1. Dimensional Analysis Problems

2. 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

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

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

5. 4. Convert 25 m/s to km/hr.
Conversion factors:
1 km = 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

6. 5. Convert 60 mi/hr to m/s.
Conversion factors:
1 mile = 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

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

8. 7. Aluminum has a density of 2700 kg/m3. Convert to g/cm3.
conversion factors:
1 kg = 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
= g/cm3