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Linear Thermal Expansion

Linear Thermal Expansion. Normal Solids. Ex. Glass jar too tight, hot water over lid. L – length T – temp. Length and temp. is directly proportional. Thermal Expansion. Linear expansion – increase in any one dimension of a solid, linear is the expansion occurring along a line.

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Linear Thermal Expansion

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  1. Linear Thermal Expansion

  2. Normal Solids • Ex. Glass jar too tight, hot water over lid. • L – length • T – temp. • Length and temp. is directly proportional.

  3. Thermal Expansion • Linearexpansion – increase in any one dimension of a solid, linear is the expansion occurring along a line. • Change in length is proportional to both (initial) L and change in Temp. • Proportionality constant α(alpha), is called the coefficientoflinearexpansion.

  4. Thermal Expansion • Coefficient of linear expansion ___ has the unit of _____. • Value of the ____ depends on the nature of the material.

  5. Coefficients of Thermal Expansion for Solids and Liquids

  6. Expansion Joint

  7. Usefulness • Anti-scalding device: shuts off the flow of water when it becomes too hot, • Higher temp expands the actuator spring and pushes the plunger forward, shutting off the flow.

  8. Homework Problem 5. If a 42 m steel footbridge experiences extreme temperatures between -12°C and 40°C, what is the range in size of this bridge if it measures exactly 42m at 22°C? (Steel has a coefficient of linear expansion of 1.1x10 -5/°C)

  9. Calculate Length for each set of values • L1=L(1+α∆T1) T1= -12-22=-34 42(1+ 1.1x10 -5(-34))=41.9843 m L2=L(1+ α∆T2) T2=40-22=18 42(1+ 1.1x10 -5 (18))=42.0083 ∆L=L2-L1 42.0083-41.9843=.024024m

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