# spheresProblem.frink

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``` // This solves for the temperature of a rotating sphere in space receiving // energy from the sun. use systemSolver2.frink symbolicMode[true] ball = new System[[Pout === area eSubst sigma Tsphere^4,                             Puniv === area eUniverse sigma Tuniv^4,                             Tuniv === 2.725 K,                             eUniverse === 1,                             collectingArea === pi r^2,                             Pfromsun === (Psun / (4 pi dsun^2)) collectingArea,                             Psun === sunpower,                             Pout === Puniv + Pfromsun,                             1 === eSubst + rSubst + aSubst,                             area === 4 pi r^2],                            ["sigma", "pi", "sunpower", "K"]] println[join["\n",ball.solveAll[true]]] println["\nSolving for silver outside:"] args = [["rSubst", 9/10], ["aSubst", 0], ["dsun", sundist]] results = ball.solveForValues["Tsphere", args, false] println[join["\n",array[results]]] println["\nEvaluated:"] println[join["\n",eval[array[results]]]] println["\nSolving for glass outside:"] args = [["rSubst", .04], ["aSubst", 0.02], ["dsun", sundist]] results = ball.solveForValues["Tsphere", args, false] println[join["\n",array[results]]] println["\nEvaluated:"] println[join["\n",eval[array[results]]]] println["\nSolving for earth:"] args = [["rSubst", .30], ["eSubst", 0.612], ["dsun", sundist]] results = ball.solveForValues["Tsphere", args, false] println[join["\n",array[results]]] println["\nEvaluated:"] println[join["\n",eval[array[results]]]] ```

Download or view spheresProblem.frink in plain text format

This is a program written in the programming language Frink.
For more information, view the Frink Documentation or see More Sample Frink Programs.

Alan Eliasen was born 19582 days, 23 hours, 39 minutes ago.