Chapter 10, Problem 11P

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# The New River Gorge bridge in West Virginia is a 518-m-long steel arch. How much will its length change between temperature extremes of −20.0°C and 35.0°C?

To determine
The change in length.

Explanation

Given Info: Length of steel arch ( L0 ) is 518 m.Â  The temperature changes from T1=âˆ’20.0Î¿C to T2=35.0Î¿C Â  Co-efficient of expansion of steel ( Î± ) is 11Ã—10âˆ’6/Î¿C

Formula to calculate the change in length is,

Î”L=Î±L0Î”T Â Â Â Â Â  (I)

• Î”T is the change in temperature.

The change in temperature is,

Î”T=T2âˆ’T1

Substitute T2âˆ’T1 for Î”T in Equation (I)

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