A steel rod 30.0 m long, installed when the temperature was 10°C, is in a bridge that heats up to 40oC on a hot summer day. Steel's coefficient of linear expansion is 1.2 × 10-5 K-1. The bridge is built so the rod has an expansion space of 5 cm. Is this enough space? What is the increase in the length of the rod, in mm?

Principles of Physics: A Calculus-Based Text
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Chapter16: Temperature And The Kinetic Theory Of Gases
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A steel rod 30.0 m long, installed when the temperature was 10°C, is in a bridge that heats up
to 40oC on a hot summer day. Steel's coefficient of linear expansion is 1.2 × 10-5 K-1. The
bridge is built so the rod has an expansion space of 5 cm. Is this enough space? What is the
increase in the length of the rod, in mm?

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