Victor Liou
Partner: Brian Kelly
Wave Motion on a String
Abstract:
In this experiment we wanted to examine the behavior of standing waves and how wave velocity
is affected by force.
Through experiment, we give validity to the equations
=
, =
,
=
f
1T
c
λT
and c
λf
.
In the first part of the experiment I show relationships in wavelength and frequency.
The of my 1/f vs.
wavelength graph have two worst fit lines with slopes 18.1m/s and 22.6m/s.
Through calculation of
/
F µ
,
I found a value of 24.1m/s .
This value is barely out of the range of error
.
/ <
.
/ <
.
/
18 9m s 22 6m s 24 1m s
which validates the relationship.
In the second part of the experiment, I found the relationship between
tension and wave speed.
After plotting the tension vs. C^2 graph, I found worst fit line slopes of 240.0m/
kg and 283.2m/kg.
After calculating 1/µ, I found a value of 237.6m/kg which is only slightly lower than
the error range,
.
/
<
.
/
<
.
/
237 6m kg 244 0m kg 283 2m kg
.
This again shows that period, force, and
frequency are all interrelated.
Theory:
If one end of a string is tied a vibrating body, and if a tension is present in the string, a periodic
wave will be propogated along the string.
The period, T, of a wave is defined as the time is takes for one
complete cyle of vibration of any particle of the string.
The frequency, f, is the number of complete
cycles of a particle of the string in a given time period.
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 Spring '08
 COMER
 Force, Wavelength, Standing wave, worst fit lines

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