A spherical capsule of 3-m radius is fired from a space
Chapter , Problem 12.138(choose chapter or problem)
A spherical capsule of 3-m radius is fired from a space platform in earth orbit, such that it travels toward the center of the sun at 16,000 km/s. Assume that the capsule is a lumped capacitance body with a densityspecific heat product of 4 106 J/m3 K and that its surface is black. (a) Derive a differential equation for predicting the capsule temperature as a function of time. Solve this equation to obtain the temperature as a function of time in terms of capsule parameters and its initial temperature Ti (b) If the capsule begins its journey at 20 C, predict the position of the capsule relative to the sun at which its destruction temperature, 150 C, is reached.
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