Engineering Fundamentals: An Introduction to Engineering
Engineering Fundamentals: An Introduction to Engineering
6th Edition
ISBN: 9780357112311
Author: Saeed Moaveni
Publisher: Cengage Learning US
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Chapter 6, Problem 2P
To determine

Convert the given information in the accompanying table from U.S. Customary units to SI units.

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Answer to Problem 2P

The conversion of given information in the accompanying table from U.S. Customary units to SI units are tabulated as follows:

Convert from U.S. Customary UnitsTo SI Units
65mileshr104.6kmhr and 29ms
60000Btuhr1760W
120lbmft31922.25kgft3
30lbfin2206.8kPa
200lbm90.7kg
200lbf890N

Explanation of Solution

Given data:

Refer to Problem 6.2 in textbook for the accompanying table.

Formula used:

Convert hr to s,

1hr=3600s

Convert foot to meter,

1ft=0.3048m

Convert inches to foot,

1in=112ft

Convert mile to foot,

1mile=5280ft

Convert km to m,

1km=1000m

Convert W to ftlbfs,

1W=0.7375ftlbfs

Convert Btu to ftlbf,

1Btu=778.17ftlbf

Convert ftlbfs to hp,

1ftlbfs=1550hp

Convert lbm to kg,

1lbm=0.4536kg

Convert lbf to N,

1lbf=4.448N

Calculation:

Case 1:

Convert the given value of U.S. Customary units,

65mileshr=65(5280ft)hr             [1mile=5280ft]=343200fthr (1)

Substitute the unit 0.3048m for 1ft in equation (1).

65mileshr=343200(0.3048m)hr=343200×0.3048mhr=104607.36mhr (2)

Reduce the equation as follows,

65mileshr=104607.36(11000km)hr[1m=11000km]=104.6kmhr (3)

Substitute the unit 3600s for 1hr in equation (2).

65mileshr=104607.36m(3600s)=104607.363600ms=29ms (4)

From equation (3) and equation (4), the conversion of given value of U.S. Customary units to SI units are 104.6kmhr.and 29ms.

Case 2:

Convert the given value of U.S. Customary units,

60000Btuhr=60000(778.17ftlbf)hr[1Btu=778.17ftlbf]=60000×778.17ftlbfhr=46690200ftlbf(3600s)[1hr=3600s]=12969.5ftlbfs

Reduce the equation as follows,

60000Btuhr=12969.5×10.7375W[1ftlbfs=10.7375W]=17585.763W (5)

From equation (5), the conversion of given value of U.S. Customary units to SI units is 17585.763W.

Case 3:

Convert the given value of U.S. Customary units,

120lbmft3=120(0.4536kg)ft3[1lbm=0.4536kg]=120×0.4536kgft3=54.432kgft3 (6)

Substitute the unit 0.3048m for 1ft in equation (6).

120lbmft3=54.432kg(0.3048m)3=54.4320.30483kgft3=1922.25kgft3 (7)

From equation (7), the conversion of given value of U.S. Customary units to SI units is 1922.25kgft3.

Case 4:

Convert the given value of U.S. Customary units,

30lbfin2=30(4.448N)in2[1lbf=4.448N]=133.44N(112ft)2[1in=112ft]=133.44×122Nft2=19215.36Nft2 (8)

Substitute the unit 0.3048m for 1ft in equation (8).

30lbfin2=19215.36N(0.3048m)2=19215.360.30482Nm2=206832.414Nm2 (9)

Substitute the unit Pa for Nm2 in equation (9).

30lbfin2=206832.414Pa=206832.414×11000kPa[1Pa=11000kPa]=206.8kPa (10)

From equation (10), the conversion of given value of U.S. Customary units to SI units is 206.8kPa.

Case 5:

Convert the given value of U.S. Customary units,

200lbm=200×0.4536kg[1lbm=0.4536kg]=90.7kg (11)

From equation (11), the conversion of given value of U.S. Customary units to SI units is 90.7kg.

Case 6:

Convert the given value of U.S. Customary units,

200lbf=200×4.448N[1lbf=4.448N]=890N (12)

From equation (12), the conversion of given value of U.S. Customary units to SI units is 890N.

Conclusion:

Hence, the conversion of given information in the accompanying table from U.S. Customary units to SI units has been explained.

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Chapter 6 Solutions

Engineering Fundamentals: An Introduction to Engineering

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