1. Bob is an engineering student who has designed a bridge made completely out of steel. The bridge is 900 m long at the lowest recorded temperature in the area T=-30 °C. Bob knows that the coefficient of linear expansion for steel is a = 12 x 106 °C1, If the highest recorded temperature in the area is T = 30 °C, how much should Bob expect the bridge to expand? 2. Bob built a scale model of the bridge that is 1.500 m long at the lowest temperature (T = -30 °C) using an unknown material. When the temperature reaches the highest value (T= 30 °C), he measures again the length of the bridge finding that it has expanded AL = 1.08 mm. Calculate the coefficient of linear expansion and find the material Bob used to make his model.

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter16: Temperature And The Kinetic Theory Of Gases
Section: Chapter Questions
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1. Bob is an engineering student who has designed a bridge made completely out of steel.
The bridge is 900 m long at the lowest recorded temperature in the area T=-30 °C. Bob
knows that the coefficient of linear expansion for steel is a = 12 x 106 °C1, If the highest
recorded temperature in the area is T = 30 °C, how much should Bob expect the bridge
to expand?
Bob built a scale model of the bridge that is 1.500 m long at the lowest temperature (T
= -30 °C) using an unknown material. When the temperature reaches the highest value
(T= 30 °C), he measures again the length of the bridge finding that it has expanded AL =
1.08 mm. Calculate the coefficient of linear expansion and find the material Bob used to
2.
make his model.
Transcribed Image Text:1. Bob is an engineering student who has designed a bridge made completely out of steel. The bridge is 900 m long at the lowest recorded temperature in the area T=-30 °C. Bob knows that the coefficient of linear expansion for steel is a = 12 x 106 °C1, If the highest recorded temperature in the area is T = 30 °C, how much should Bob expect the bridge to expand? Bob built a scale model of the bridge that is 1.500 m long at the lowest temperature (T = -30 °C) using an unknown material. When the temperature reaches the highest value (T= 30 °C), he measures again the length of the bridge finding that it has expanded AL = 1.08 mm. Calculate the coefficient of linear expansion and find the material Bob used to 2. make his model.
Expert Solution
Step 1

1)length of bridge at lowest recorded temperature of -30oC = 900 m Coefficient of linear expansion (α) = 12×10-6 oC-1Highest temperature = 30o C

 

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