Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 42, Problem 154A
To determine

(a)

The value of expansion of the aluminum.

Expert Solution
Check Mark

Answer to Problem 154A

The value of expansion of the aluminum is 1293.278×10-5in.

Explanation of Solution

Given:

Original length of metal = 6.7520in.

Linear expansion per unit of length per degree Fahrenheit =  1.22×10-5

Original temperature = 68.0°F

Temperature to which heated = 225.0°F

According to the given formula of expansion,

  Expansion = originallength×Linear expansion per unitlengthperdegree Fahrenheit ×ΔT

On substituting the given values,

  Tempreature change(ΔT)=225.0°F68.0°F=157°F

  Expansion = (6.7520in)×(1 .22×10 -5)×157°FExpansion = 1293.278×10-5in

So, the value of expansion of the aluminum is 1293.278×10-5in.

To determine

(b)

The value of expansion of the copper.

Expert Solution
Check Mark

Answer to Problem 154A

The value of expansion of the copper is 19948.5×10-6ft.

Explanation of Solution

Given:

Original length of metal = 35.750ft

Linear expansion per unit of length per degree Fahrenheit = 9.000×10-6

Original temperature = 35.0°F

Temperature to which heated = 97.0°F

According to the given formula of expansion,

  Expansion = originallength×Linear expansion per unitlengthperdegree Fahrenheit ×ΔT

On substituting the values,

  Tempreature change(ΔT)=97.0°F35.0°F=62.0°F

  Expansion = (35.750ft)×(9 .000×10 -6)×(62.0°F)Expansion = 19948.5×10-6ft.

So, the value of expansion of the copper is 19948.5×10-6ft.

To determine

(c)

The value of expansion of the carbon steel.

Expert Solution
Check Mark

Answer to Problem 154A

The value of expansion of the carbon steel is 125540.390×10-6in.

Explanation of Solution

Given:

Original length of metal = 30.0950in.

Linear expansion per unit length per degree Fahrenheit = 6.330×10-6

Original temperature = 84.0°F

Temperature to which heated = 743.0°F

According to the given formula of expansion,

  Expansion = originallength×Linear expansion per unitlengthperdegree Fahrenheit ×ΔT

On substituting the values,

  Tempreature change(ΔT)=743.0°F84.0°F=659.0°F

  Expansion = (30.0950in)×(6 .330×10 -6)×659.0°FExpansion = 125540.3897×10-6in=125540.390×10-6in

So, the value of expansion of the carbon steel is 125540.390×10-6in.

