A steel railroad rail expands and contracts according to the formula  Δl = αlΔT,  where Δl is the change in length, α is a constant called the coefficient of linear expansion, l is the original length, and ΔT is the change in temperature. If a 50.0 ft steel rail is installed at 0°F, how many inches will it expand when the temperature rises to 110°F?  (α = 6.5 ✕ 10−6/°F.  Use the rules for working with measurements to give your answer to the appropriate accuracy and/or precision. Use the Metric and U.S. Conversion table to find the conversion factor(s).)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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A steel railroad rail expands and contracts according to the formula 

Δl = αlΔT,

 where Δl is the change in length, α is a constant called the coefficient of linear expansion, l is the original length, and ΔT is the change in temperature. If a 50.0 ft steel rail is installed at 0°F, how many inches will it expand when the temperature rises to 110°F? 

(α = 6.5 ✕ 10−6/°F.

 Use the rules for working with measurements to give your answer to the appropriate accuracy and/or precision. Use the Metric and U.S. Conversion table to find the conversion factor(s).)

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