For the data in this file (click
here to download) please make
the following calculations. Note that all your plots should be
log-log; adjust the number of decades shown to focus in on your
data. Do not plot fractional decades (only full decades).
- Calculate G* from "viscous modulus" (G") and "elastic modulus"
(G').
Plot your caclulated G* versus frequency (in rad/s) on the same axes
(log-log) as the "complex modulus" data that
is in the data file. Are they the same? (They should be).
- Calculate eta* from "complex modulus". Plot your calculated
eta* versus frequency (in rad/s) on the same axes (log-log) as the
"complex viscosity" data that is in the data
file. Are they the same? (They should be).
- Calculate tan delta from the "phase angle" data. Calculate
tan delta as tan delta=G"/G' (see formulas in Table 5.1 page
156). Are they the same? They should be. (Note in
Excel when you take the tangent of an angle, the angle must be in
radians). Plot your calculations on the same graph (log log,
versus frequency in rad/s).
- Calculate G' and G'' from "stress", "phase angle" and "strain"
using equations 5.128 and 5.129 on page 155 of the text. Do they
match the "elastic" and "viscous" moduli given? They
should. Plot your calculations on the same axes (log-log, versus
frequency, rad/s).
- Calculate the frequency omega, where omega is frequency in
radians per second (instead of Hz, which is cycles per second, 2*Pi
radians per cycle). Plot G', G'', and eta * versus omega on a log
log plot. This is usually how we report this data.