The problem describes how the Richter scale magnitude, $R$, of an earthquake is determined. The formula is given by $R = \log(\frac{a}{T}) + B$, where $a$ is the amplitude of the vertical ground motion (in micrometers), $T$ is the length of time a seismic wave lasts, and $B$ is a factor that accounts for the weakening of the seismic waves.
2025/4/23
1. Problem Description
The problem describes how the Richter scale magnitude, , of an earthquake is determined. The formula is given by , where is the amplitude of the vertical ground motion (in micrometers), is the length of time a seismic wave lasts, and is a factor that accounts for the weakening of the seismic waves.
2. Solution Steps
The given formula is:
The problem only asks us to restate the formula and explain the variables. There are no computations to perform.
3. Final Answer
The Richter scale magnitude is calculated using the formula , where is the amplitude of the vertical ground motion, is the length of time the seismic wave lasts, and is a factor that accounts for the weakening of seismic waves.