(Solved): Learning Goal: Animals in cold climates often depend on two layers of insulation: a layer of body fa ...
Learning Goal: Animals in cold climates often depend on two layers of insulation: a layer of body fat (of thermal conductivity
0.200(W)/(m*K)) surrounded by a layer of air trapped inside fur or down. We can model a black bear (Ursus americanus) as a sphere 1.50 m in diameter having a layer of fat
4.00\times 10^(-2)mthick, as shown in the figure. (Figure 1) (Actually, the thickness varies with the season, but we are interested in hibernation, when the fat layer is thickest.) In studies of bear hibernation, it was found that the outer surface layer of the fur is at
T_(C)=2.70\deg Cduring hibernation, while the inner surface of the fat layer is at
T_(H)=31.0\deg C. What is the temperature
Tat the fat-inner fur boundary, and how thick should the air layer (contained within the fur) be so that the bear loses heat at a rate of 50.0 W ? Thermal conductivity of air is
k_(air)=2.40\times 10^(-2)
(W)/(m*K)Part E How many inches (
L_(fur)) should the fur layer be to hold a layer of air
L_(air )thick so that adequate insulation is provided? Express your answer numerically in inches. View Available Hint(s) Hint 1. Inches and centimeters Recall that 1 in
=2.54cm. Please answer the last question!
