You left a rectangular piece of steel on the ground when the temperature was 78.0°F. Later you returned when the temperature was 105.0°.The dimensions are 30 m ✕ 40 m. Calculate the change in the area of the metal. Take ? for steel to be 1.2  10-5/K.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter19: Temperature, Thermal Expansion And Gas Laws
Section: Chapter Questions
Problem 59PQ
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You left a rectangular piece of steel on the ground when the temperature was 78.0°F. Later you returned when the temperature was 105.0°.The dimensions are 30 m ✕ 40 m. Calculate the change in the area of the metal. Take ? for steel to be 1.2  10-5/K.

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given that initial temperature; T1=780FT1=298.70Kfinal temperature; T2=1050FT2=313.70Kinitial area ; Ai=30×40=1200 m2 coefficient of linear thermal expansion, α =1.2 ×10-5 /Kcoefficient of superficial thermal expansion, β=2αβ=2× 1.2 ×10-5/Kβ=2.4×10-5/K

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