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Chapter 42 Solutions

Mathematics For Machine Technology

Ch. 42 - Divide the following terms as indicated. 014mnCh. 42 - Divide the following terms as indicated....Ch. 42 - Divide the following terms as indicated....Ch. 42 - Divide the following terms as indicated. DM2(1)Ch. 42 - Divide the following terms as indicated. 3.7ababCh. 42 - Divide the following terms as indicated....Ch. 42 - Divide the following terms as indicated....Ch. 42 - Divide the following terms as indicated....Ch. 42 - Divide the following terms as indicated....Ch. 42 - Divide the following terms as indicated....Ch. 42 - Divide the following terms as indicated....Ch. 42 - Prob. 22ACh. 42 - Divide the following terms as indicated....Ch. 42 - Divide the following terms as indicated....Ch. 42 - Divide the following terms as indicated. 34FS3(3S)Ch. 42 - Divide the following terms as indicated....Ch. 42 - Divide the following expressions as indicated....Ch. 42 - Divide the following expressions as indicated....Ch. 42 - Divide the following expressions as indicated....Ch. 42 - Divide the following expressions as indicated....Ch. 42 - Divide the following expressions as indicated....Ch. 42 - Divide the following expressions as indicated....Ch. 42 - Divide the following expressions as indicated....Ch. 42 - Divide the following expressions as indicated....Ch. 42 - Divide the following expressions as indicated....Ch. 42 - Prob. 36ACh. 42 - Divide the following expressions as indicated....Ch. 42 - Prob. 38ACh. 42 - Prob. 39ACh. 42 - Prob. 40ACh. 42 - Raise the following terms to indicated powers....Ch. 42 - Prob. 42ACh. 42 - Prob. 43ACh. 42 - Prob. 44ACh. 42 - Prob. 45ACh. 42 - Prob. 46ACh. 42 - Prob. 47ACh. 42 - Prob. 48ACh. 42 - Prob. 49ACh. 42 - Prob. 50ACh. 42 - Prob. 51ACh. 42 - Prob. 52ACh. 42 - Prob. 53ACh. 42 - Prob. 54ACh. 42 - Prob. 55ACh. 42 - Prob. 56ACh. 42 - Prob. 57ACh. 42 - Prob. 58ACh. 42 - Prob. 59ACh. 42 - Prob. 60ACh. 42 - Prob. 61ACh. 42 - Prob. 62ACh. 42 - Prob. 63ACh. 42 - Prob. 64ACh. 42 - Prob. 65ACh. 42 - Prob. 66ACh. 42 - Prob. 67ACh. 42 - Prob. 68ACh. 42 - Prob. 69ACh. 42 - Prob. 70ACh. 42 - Determine the roots of the following terms. 81x8y6Ch. 42 - Prob. 72ACh. 42 - Prob. 73ACh. 42 - Prob. 74ACh. 42 - Prob. 75ACh. 42 - Prob. 76ACh. 42 - Prob. 77ACh. 42 - Prob. 78ACh. 42 - Prob. 79ACh. 42 - Prob. 80ACh. 42 - Prob. 81ACh. 42 - Prob. 82ACh. 42 - Prob. 83ACh. 42 - Prob. 84ACh. 42 - Prob. 85ACh. 42 - Prob. 86ACh. 42 - Prob. 87ACh. 42 - Prob. 88ACh. 42 - Prob. 89ACh. 42 - Prob. 90ACh. 42 - Prob. 91ACh. 42 - Prob. 92ACh. 42 - Prob. 93ACh. 42 - Prob. 94ACh. 42 - Prob. 95ACh. 42 - Prob. 96ACh. 42 - Prob. 97ACh. 42 - Prob. 98ACh. 42 - Prob. 99ACh. 42 - Prob. 100ACh. 42 - Prob. 101ACh. 42 - Prob. 102ACh. 42 - Prob. 103ACh. 42 - Prob. 104ACh. 42 - Prob. 105ACh. 42 - Prob. 106ACh. 42 - Simplify the following expressions. 64d69d2Ch. 42 - Prob. 108ACh. 42 - Prob. 109ACh. 42 - Prob. 110ACh. 42 - Prob. 111ACh. 42 - Prob. 112ACh. 42 - Prob. 113ACh. 42 - Rewrite the following standard form numbers in...Ch. 42 - Prob. 115ACh. 42 - Rewrite the following standard form numbers in...Ch. 42 - Rewrite the following standard form numbers in...Ch. 42 - Prob. 118ACh. 42 - Prob. 119ACh. 42 - Prob. 120ACh. 42 - Prob. 121ACh. 42 - Prob. 122ACh. 42 - Prob. 123ACh. 42 - Prob. 124ACh. 42 - Prob. 125ACh. 42 - Prob. 126ACh. 42 - Prob. 127ACh. 42 - Prob. 128ACh. 42 - Prob. 129ACh. 42 - Prob. 130ACh. 42 - Prob. 131ACh. 42 - Prob. 132ACh. 42 - Prob. 133ACh. 42 - Prob. 134ACh. 42 - Prob. 135ACh. 42 - Prob. 136ACh. 42 - Prob. 137ACh. 42 - Prob. 138ACh. 42 - Prob. 139ACh. 42 - Prob. 140ACh. 42 - Prob. 141ACh. 42 - Prob. 142ACh. 42 - Prob. 143ACh. 42 - Prob. 144ACh. 42 - Prob. 145ACh. 42 - Prob. 146ACh. 42 - Prob. 147ACh. 42 - Prob. 148ACh. 42 - Prob. 149ACh. 42 - The following problems are given in decimal...Ch. 42 - Prob. 151ACh. 42 - Prob. 152ACh. 42 - Prob. 153ACh. 42 - Prob. 154A
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