Concept explainers
Convert the given information in the accompanying table from U.S. Customary units to SI units.
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 Units | To SI Units |
65 mileshr | 104.6 kmhr and 29 ms |
60000 Btuhr | 1760 W |
120 lbmft3 | 1922.25 kgft3 |
30 lbfin2 | 206.8 kPa |
200 lbm | 90.7 kg |
200 lbf | 890 N |
Explanation of Solution
Given data:
Refer to Problem 6.2 in textbook for the accompanying table.
Formula used:
Convert hr to s,
1 hr=3600 s
Convert foot to meter,
1 ft=0.3048 m
Convert inches to foot,
1 in=112 ft
Convert mile to foot,
1 mile=5280 ft
Convert km to m,
1 km=1000 m
Convert W to ft⋅lbfs,
1 W=0.7375 ft⋅lbfs
Convert Btu to ft⋅lbf,
1 Btu=778.17 ft⋅lbf
Convert ft⋅lbfs to hp,
1 ft⋅lbfs=1550 hp
Convert lbm to kg,
1 lbm=0.4536 kg
Convert lbf to N,
1 lbf=4.448 N
Calculation:
Case 1:
Convert the given value of U.S. Customary units,
65 mileshr=65 (5280 ft)hr [∴1 mile=5280 ft]=343200 fthr (1)
Substitute the unit 0.3048 m for 1 ft in equation (1).
65 mileshr=343200 (0.3048 m)hr=343200×0.3048 mhr=104607.36 mhr (2)
Reduce the equation as follows,
65 mileshr=104607.36 (11000 km)hr [∴1 m=11000 km]=104.6 kmhr (3)
Substitute the unit 3600 s for 1 hr in equation (2).
65 mileshr=104607.36 m(3600 s)=104607.363600 ms=29 ms (4)
From equation (3) and equation (4), the conversion of given value of U.S. Customary units to SI units are 104.6 kmhr.and 29 ms.
Case 2:
Convert the given value of U.S. Customary units,
60000 Btuhr=60000 (778.17 ft⋅lbf)hr [∴1 Btu=778.17 ft⋅lbf]=60000×778.17 ft⋅lbfhr=46690200 ft⋅lbf(3600 s) [∴1 hr=3600 s]=12969.5 ft⋅lbfs
Reduce the equation as follows,
60000 Btuhr=12969.5×10.7375 W [∴1 ft⋅lbfs=10.7375 W]=17585.763 W (5)
From equation (5), the conversion of given value of U.S. Customary units to SI units is 17585.763 W.
Case 3:
Convert the given value of U.S. Customary units,
120 lbmft3=120 (0.4536 kg)ft3 [∴1 lbm=0.4536 kg]=120×0.4536 kgft3=54.432 kgft3 (6)
Substitute the unit 0.3048 m for 1 ft in equation (6).
120 lbmft3=54.432 kg(0.3048 m)3=54.4320.30483 kgft3=1922.25 kgft3 (7)
From equation (7), the conversion of given value of U.S. Customary units to SI units is 1922.25 kgft3.
Case 4:
Convert the given value of U.S. Customary units,
30 lbfin2=30 (4.448 N)in2 [∴1 lbf=4.448 N]=133.44 N(112 ft)2 [∴1 in=112 ft]=133.44×122 Nft2=19215.36 Nft2 (8)
Substitute the unit 0.3048 m for 1 ft in equation (8).
30 lbfin2=19215.36 N(0.3048 m)2=19215.360.30482 Nm2=206832.414 Nm2 (9)
Substitute the unit Pa for Nm2 in equation (9).
30 lbfin2=206832.414 Pa=206832.414×11000 kPa [∴1 Pa=11000 kPa]=206.8 kPa (10)
From equation (10), the conversion of given value of U.S. Customary units to SI units is 206.8 kPa.
Case 5:
Convert the given value of U.S. Customary units,
200 lbm=200×0.4536 kg [1 lbm=0.4536 kg]=90.7 kg (11)
From equation (11), the conversion of given value of U.S. Customary units to SI units is 90.7 kg.
Case 6:
Convert the given value of U.S. Customary units,
200 lbf=200×4.448 N [∵1 lbf=4.448 N]=890 N (12)
From equation (12), the conversion of given value of U.S. Customary units to SI units is 890 N.
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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