The Richter scale is used to measure the magnitude of an earthquake. The magnitude, R, is given by the earthquake. Determine the amount of energy released be an earthquake of magnitude of 7.5. Rewrite the equation for the magnitude of an earthquake, using the magnitude of 7.5 given in the problem.

Question

Mathematics

Alexzander

18 February, 15:25

The Richter scale is used to measure the magnitude of an earthquake. The magnitude, R, is given by the earthquake. Determine the amount of energy released be an earthquake of magnitude of 7.5. Rewrite the equation for the magnitude of an earthquake, using the magnitude of 7.5 given in the problem.

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Answers (1)

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Maurice Erickson · Answer 1

The equation is:

R = 0.65 log (0.39 E) + 1.45

Where "E" is the energy.

Solve that equation for "E".

7.5 = 0.65 log (0.39 E) + 1.45

Subtract 1.45

7.5 - 1.45 = 0.65 log (0.39 E)

6.05 = 0.65 log (0.39 E)

6.05=-0.19 (0.39 E)

6.05 = - 0.07 E

find ln of 6.05

1.8 = - 0.07 E

Then divide both sides by - 0.07

-25.71=E