When the temperature of a rod is changed, the length of the rod would change. This is called the linear expansion. The expansion depends on the material, the change in temperature, and the change in length of the rod. Quantitatively, the change in length can be expressed as: AL=aLAT where a is the coefficient of linear expansion, L is the original length of the rod, and AT=Tr-T, is the change in temperature. The coefficient of linear expansion can be measured by measuring the original length of the rod, the changes in length AZ and the change in temperature AT. Write an expression for calculating a in terms of the original length L, the change in length AL, the initial and the final temperature of the rod. a= In this lab, the change in length AL will be measured by the movement of a pointer. AL is proportional to the movement e. AL = e/10. If the uncertainty in measuring e is de, then what is the expression of the relative uncertainty in AL? (Hint: there is no uncertainty in 10.) 8(AL)/(AL) = The temperature difference is AT=Tr-T₁. If the uncertainty in measuring each temperature is ST, write

When the temperature of a rod is changed, the length of the rod would change. This is called the linear expansion. The expansion depends on the material, the change in temperature, and the change in length of the rod. Quantitatively, the change in length can be expressed as: AL=aLAT where a is the coefficient of linear expansion, L is the original length of the rod, and AT=Tr-T, is the change in temperature. The coefficient of linear expansion can be measured by measuring the original length of the rod, the changes in length AZ and the change in temperature AT. Write an expression for calculating a in terms of the original length L, the change in length AL, the initial and the final temperature of the rod. a= In this lab, the change in length AL will be measured by the movement of a pointer. AL is proportional to the movement e. AL = e/10. If the uncertainty in measuring e is de, then what is the expression of the relative uncertainty in AL? (Hint: there is no uncertainty in 10.) 8(AL)/(AL) = The temperature difference is AT=Tr-T₁. If the uncertainty in measuring each temperature is ST, write

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter19: Temperature, Thermal Expansion And Gas Laws

Section: Chapter Questions

Problem 19PQ

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