Due:
In class, Friday
February 1, 2008
Name(s)
(up to four students per homework set)
:
Section number(s)
1.
2.
3.
4.
For instructor or TA use only:
Problem
Score
Points
1
10
2
15
3
20
4
10
5
25
6
10
7
10
M E 345
Spring Semester, 2008
Homework Set # 2
Professor J. M. Cimbala
Total:
100
1
.
(10 pts)
Express the dimensions of each of the following variables in terms of
primary dimensions
only:
(
a
) electrical voltage (
V
)
(
b
) electrical resistance (
R
)
2
.
(15 pts)
Albert Einstein is pondering how to write his (soontobefamous) equation. He knows that
energy
E
is a function of mass
m
and the speed of light
c
, but he doesn’t know the functional relationship
(
E
=
m
2
c
?
E
=
mc
4
?).
Pretend that Albert knows nothing about dimensional analysis, but since you are
taking M E 345, you help Albert come up with his equation. Use the stepbystep method of repeating
variables to generate a dimensionless relationship between these parameters.
Show all your work for full
credit
.
Note
: For consistency, use the masslengthtimetemperature (mLtT) system of dimensions, not
the forcelengthtimetemperature (FLtT) system that some of you may have learned in another class.
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 Spring '08
 staff
 Standard Deviation, Mean, Sample standard deviation

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