Arkansas State University
Department of Chemistry
and Physics
Answers - worksheet 2
Unit Conversions

 

Calculate each of the following:

a) number of feet in 1.24 yd.                                                                                 3 ft = 1 yd
 
1.24 yd  x
 3 ft
1 yd
 = 3.72 ft

b) number of seconds in 2.5 hours
 

2.5 hr  x
60 min
 1 hr
 x
  60 s
 1 min
 = 9.0 x 103 s

c) number of inches in 27.6 cm                                                                              1 in = 2.54 cm
 
27.6 cm  x    1 in 
2.54 cm		 = 10.9 in

d) convert 2.78 x 104 cm to km
 
2.78 x 104 cm x
 10-2 m
  1 cm
 x
 1 km 
103 m
 = 2.78 x 10-1 km

e) The density of iron is 7.86 g/cm3.  What is the volume of 55.0 g of iron?
 
55.0 g Fe  x
 1 cm3
7.86 g
 = 7.00 cm3

f) convert 334.0 mL to m3.                                                                                   1 mL = 1 cm3
 
334.0 mL  x
1 cm3
1 mL
 x
10-2 m
     1 cm		 x
10-2 m
    1 cm		 x
10-2 m
     1 cm		 =   3.340 x 10-4 m3

g) what is your mass in kg?
 
150 lbs x
    1 kg 
2.2 lbs
 = 68 kg

h) a pitcher throws a ball at 45m/s, how fast is this in mi/hr?
 
45 m/s  x   1 cm 
10-2 m		 x    1 in 
2.54 cm		 x   1 ft 
 12 in		 x   1  mi 
5280 ft		 x   60 s
1 min		 x 60 min
  1 hr		 x = 100 mi/hr

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