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Solve the Problem R\mathrm { R } Of an Earthquake Is Based on the Features of the }

question 251

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Solve the problem.
-The Richter scale magnitude R\mathrm { R } of an earthquake is based on the features of the associated seismic wave and is measured by R=log(a/T) +B\mathrm { R } = \log ( \mathrm { a } / \mathrm { T } ) + \mathrm { B } , where a is the amplitude in μm\mu \mathrm { m } (micrometers) , T\mathrm { T } is the period in seconds, and B accounts for the weakening of the seismic wave due to the distance from the epicenter. Compute the earthquake magnitude R\mathrm { R } when a=210, T=5\mathrm { a } = 210 , \mathrm {~T} = 5 , and B=3.5\mathrm { B } = 3.5 . (Round to the nearest ten-thousandth.)


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