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An earthquake is California measured 4.9 on the Richter scale. Use the formula R=log(A/Ao) to determine approximately how many times stronger the wave amplitude A of the earthquake was than Ao

Respuesta :

we have that the formula for earthquakes is given by

[tex]R=\log (\frac{A}{A_0})[/tex]

In our case R=4.9, hence,

[tex]\log (\frac{A}{A_0})=4.9[/tex]

since we must find the ratio A/Ao:

[tex]\frac{A}{Ao}=e^{4.9}[/tex]

or

[tex]\frac{A}{Ao}=134.29[/tex]

by rounding down, we have

[tex]A=134\cdot A_0[/tex]

this means that, A is aproximately 134 times more stronger than Ao.

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