5. If the lengths of two bars of different solids are inversely proportional to their respective coefficients of linear expansion at the same initial temperature, the difference in length between them will be constant at all temperatures. That means one way to construct a device with two points whose separation remains the same in spite of temperature changes is to bolt together one end of two bars having different coefficients of linear expansion as shown below. What should be the lengths of a steel (a = 11 x 10° / C°) and a brass (a = 19 x 10° / C°) bar at 0°C so that at all temperatures their difference in length is 0.30 m? 1

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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5. If the lengths of two bars of different solids are inversely proportional to their respective
coefficients of linear expansion at the same initial temperature, the difference in length between
them will be constant at all temperatures. That means one way to construct a device with two
points whose separation remains the same in spite of temperature changes is to bolt together
one end of two bars having different coefficients of linear expansion as shown below. What
should be the lengths of a steel (a = 11 x 10° / C°) and a brass (a = 19 x 10° / C°) bar at 0°C so
that at all temperatures their difference in length is 0.30 m?
2
Transcribed Image Text:5. If the lengths of two bars of different solids are inversely proportional to their respective coefficients of linear expansion at the same initial temperature, the difference in length between them will be constant at all temperatures. That means one way to construct a device with two points whose separation remains the same in spite of temperature changes is to bolt together one end of two bars having different coefficients of linear expansion as shown below. What should be the lengths of a steel (a = 11 x 10° / C°) and a brass (a = 19 x 10° / C°) bar at 0°C so that at all temperatures their difference in length is 0.30 m? 2
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