EP WEBASSIGN FOR MOAVENI'S ENGINEERING
EP WEBASSIGN FOR MOAVENI'S ENGINEERING
6th Edition
ISBN: 9780357126592
Author: MOAVENI
Publisher: CENGAGE CO
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Chapter 6, Problem 1P
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Convert the given information in the accompanying table from SI units to U.S. Customary units.

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Answer to Problem 1P

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

Convert from SI UnitsTo U.S. Customary Units
120kmhr74.5mileshr and 109.3fts
1000W3412Btuhr and 1.341hp
100m33531.348ft3
80kg176.4lbm
1000kgm362.43lbmft3
900N202.3lbf
100kPa14.5lbfin2
9.81ms232.2fts2

Explanation of Solution

Given data:

Refer to Problem 6.1 in textbook for the accompanying table.

Formula used:

Convert hr to s,

1hr=3600s

Convert meter to foot,

1m=3.2808ft

Convert foot to inches,

1ft=12in

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 kg to lbm,

1kg=2.2046lbm

Convert N to lbf,

1N=224.809×103lbf

Calculation:

Case 1:

Convert the given value of SI units,

120kmhr=120(1000m)hr[1km=1000m]=120000mhr (1)

Substitute the unit 3.2808ft for 1m in equation (1).

120kmhr=120000(3.2808ft)hr=(120000)(3.2808fthr)=393696fthr (2)

Reduce the equation as follows,

120kmhr=393696(15280miles)hr[1ft=15280miles]=74.5mileshr (3)

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

120kmhr=393696ft(3600s)=3936963600fts=109.3fts (4)

From equation (3) and equation (4), the conversion of given value of SI units to U.S. Customary units are 74.5mileshr.and 109.3fts.

Case 2:

Convert the given value of SI units,

1000W=(1000)(0.7375ftlbfs)[1W=0.7375ftlbfs]=737.5ftlbfs (5)

Reduce the equation as follows,

1000W=737.5(1778.17Btu)s[1ftlbf=1778.17Btu]=0.9477Btus (6)

Equation (6) becomes,

1000W=0.9477Btu(13600hr)[1s=13600hr]=(0.9477)(3600Btuhr)=3412Btuhr (7)

Substitute the unit 1550hp for 1ftlbfs in equation (5).

1000W=737.5×1550hp=1.341hp (8)

From equation (7) and equation (8), the conversion of given value of SI units to U.S. Customary units are 3412Btuhr and 1.341hp.

Case 3:

Convert the given value of SI units,

100m3=100×(3.2808ft)3[1m=3.2808ft]=100×3.28083ft3=3531.348ft3

Thus, the conversion of given value of SI units to U.S. Customary units is 3531.348ft3.

Case 4:

Convert the given value of SI units,

80kg=80×2.2046lbm[1kg=2.2046lbm]=176.4lbm

Thus, the conversion of given value of SI units to U.S. Customary units is 176.4lbm.

Case 5:

Convert the given value of SI units,

1000kgm3=1000×2.2046lbmm3[1kg=2.2046lbm]=2204.6lbmm3 (9)

Substitute the unit 3.2808ft for 1m in equation (9).

1000kgm3=2204.6lbm(3.2808ft)3=62.43lbmft3

Thus, the conversion of given value of SI units to U.S. Customary units is 62.43lbmft3.

Case 6:

Convert the given value of SI units,

900N=900×224.809×103lbf[1N=224.809×103lbf]=202.3lbf

Thus, the conversion of given value of SI units to U.S. Customary units is 202.3lbf.

Case 7:

Convert the given value of SI units,

100kPa=100×1000Pa            [1kPa=1000Pa]=100000Pa (10)

Substitute the unit Nm2 for Pa in equation (10).

100kPa=100000Nm2=100000N(3.2808ft)2[1m=3.2808ft]=1000003.28082Nft2=9290.53Nft2 (11)

Substitute the unit 12in for 1ft in equation (11).

100kPa=9290.53N(12in)2=9290.53122(224.809×103lbf)in2[1N=224.809×103lbf]=9290.53×224.809×103144lbfin2=14.5lbfin2

Thus, the conversion of given value of SI units to U.S. Customary units is 14.5lbfin2.

Case 8:

Convert the given value of SI units,

9.81ms2=9.81(3.2808ft)s2             [1m=3.2808ft]=9.81×3.2808fts2=32.2fts2

Thus, the conversion of given value of SI units to U.S. Customary units is 32.2fts2.

Conclusion:

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

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Chapter 6 Solutions

EP WEBASSIGN FOR MOAVENI'S ENGINEERING

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