4. Radiation and convection play fundamental roles in establishing the distribution of temperature at Earth's surface...

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4. Radiation and convection play fundamental roles in establishing the distribution of temperature at Earth's surface and in its atmosphere, but if they were the only physical processes that mattered, it would be substantially hotter at the equator and substantially colder at the two poles than we observe. That is, there is an imbalance between what is locally absorbed at any given latitude and what is emitted. (More radiation is absorbed at low latitudes than Earth emits, and more radiation is emitted at high latitudes than is absorbed there.) This observation shows us that dynamics- motion from one part of the planet to another-is a fundamental part of the physics too. Let's call the difference between incoming radiation that is absorbed by the Earth system (surface and atmosphere) and outgoing (emitted) radiation at the top of the atmosphere Fnet. It varies with latitude 4, and has a functional form: Fnet =a+b cos where a and b are constants. not radues of the earth The total (lateral) flux of heat across any latitude circle must equal the integrated imbalance from that point to the North Pole (what comes through the wall at, say, 30N must equal what goes out through the top of the atmosphere everywhere north of 30N). Calculate the total meridional flux (as a function of latitude) and then plot the result using any software program of your choice (e.g., Matlab, IDL, etc.). To evaluate the result quantitatively, set values of a = -112.55 W/m and b = 168.95 W/m. In addition to the figures that you generate, please turn in a copy of the code (Python, Matlab, etc.) that you wrote to make them. 4. Radiation and convection play fundamental roles in establishing the distribution of temperature at Earth's surface and in its atmosphere, but if they were the only physical processes that mattered, it would be substantially hotter at the equator and substantially colder at the two poles than we observe. That is, there is an imbalance between what is locally absorbed at any given latitude and what is emitted. (More radiation is absorbed at low latitudes than Earth emits, and more radiation is emitted at high latitudes than is absorbed there.) This observation shows us that dynamics- motion from one part of the planet to another-is a fundamental part of the physics too. Let's call the difference between incoming radiation that is absorbed by the Earth system (surface and atmosphere) and outgoing (emitted) radiation at the top of the atmosphere Fnet. It varies with latitude 4, and has a functional form: Fnet =a+b cos where a and b are constants. not radues of the earth The total (lateral) flux of heat across any latitude circle must equal the integrated imbalance from that point to the North Pole (what comes through the wall at, say, 30N must equal what goes out through the top of the atmosphere everywhere north of 30N). Calculate the total meridional flux (as a function of latitude) and then plot the result using any software program of your choice (e.g., Matlab, IDL, etc.). To evaluate the result quantitatively, set values of a = -112.55 W/m and b = 168.95 W/m. In addition to the figures that you generate, please turn in a copy of the code (Python, Matlab, etc.) that you wrote to make them.