Standing Waves in A String

Standing Waves in a String
Juan Paolo A. Olegario

De La Salle University Integrated School, Taft Avenue, Manila
juan_olegario@dlsu.edu.ph
Abstract: This experiment is designed to investigate the properties of standing waves

on a string. There are many properties to investigate; propagation velocity and
vibration modes are two that come to mind. The equation for propagation
velocity/frequency was verified, and the relationship between vibration modes was
confirmed.
1. INTRODUCTION
1.1 Background of Study

Standing waves occur when one end of the
string is introduced to an oscillator and the other end
is connected to a mass or something that will fix the
string so that when the oscillator, which operates
SHM to the unfixed end of the string with a constant
f, results in a transverse wave travelling along the
string. The transverse wave reaches the end of the
string where the string is fixed to, and reflects back
with a velocity in the opposite direction. As a result, With the data amassed from the experiment
to this an observer will be able to see standing waves the equations to be used:
created with loops and nodes in between them that
do not move. Along with these standing waves, the where 𝜈 is the wave velocity on the string.
The velocity of a transverse wave on a string that has
observer will also be able to see the maximum
a mass per unit length  and is under tension
amplitude produced which are called the antinodes.
1.2 Objectives
To verify the relationship among wave
velocity, wavelength, and frequency of a transverse In this experiment, the frequency of
oscillation due to the wave driver is fixed while the
wave
hanging weight is adjusted so that the string vibrates
in well-defined segments. Therefore, the length of the
1.3 Scope and Limitation string, i.e. from the end of the string tied to the wave
The experiments scenario has led the driver to the other end touching the pulley, will always
researcher to have limited time with a substantial accommodate multiple numbers of half-wavelength so
amount of equipment to work with. As the data that that
was recorded manually that factors that would result
to the ideal value discrepancy (i.e Reaction Time,
Equipment Error and Friction). Combining these relations leads to
2. METHODOLOGY
The experiment would require a set-up
involving a as the fundamental relation connecting the
frequency of oscillation and the parameters of the
string (length, tension, mass per unit length) when it https://www.physicsclassroom.com/class/circle
is vibrating in a standing wave pattern with n loops. s/Lesson-3/Cavendish-and-the-Value-of-G
Solving for the frequency leads to
BSL Physics Glossary (n.d). Uniform Acceleration.
Retrieved November 30, 2018 from:
www.ssc.education.ed.ac.uk>uniformaccd
3. RESULTS AND DISCUSSION Physics Leaning Site (n.d). Uniform Acceleration.

Retrieved December 1, 2018 from:
From the experiment the graph below shows www.physiceslearningsite.com/uniform-
the values derived from the formulas (see METHODS) acceleration
and from the data that was gathered and is projected
in the table below. Wilson, J. D. (1994). Physics laboratory experiments
4th edition. L Physics Laboratory Experiments
4th Edition. Lexington, Massachusetts: DC
Health and Company
4. CONCLUSIONS
Based on the results of the experiment it
projects a proportionality in the tension and segments
produced, which also goes with the hanging mass and
the wave velocity, though the tension is inversely
squared with the number of segments. This is due to
the possible error from the elasticity of the string, and
a recommendation for this experiment for the future
researchers doing this experiment would be the
variable of the string as to how it relates to the tension
and the hanging mass with the string’s elasticity.
5. ACKNOWLEDGMENTS
The researcher would like to thank Kousuke

Abe and Joshua Lim for contributing to the
experimentation and data gathering phase which is
used in this paper. Special thanks are also given to
Prof. Dela Torre for helping to guide and facilitate the
experiment along the way.
6. REFERENCES
The Physics Classroom. (2018). Cavendish and the
value of g. Retrieved from:

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Standing Waves in a String

Juan Paolo A. Olegario

Abstract: This experiment is designed to investigate the properties of standing waves

1.1 Background of Study

3. RESULTS AND DISCUSSION Physics Leaning Site (n.d). Uniform Acceleration.

The researcher would like to thank Kousuke

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