Engineering 103 –UMass Boston
CW 4
(In-Class-Work
4)
(a)
The
process of measuring the periods for different pendulum lengths and then do a
quadratic curve fitting is an example of a calibration process. Modify the
quadratic model you made in CW3, by setting c=0, you should obtain the same
results as shown in the picture below. Open a Word file
(cw4_lastnameplusinitial), provide: (i) the y value (measured) for x=6.35; (ii)
the predicted y’ value for x=6.35; (iii) the y value for x=6.7 (type in n/a if none); (iv) the y’ value for x=6.7.
(b)
Modify
CW3 to produce linear and cubic models for the same set of data, insert copies
of worksheets into your Word file.
(c)
Enter
the “s” values for the linear, quadratic, and cubic models..
Indicate which is the best model (linear, quadratic, or
cubic) for our set of data, and the reason.
(d)
Use
your understanding of what we are doing regarding data modeling and curve
fitting to reorder the following steps in a calibration process, separated by
semicolons, ”produce a parameter s indicating the difference between the
predicted y’-values and the measured y-values”;” make a model by entering the
parameters and the formula connecting x and the predicted y’”; “measuring the
y-values for different x-values”; ”minimize the s value using Excel Solver
tool”; “do a prediction of the y-value for certain x, and check”
*Remember
that this is an individual work (turn it in, as instructed, with your name and
date). Home-works and class-works count 20% toward the course grade.
Class-works are done in class.
