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Physics / Physics: Principles with Applications 6 / Chapter 13 / Problem 8P

Physics: Principles with Applications | 6th Edition | ISBN: 9780321569837 | Authors: Douglas C. Giancoli

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(I) Super Invar™, an alloy of iron and nickel, is a strong material with a very low

Chapter 13, Problem 8P

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QUESTION:

Problem 8P

(I) Super Invar™, an alloy of iron and nickel, is a strong material with a very low coefficient of thermal expansion (0.20 X 10-6/C°). A 1.8-m-long tabletop made of this alloy is used for sensitive laser measurements where extremely high tolerances are required. How much will this alloy table expand along its length if the temperature increases 6.0 C°? Compare to tabletops made of steel.

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QUESTION:

Problem 8P

(I) Super Invar™, an alloy of iron and nickel, is a strong material with a very low coefficient of thermal expansion (0.20 X 10-6/C°). A 1.8-m-long tabletop made of this alloy is used for sensitive laser measurements where extremely high tolerances are required. How much will this alloy table expand along its length if the temperature increases 6.0 C°? Compare to tabletops made of steel.

ANSWER:

Solution 8P

Step 1 of 4:

Super Invar is an alloy has a very low thermal expansion coefficient. We are going to find the expansion of a table top made of Invar and compare the value with the same size table top made up of steel.

The original length of the table top Lo = 1.8 m

The coefficient of expansion of Invar ɑi = 0.2 x 10-6 /°C

The coefficient of expansion of steel ɑs = 12 x 10-6 /°C

The change in the temperature ΔT = 6.0 C°

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