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Please answer with all steps correctly.
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4. Fins. /10 points/ It is a winter day, with an outdoor temperature of 10 F 12.2 C. The air is fairly still, such that the heat transfer coefficient near your fingers is about 12 WIm -K. Let's say that your pinky has a diameter of 1.3 cm and a length of 6 cm. Assume that your fingers act as fins, with a base temperature of 98.6 F 37 C. Also assume just for this problem-that the blood flow within them is slow, and that your fingers act as fins with a conductivity equal to that of water. Your pinky finger has afinite length, but we can approximate it as having no heat loss at the tip. Estimate the tip temperature of your pinky finger, in the absence of gloves. a) 36 C b) 10 C c) 4.7 C d) 9.6 C e) -11 C

Explanation / Answer

Here, change in temperature = [12 * (3.14 * 0.0065 * 0.0065 * 0.06) * 310]/(1.0846 * 10-4)

                                                = 273 K

                                                = 1 degree celsius

=> tip temperature =   37 - 1

                                 = 36 degree celsius

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