Explanation Given info: Thermal expansion coefficient α = 1 .24×10 -5 0 c − 1 Length of steel rod is 40 cm at T 0 = 40 0 c Length of steel rod is 65 cm at T 0 = 100 0 c Concept used: ΔL=αL 0 ΔT ΔL: change in length ΔT : change in temperature L 0 : original length α: Thermal expansion coefficient Calculation: ( a ) Δ L = α L 0 Δ T L − L 0 = α L 0 ( T − T 0 ) L = L 0 + α L 0 ( T − T 0 ) = 40 c m + 1.24 × 10 - 5 × 40 c m ( 90 0 c − 40 0 c ) = 0.4 + 1.24 × 10 - 5 × 0.4 × 50 0 c = 0.4002 m = 40.02 c m ( b ) L = L 0 + α l 0 ( T − T 0 ) = 65 c m + 1

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 1.2, Problem 31E

To determine

(a) The length of steal at T=900c

(b) The length at T=500c if its length at T0=1000c is 65cm.

(c) Express length L as a function of T if L0=65cm at T0=1000c.

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Chapter 1.2, Problem 30E

Chapter 1.2, Problem 32E

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Chapter 1 Solutions

CALCULUS (CLOTH)

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(a) The length of steal at T=90 0 c (b) The length at T=50 0 c if its length at T 0 =100 0 c is 65cm . (c) Express length L as a function of T if L 0 =65cm at T 0 =100 0 c .

Solution Summary: The author explains how to determine the length of steal at T=90 0c.

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(a) The length of steal at T=900c

(b) The length at T=500c if its length at T0=1000c is 65cm.

(c) Express length L as a function of T if L0=65cm at T0=1000c.

Want to see the full answer?

Chapter 1 Solutions

(a) The length of steal at T=90 0 c (b) The length at T=50 0 c if its length at T 0 =100 0 c is 65cm . (c) Express length L as a function of T if L 0 =65cm at T 0 =100 0 c .

Solution Summary: The author explains how to determine the length of steal at T=90 0c.

Concept explainers

Videos

(a) The length of steal at T=900c (b) The length at T=500c if its length at T0=1000c is 65cm. (c) Express length L as a function of T if L0=65cm at T0=1000c.

Want to see the full answer?

Chapter 1 Solutions

(a) The length of steal at T=900c

(b) The length at T=500c if its length at T0=1000c is 65cm.

(c) Express length L as a function of T if L0=65cm at T0=1000c.