AN INTRODUCTION TO
MechanicalWaves
Faculty: Information and Computer Technologies
Department: Data AnalyticsData Science
Student: Mahammad Ahmadov
2.
A mechanical waveis a type of wave that transmits energy
through a medium, such as solids, liquids, or gases, by
causing the particles within the medium to oscillate around
a central point.
Technologies like ultrasound use mechanical waves
to create images of the inside of the human body,
being widely used in medicine
What mechanical waves are and why
they mater?
Key Characteristics
of MechanicalWave
• Amplitude (A)
• Maximum displacement or distance
from its equilibrium or rest position
• Unit: Meter (m)
• Carries Energy. Greater Amplitude greater Energy
• Wavelength (λ)
• The distance between any two adjacent points
on a wave that are in the same phase
• Unit: Meter (m)
• Formula: = /
𝜆 𝑣 𝑓
• Period (T)
• The time for one complete vibration
• Unit: Second (s)
• Formula: T = 1 /𝑓
• Frequency ( )
𝑓
• the number of complete wave cycles per unit of time
• Unit: Hertz (Hz)
• Formula: = 1 / T
𝑓
• Speed ( )
𝑣
• The distance a wave travels per unit of time
• Unit: Meter per Second (m/s)
• Formula: = λ*
𝑣 𝑓
• The speed is primarily determined by the
properties of the medium the wave is
traveling through, not the wave's properties
5.
Transverse Wave
TYPES OFWAVES:
vibrations of particles are
perpendicular to the
direction of travel
direction
of travel
vibration amplitude
wavelength
crest
troug
h
6.
vibrations of particlesare
parallel to the direction of
travel
Longitudinal Wave
TYPES OF WAVES:
vibration
rarefaction
compression
direction of travel
7.
• Light wavesripple on a
water surface
• Hand moving up and down
• Sound waves
• Hand moves back and
forth
Transverse Longitudinal
Examples of Waves
Medium Speed ofSound (m/s)
Steel 5000
Water 1480
Air 343
SOUND
Sound has characteristics such as loudness and pitch
• Loudness depends on amplitude. The greater the amplitude, the louder the sound
• Pitch depends on frequency. The sound with higher frequency is more shrill
10.
Transfer of
Energy
How itworks
• Particle oscillation: When a wave passes
through a medium, it disturbs the particles
in that medium, causing them to move
back and forth or up and down from their
resting points.
• Energy transfer: The disturbance is a
transfer of energy. Each vibrating particle
transfers its energy to the next one, which
then starts vibrating.
• No net movement: Although the particles
are constantly moving, they do not travel
along with the wave. They simply return to
their original positions after the wave has
passed through them, like a ripple in a
pond or a "wave" of people in a stadium.
Waves transfer energy without
transporting matter by causing the
particles of a medium to vibrate or
oscillate around their fixed positions.
Experiment
You can perform simple
experiment to make sure that
there is no matter transportation
in mechanical waves
Fill up a bath or container with water and put a
rubber duck in it. Hit a water surface with your
palm to create waves. As wave reaches the duck,
you will see how it moves up and down. The wave
will pass, but the duck will remain its place. This
means that water under the duck did not transport
either.
This proves that waves do not transfer matter.
11.
Superposition Interference
The superpositionprinciple for mechanical
waves states that when two or more waves
overlap, the total displacement at any point is
the algebraic sum of the individual
displacements of each wave at that point
Interference is a phenomenon where
mechanical waves combine in a medium,
resulting in either a larger wave (constructive
interference) or a smaller wave (destructive
interference) through the principle of
superposition
12.
Resonance
Resonance is aphenomenon
where a mechanical system
vibrates with maximum
amplitude when the frequency
of an external force matches its
natural frequency of vibration
This effect can be
demonstrated by
pushing a child on
a swing in time with
the swing's motion,
causing it to go
higher with each
push
However, it can also cause destructive swaying in
structures like bridges and buildings
The Broughton
Suspension Bridge in
England collapsed in 1831
due to a military march.
Soldiers marching in step
on the bridge created a
rhythmic force that
matched the bridge's
natural frequency, causing
it to vibrate violently and
collapse
• Mechanical wavesneed a medium and carry
energy, not matter.
• Their properties (frequency, wavelength, speed)
define how they move and interact.
• Concepts like interference and resonance
explain many real-world behaviors.
• Mechanical waves are essential in medicine,
engineering, communication, and Earth
science.
• They remain a central topic in physics with
many practical uses.
Key Takeaways
Mechanical waves are not just
theoretical concepts—they are the
foundation of how our world moves,
communicates, and responds to
forces