Explanation Given data: Original length of the steel rails ( l ) is 15.000 m. Initial temperature ( T i ) is 10.0 ° C . Final temperature ( T f ) is 35.0 ° C . Formula used: Write the expression for change in length (space between the rails) as follows. Δ l = α l Δ T (1) Here, α is the coefficient of linear expansion for the steel, l is the original length of steel rails, and Δ T is the change in temperature. Write the expression for change in temperature as follows. Δ T = T f − T i (2) Here, T i is the initial temperature, and T f is the final temperature. Calculation of space should be left between the steel rails ( Δ l ) : Refer to the Table 14.3 in the textbook for the coefficients of linear expansion. From the table, the coefficient of linear expansion for the steel is 1.3 × 10 − 5 1 / ° C . α = 1.3 × 10 − 5 1 / ° C From equation (2), substitute ( T f − T i ) for Δ T in equation (1)

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ISBN: 9780132719865

Author: EWEN, Dale

Publisher: PEARSON

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Chapter 14.6, Problem 17P

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Calculate the space should be left between the steel rails if they are to just touch at 35.0°C.

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Chapter 14.6, Problem 16P

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Chapter 14 Solutions

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Ch. 14.1 - Find each temperature as indicated. 1. TF=77F,...Ch. 14.1 - Find each temperature as indicated. 2. TF=113F,...Ch. 14.1 - Find each temperature as indicated. 3. TF=257F,...Ch. 14.1 - Find each temperature as indicated. 4. TC=15C,...Ch. 14.1 - Find each temperature as indicated. 5. TC=145C,...Ch. 14.1 - Find each temperature as indicated. 6. TC=35C,...Ch. 14.1 - Prob. 7P Ch. 14.1 - Prob. 8P Ch. 14.1 - Find each temperature as indicated. 9. TC=95C,...Ch. 14.1 - Prob. 10P

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Calculate the space should be left between the steel rails if they are to just touch at 35.0 ° C .

Solution Summary: The author calculates the space between the steel rails if they are to just touch at 35.0°C.

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Calculate the space should be left between the steel rails if they are to just touch at 35.0°C.

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Chapter 14 Solutions