Chapter 19551Q19.18The sphere expands when heated, so that it no longer fits through thering. With the sphere still hot, you can separate the sphere and ring byheating the ring. This more surprising result occurs because the thermalexpansion of the ring is not like the inflation of a blood-pressure cuff.Rather, it is like a photographic enlargement; every linear dimension,including the hole diameter, increases by the same factor. The reasonfor this is that the atoms everywhere, including those around the innercircumference, push away from each other. The only way that theatoms can accommodate the greater distances is for thecircumference—and corresponding diameter—to grow. This propertywas once used to fit metal rims to wooden wagon and horse-buggywheels. If the ring is heated and the sphere left at room temperature,the sphere would pass through the ring with more space to spare.FIG. Q19.18SOLUTIONS TO PROBLEMS
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .