Materials Science and Engineering: An Introduction

Published by Wiley
ISBN 10: 1118324579
ISBN 13: 978-1-11832-457-8

Chapter 4 - Imperfections in Solids - Questions and Problems - Page 138: 4.47b

Answer

$N_{1} = 320,000\ grains/inch^{2}$

Work Step by Step

Given: ASTM grain size (n)= 6 Required: grains per square inch without any magnification Solution: Using Equation 4.18, we find: $N_{M}(\frac{M}{100})^{2} = 2^{n-1}$, $N_{M}$ is the number of grains at magnification M; note, n is the ASTM grain size. Since there is not any magnification, M = 1: $N_{1}(\frac{1}{100})^{2} = 2^{6-1}$, $N_{1} = 320,000\ grains/inch^{2}$
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