Due:
In class, Friday
January 25, 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
15
2
15
3
15
4
15
5
10
6
10
7
15
8
5
M E 345
Spring Semester, 2008
Homework Set # 1
Professor J. M. Cimbala
Total:
100
1
.
(15 pts)
In this course, we will often need to generate plots using Microsoft Excel. For practice, create an Excel
spreadsheet with two columns,
t
(time in seconds) and
f
(
t
) (a function of
t
, measured in volts). Let
t
range from 0 to 1.0 s
with a time increment of 0.01 s (101 rows of data). The function is
( )
( )
1.3sin 15
0.8 volts
ft
t
π
=+
(
a
) Create columns for
t
and
f
(
t
) and plot
f
(
t
) as a function of
t
for
t
= 0 to 1.0 s.
Hint
: Excel’s built in function PI() can be
used for
. Make the plot nice looking, with a white (not gray) background, gridlines, labels for the horizontal and
vertical axes, and major and minor tick marks on the axes. The
t
axis range must be 0 to 1.0 s, and the
f
(
t
)axis range
must be –1.0 to 3.0 volts. Use both a smooth line and symbols to represent the function. Make sure your name(s) is(are)
on the top of the spreadsheet. Hand in both the first page of the spreadsheet and the plot, which can be on the same page
to save space.
(
b
) Count the number of wavelengths of the function in this time interval, and calculate the period (
T
) and frequency (
f
) of
the function. Compare to the frequency predicted by the above equation.
(
c
) What is the peaktopeak amplitude of the function?
2
.
(15 pts)
As discussed in class, there are seven primary dimensions, from which all other dimensions can be obtained. In
dimensional analysis, one must write the dimensions of any parameter in terms of primary dimensions. For example, the
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