Dimensional Analysis Problems

Dimensional Analysis Problems 1. Convert 2.54 meters to centimeters. Conversion factor: 1 m = 100 cm 2.54 m 100 cm = 254 cm 1 m

2. Convert 1600 m to miles. Conversion factor: 1 mile = 1610 m 1600 m 1 mile = 0.994 mi 1610 m

3. How many gallons are there in 2.00 liters? Conversion factor: 1 gallon = 3.78 L 2.00 L 1 gal = 0.529 gal 3.78 L

4. Convert 25 m/s to km/hr. Conversion factors: 1 km = 1000 m 1 hr = 60 min 1 min = 60 s 25 m 1 km 60 s 60 min 25 ∙ 60 ∙ 60 km = s 1000 m 1 min 1 hr 1000 hr km = 90 hr

5. Convert 60 mi/hr to m/s. Conversion factors: 1 mile = 1610 m 1 hr = 60 min 1 min = 60 s 60 mi 1610 m 1 hr 1 min 60 ∙ 1610 m = hr 1 mi 60 min 60 s 60 ∙ 60 s m = 27 s

6. Convert 10 ft2 to in2. conversion factor : 1 ft. = 12 in ft ∙ ft 10 ft2 12 in 12 in = 1440 in2 1 ft 1 ft

7. Aluminum has a density of 2700 kg/m3. Convert to g/cm3. conversion factors: 1 kg = 1000 g 1 m = 100 cm 2700 kg 1000 g 1 m 1 m 1 m g = m3 1 kg 100 cm 100 cm 100 cm cm3 m ∙ m ∙ m = 2.70 g/cm3