E the energy released during the earthquake.

Here are some rough calculations comparing earthquakes measuring 1, 2, 3, 4, and 5 on the Richter Scale:

Magnitude 2 is 30 times more intense than magnitude 1 [not twice]

Magnitude 3 is 900 times more intense than magnitude 1 [not 3 times]

Magnitude 4 is 27,000 more intense than magnitude 1 [not 4 times]

Magnitude 5 is 810,000 more intense than magnitude 1 [not 5 times]

..and so on.

See the pattern? You keep multiplying by 30 at each increment.

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Added: Sep-15-2007 
By: Benji1
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Tags: Earth, earthquake, tremor, movement, seismic, seismograph, energy, magnitude, epicenter, Richter, scale, log, logarithm, logarithms, math, mathematics
Marked as: approved
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