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phys: give reason why you divide by 4

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eggy 2021-03-30 17:07:17 -04:00
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@ -472,8 +472,8 @@ $$I=\frac{P}{4\pi d^2}$$
**Albedo** ($\alpha$) is the ratio of power from incident rays reflected or scattered to the power absorbed by a body, ranging from 0 to 1. A black body has albedo 0. On average, Earth's albedo is equal to $0.3$ due primarily to the atmosphere but also clouds and ice. **Albedo** ($\alpha$) is the ratio of power from incident rays reflected or scattered to the power absorbed by a body, ranging from 0 to 1. A black body has albedo 0. On average, Earth's albedo is equal to $0.3$ due primarily to the atmosphere but also clouds and ice.
$$\alpha=\frac{\text{energy scattered/reflected}}{\text{energy absorbed}}$$ $$\alpha=\frac{\text{energy scattered/reflected}}{\text{energy absorbed}}$$
As Earth is not a flat disk pointed at the sun, in reality the sun's intensity is reduced arbitrarily to a quarter. Therefore, the power absorbed/incident to the Earth is equal to, where $S$ is the solar constant: As Earth is not a flat disk pointed at the sun, in reality the sun's intensity is reduced to a quarter due to the formula for a sphere. Therefore, the power absorbed/incident to the Earth is equal to, where $S$ is the solar constant:
$$P_\text{in}=(1-\alpha)\frac{1}{4}SA$$ $$P_\text{in}=(1-\alpha)\frac{S}{4}A$$
Greenhouse gases are responsible for remaining increases in temperature. Greenhouse gases are responsible for remaining increases in temperature.