Fundamentals of Mechanics/Units and Vectors/Conversion Factors

SI Units Dimensional Analysis There are two other major systems of units besides the SI units. The CGS system of units, which uses the centimeter, gram, and second as its base units, and The FPS system of units, which uses the foot, pound, and second as its base units. The conversion factors between the SI units and other systems of units of length, mass, and time are as follows: table 1.3Table 1.3 Length conversion factors One:   Equals: Meters Inches Feet Miles Meter 1 m 39.37 in 3.281 ft 6.214 × 10−4 mi Inch 0.0254 m 1 in Foot 0.3048 m 12 in 1 ft Mile 1609 m 63 360 in 5280 ft 1 mi table 1.4Table 1.4 Mass conversion factors One:   Equals: Kilograms Grams Slugs Atomic Mass Units Kilogram 1 kg 1000 g 0.068 52 slug 6.022 × 1026 u Gram 1 × 10−4 kg 1 g 6.852 × 10−5 slug 6.022 × 1023 u Slug 14.59 kg 14 590 g 1 slug 8.789 × 1027 u Atomic Mass Unit 1.661 × 10−27 kg 1.661 × 10−24 g 1.138 × 10−28 slug 1 u table 1.5Table 1.5 Time conversion factors One:   Equals: Seconds Minutes Hours Years Second 1 s 3.169 × 10−8 yr Minute 60 s 1 min 1.901 × 10−6 yr Hour 3600 s 60 min 1 h 1.141 × 10−4 yr Year 3.156 × 107 s 525 900 min 8766 hr 1 yr 1.1 If a tree is measured to be 10.0 m tall, what is its height in inches and in feet? 1.2 If the volume of a room is 32.0 m3, what is the volume in cubic inches?