i will like to know how to they get the 1.001 L for thedifference between the tw

Question

i will like to know how to they get the 1.001 L for thedifference between the two rods. here is the original problem. So in that case how can i getthe difference As the drawing shows, two thin strips of metal are boltedtogether at one end and have the same temperature. One is steel,and the other is aluminum. The steel strip is 0.12% longer than thealuminum strip. By how much should the temperature of the strips beincreased, so that the strips have the same length? i will like to know how to they get the 1.001 L for thedifference between the two rods. here is the original problem. So in that case how can i getthe difference As the drawing shows, two thin strips of metal are boltedtogether at one end and have the same temperature. One is steel,and the other is aluminum. The steel strip is 0.12% longer than thealuminum strip. By how much should the temperature of the strips beincreased, so that the strips have the same length?

Explanation / Answer

Strictly speaking it should be : L + 0.12% of L ie. [1 + 0.12/100]*L = 1.0012*L = L' Let the linear coefficients of thermal expansion be and ' for steel and aluminium respectively. So, Lsteel = 1.0012*L*[1+t] And, Laluminium = 1*L*[1+'t] For both to be equal, 0.0012 = t('-1.0012) => t = 0.0012/(' - 1.0012) oC Now, ˜ 12*10-6 (depends oncomposition of steel)           ' = 23*10-6 So, t = 109.234oC

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