Question

The Richter scale is used for measuring the magnitude of an earthquake. The Richter magnitude is given R = 0.67log(0.37E) + 1.46 where E is the energy (in kilowatt hours) released by the earthquake. If an earthquake release 1,770,000 kilowatt hours of energy, what is the earthquake's magnitude?

Answer 1

R=3.897

Explanation:

Given the magnitude measured by the Ritcher scale is given as;

R = 0.67log(0.37E) + 1.46 where E= is the energy (in kilowatt hours)

If E=1,770,000 then

R= 0.67log(0.37*1770000)

R=0.67log(654900)

R=0.67*5.81617

R=3.897