Richter scale's intensities range from 0 to 9. They're measured according to the formula
i= ⅔ log₁₀(E/Eo)
i stands for intensity
E is the earthquake's energy
Eo=7*10⁻³ kWh
How much energy is released in an earthquake of magnitude 8?
i= ⅔ log₁₀(E/Eo)
i stands for intensity
E is the earthquake's energy
Eo=7*10⁻³ kWh
How much energy is released in an earthquake of magnitude 8?
-
i = ⅔ log₁₀(E/Eo)
Eo = 7*10⁻³ kWh
i = 8
so: 8 = ⅔ log₁₀(E/7*10⁻³)
Now, solve for E
12 = log₁₀(E/7*10⁻³)
You undo log base ten by taking 10 to the power of both sides:
10^12 = 10^[log₁₀(E/7*10⁻³)]
10^12 = E/7*10⁻³
E = (10^12)(7*10⁻³)
E = 7,000,000,000 kWh
Eo = 7*10⁻³ kWh
i = 8
so: 8 = ⅔ log₁₀(E/7*10⁻³)
Now, solve for E
12 = log₁₀(E/7*10⁻³)
You undo log base ten by taking 10 to the power of both sides:
10^12 = 10^[log₁₀(E/7*10⁻³)]
10^12 = E/7*10⁻³
E = (10^12)(7*10⁻³)
E = 7,000,000,000 kWh
-
Given that,
8=2/3*log(E/7*10^-3)
=> 12 = log E - log (7*10^-3)
=> 12 = log E - (-2.1549)
=> log E = 9.8451
So, E= 10^9.8451 = 7000031591.3089
8=2/3*log(E/7*10^-3)
=> 12 = log E - log (7*10^-3)
=> 12 = log E - (-2.1549)
=> log E = 9.8451
So, E= 10^9.8451 = 7000031591.3089