Assume that under certain conditions the heat loss of an object is proportional

Question

Assume that under certain conditions the heat loss of an object is proportional to the exposed surface area. Relate the heat loss of a cubic object with side length 6 in. to one with a side length of 12 in. Now, consider two irregularly shaped objects, such as two submarines. Relate the heat loss of a 70-ft submarine to that of a 7-ft scale model. Suppose you are interested in the amount of energy needed to maintain a con-stant internal temperature in the submarine. Relate the energy needed in the actual submarine to that required by the scaled model. Specify the assumptions you have made.

Explanation / Answer

Heat loss in cube of side=6 is (1/4) of the heat loss in cube of side =12 The heat loss is in the ratio of 100:1 (70 ft to 7 feet) Energy required will be in the ratio of 1:100 Assumptions made: Heat Loss Directly propotional to exposed surface Area

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