the coefficient of linear expansion of copper is 17 x 10^-6 K^-1. a sheet of copper has a round hole with a radius of 3.0 cm cut out of it. If the sheet is heated and undergoes a change in temperature of 80K, what is the change in the radius of the hole?a)it decreases by 4.1 mmb)it increases by 4.1 mmc)it decreases by 8.2 mmd)it increases by 8.2 mmthink the answer is b) but not sure!
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The radius of the hole will increase, but not by 4.1mm. The coefficient of linear expansion is 17*10^-6 per K as temp increases 80K, the 3cm radius hole will increase by: 3*80*17*10^-6 4.1*10-3cm 0.0041cm 0.041mm. That is better written as 41?m Think about it: a 3cm radius hole cannot have a 3.41cm radius after heating by 80°C or 80K That is a 12.3% expansion, which cannot happen.
