Chapter 2, Problem 2.47P

Interpretation Introduction

Interpretation:

The length of aluminum alloy bar at room temperature 300 K is 2 meters. This aluminum bar is exposed to temperature 100? having a coefficient of thermal expansion of 23×10-6 K-1. The length of the bar needs to be determined at 100?.

Concept introduction:

The formula for the coefficient of thermal expansion is used which is as follows:

$\alpha =\frac{1}{L}\left(\frac{dL}{dT}\right)$

Here,

a = coefficient of thermal expansion

L = length of bar

dL = change in length

dT= change in temperature