Question

The intensity of a shock wave from an earthquake is given by the formula R = ㏒₁₀ I/I₀ where R is the magnitude, I is a measure of wave energy, and I₀ = 1. Find the intensity per unit of area for the following earthquakes,

a. Guam region, in 2008, R = 6.7
b. Macquarie Island region, in 2008, R = 2.1

Answer 1

The formula I = ΔP/A can be used to find the intensity per unit of area for earthquakes. For the Guam region in 2008, the intensity per unit of area is 501.19 W/m². For the Macquarie Island region in 2008, the intensity per unit of area is 12.59 W/m².

Step-by-step explanation:

The intensity per unit of area for an earthquake is given by the formula I = ΔP/A, where I is the intensity, ΔP is the power carried by the wave, and A is the area. In this case, we need to find the intensity per unit of area for earthquakes in the Guam region and Macquarie Island region in 2008.

a. For the earthquake in the Guam region, with a magnitude of R = 6.7, we can use the formula I = 10^(R-I₀), where I₀ = 1. Plugging in the values, we get I = 10^(6.7-1) = 501.19 W/m².

b. For the earthquake in the Macquarie Island region, with a magnitude of R = 2.1, we use the same formula. Plugging in the values, we get I = 10^(2.1-1) = 12.59 W/m².