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Mechanical Waves
• Mechanical waves are disturbances in matter that carry energy from one place to another.– Usually require matter through which to
travel – The matter a wave travels through is
called a medium.• Medium can be a solid, liquid, or gas• Some waves can travel through space…
with no medium!
Creation of mechanical waves:
• Need a source of energy!
• That energy causes a vibration to travel through the medium
Types of Mechanical Waves• Transverse:
– A wave that causes the medium to vibrate at right angles to the direction of the wave
Types of Mechanical Waves, ctd.
• Transverse
• Longitudinal:– A wave in which the vibration of the medium is
parallel to the direction the wave travels
Types of Mechanical Waves, ctd.
• Transverse
• Longitudinal
• Surface:– A wave that
travels along a
surface
separating two
media
Period vs Frequency
• Period – (T) – The time it takes for one cycle (= how long?)– Measured in seconds
• Frequency – (f) – The number of cycles in a given time (= how many?)– Measured in Hertz (Hz)
• Frequency is the inverse of the Periodf = 1 / T
Speed of a wave
• We find speed by distance divided by time.– The same holds true for waves!
• Speed of a wave = Wavelength/Period
• Speed of a wave = Wavelength*Frequency
Speed of a Wave
• The speed of a wave is constant within a medium.
• The speed can change when a wave enters a new medium
• All waves of the same type travel at the same speed– This means wavelength is inversely proportional to
frequency!• If the wavelength increases the frequency has to decrease! • If the wavelength decreases the frequency has to increase!
Practice Problem #1
A wave in a spring has a wavelength of 0.1 meters and a period of 0.2 seconds. What is the speed of the wave?
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Practice Problem #2
Find the wavelength of a wave in a rope that has a frequency of 2.0 Hz and a speed of 0.4 meters/second.
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What happens when…
• A wave meets a hard surface like a wall?
• A wave enters a new medium?
• A wave moves around an obstacle?
• A wave meets another wave?
A wave meets a hard surface like a wall?
• Reflection– A wave bounces off a surface that it can not
pass through
• Reflection does not change the speed or frequency of the wave, BUT the wave can be flipped upside down!
A wave enters a new medium?
• Refraction– The bending of a wave as it enters a new
medium
• The wave bends because as it enters a new medium it either speeds up or slows down!
A wave moves around an obstacle?
• Diffraction – the bending of a wave as it moves around an obstacle or passes through a narrow opening
A wave meets another wave?
• Interference – when two or more waves overlap and combine together.– Constructive– Destructive
Standing Waves
• Occur because of interference!
• A standing wave is a wave that appears to stay in one place.
Parts of a Standing wave
• Node – Where there is no displacement of the medium in a standing wave
• Antinode – Where there is maximum displacement of the medium in a standing wave
How do standing waves fit on a string?
• Standing waves only form if a half a wavelength or a multiple of half a wavelength fits exactly into the length of a vibrating string
Properties, ctd.
Sounds behave in certain ways because of the properties of sound waves. Some properties are:
• Speed
• Intensity & Loudness
• Frequency & Pitch
Speed
• Speed of sound = 342 m/s …THAT’S 765 mph!
• Sound speed varies, depending on medium– Travel fastest in solids, slowest in gases
– Travel fastest in the most dense media
– Speed of Sound animation
Intensity
• Intensity: the rate at which a wave’s energy flows through an area
• Sound intensity depends on– Amplitude– Distance from source
• Measured in decibels (dB)
Loudness
• Subjective! (This means it depends on the person who is hearing it.)
• Loudness is a personal, physical response to the intensity of sound.
• As intensity increases, so does loudness, but loudness also depends on the listener’s ears and brain.
Frequency & Pitch
• Frequency of a sound wave depends on how fast the source of the sound is vibrating.
• Pitch is how we hear frequency of sound waves
• Pitch depends on frequency…high frequency sounds are high pitched, and low frequency sounds are low pitched.
• Pitch also depends on age and health
Ultrasound
• Most people hear sounds between 20 and 20,000 Hz. – Infrasound – sound at frequencies lower than
people usually hear– Ultrasound – sound at frequencies higher
than people usually hear
• Used in technologies such as sonar and ultrasound imaging
Ultrasound, ctd.
• Sonar – a technique used to determine the distance to an object under water.
• Ultrasound – medical technique used to take pictures of different organs (or a fetus!)
The Doppler Effect
• Where have you heard of the term “Doppler”?
• Doppler Effect: a change in sound frequency (pitch) caused by the motion of the sound source, the listener, or both
• Why do we observe this?
• Doppler Effect animation
Hearing and the Ear
• Your ear has a membrane that vibrates when sound waves hit it…what is this membrane?
• The Ear animation
Hearing & the Ear
Ear consists of 3 main parts• Outer Ear – gathers and focuses
sound• Middle Ear – receives and amplifies
vibrations• Inner Ear – uses nerve endings to
sense vibrations and send signals to the brain
Reproduction of Sound
• What are some ways that sound is stored?
• How do you think sound is stored, and then played back?
Reproduction of Sound
• To record: sound waves must be converted into electronic signals that can be stored
• To reproduce: electronic signals are converted back into sound waves