20. Heat and Temperature

Linear Thermal Expansion

Physics - Thermodynamics: Temperature (2 of 4) Thermal Linear Expansion: Example 1

<p>On a very cold day at a temperature of –12°C, a power line made of aluminum between two support towers measures exactly 150.56m. You go out on a hot day and measure the power line to be exactly 150.71m. What is the temperature (in °C) outside? The linear expansion coefficient of aluminum is 2.4×10<sup>-5</sup>.</p>

Physics - Thermodynamics: Temperature (4 of 4) Thermal Linear Expansion: Example 3

Linear Thermal Expansion Calculation

12.4 Linear Thermal Expansion

Expanding Steel Measuring Tape

One of the tallest buildings in the world is the Taipei 101 in Taiwan, at a height of 1671 feet. Assume that this height was measured on a cool spring day when the temperature was 15.5°C. You could use the building as a sort of giant thermometer on a hot summer day by carefully measuring its height. Suppose you do this and discover that the Taipei 101 is 0.471 foot taller than its official height. What is the temperature, assuming that the building is in thermal equilibrium with the air and that its entire frame is made of steel?

Steel train rails are laid in 12.0-m-long segments placed end to end. The rails are laid on a winter day when their temperature is -9.0°C. (a) How much space must be left between adjacent rails if they are just to touch on a summer day when their temperature is 33.0°C?

Physics - Thermodynamics: Temperature (1 of 4) Thermal Linear Expansion: Definition

As a new mechanical engineer for Engines Inc., you have been assigned to design brass pistons to slide inside steel cylinders. The engines in which these pistons will be used will operate between 20.0°C and 150.0°C. Assume that the coefficients of expansion are constant over this temperature range. (a) If the piston just fits inside the chamber at 20.0°C, will the engines be able to run at higher temperatures? Explain


An aluminum rod is exactly <math display="inline"><mrow><mn>80.00</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">cm</mi></mrow></math> long on a day when the temperature was <math display="inline"><mrow><mn>24.00</mn><mo>&#x00B0;</mo><mi mathvariant="normal" class="MathML-Unit">C</mi></mrow></math>. How long is the rod on a day when it is only <math display="inline"><mrow><mn>2.000</mn><mo>&#x00B0;</mo><mi mathvariant="normal" class="MathML-Unit">C</mi></mrow></math>? Use <math display="inline"><mrow><mn>2.3</mn><mo>&#x00D7;</mo><msup><mn>10</mn><mrow><mo>&#x2212;</mo><mn>5</mn></mrow></msup><mo>&#x00B0;</mo><msup><mi mathvariant="normal" class="MathML-Unit">C</mi><mrow><mo>&#x2212;</mo><mn>1</mn></mrow></msup></mrow></math> for the coefficient of linear expansion for aluminum.


Thermal Linear Expansion

Thermal Expansion Equations

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