Dimensional Analysis Practice Worksheet Solutions
Complete this and place it in your portfolio after section 2-2. I will email the solutions later so
that you can check your work (make sure you are showing the work the same way you see it in
the solutions, using dimensional analysis). It is important that you practice and learn to use
dimensional analysis (multiplying by unit fractions) appropriately. Make sure you get help if you
are still having difficulties with this topic. Use my office hours or the math tutors in the Student
Learning Center in the library. You do not have to write sentences on this practice worksheet.
You do need to show all of the units and use
≈
for approximations.
Do the following conversions using dimensional analysis using the conversion factors on page
74 of your text. You should be doing these all in one computation (even if you have to use more
than one unit fraction), not several computations. I have done #1 as example.
1. 5400 inches to miles
5400 in. 1 ft
×12 in.
1 mi
5280 ft
×5400 mi
63360
0.085 mi
=
≈
2. 13 weeks to seconds
13 weeks 7 days
×1 week
24 hrs
×1 day
60 min
×1 hr
60 sec
1 min
×7,862,400 sec=
3. 54 yards to mm
54 yards 3 feet
×1 yd
1 m
×3.28 ft
1000 mm
1 m
×162000 mm
3.28
49,390.24 mm
=
≈
4.
cm
36 sec
to mph
36 cm
1 sec
60 sec
×1 m
1 hr ×1000 cm
3.28 ft
×1 m
1 mi
5280 ft
×7084.8 mi
5280000 hr
mi
0.00134 hr
=
≈
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