C-15 Sound Physics

15.1 Properties of Sound If you could see atoms, the difference between high and low pressure is not as great. The image below is exaggerated to show effect.

The frequency of sound We hear frequencies of sound as having different pitch. A low frequency sound has a low pitch, like the rumble of a big truck. A high-frequency sound has a high pitch, like a whistle or siren. In speech, women have higher fundamental frequencies than men.

Complex sound Complex sound

Common Sounds and their Loudness

Loudness Loudness Every increase of 20 dB, means the pressure wave is 10 times greater in amplitude. Logarithmic scale Linear scale Decibels (dB)Amplitude , , , ,000,000

Sensitivity of the ear How we hear the loudness of sound is affected by the frequency of the sound as well as by the amplitude. The human ear is most sensitive to sounds between 300 and 3,000 Hz. The ear is less sensitive to sounds outside this range. Most of the frequencies that make up speech are between 300 and 3,000 Hz.

How sound is created How sound is created The human voice is a complex sound that starts in the larynx, a small structure at the top of your windpipe. The sound that starts in the larynx is changed by passing through openings in the throat and mouth. Different sounds are made by changing both the vibrations in the larynx and the shape of the openings.

A speaker is a device that is specially designed to reproduce sounds accurately. The working parts of a typical speaker include a magnet, a coil of wire, and a cone.

Recording sound 1. A common way to record sound starts with a microphone. 2. The microphone transforms a sound wave into an electrical signal with the same pattern of oscillation. 3. In modern digital recording, a sensitive circuit converts analog sounds to digital values between 0 and 65,536.

Recording sound 4. Numbers correspond to the amplitude of the signal and are recorded as data. One second of compact-disk-quality sound is a list of 44,100 numbers.

Recording sound 4. To play the sound back, the string of numbers is read by a laser and converted into electrical signals again by a second circuit which reverses the process of the previous circuit.

Recording sound 6. The electrical signal is amplified until it is powerful enough to move the coil in a speaker and reproduce the sound.

We know sound is a wave because: 1.Sound has both frequency and wavelength. 2.The speed of sound is frequency times wavelength. 3.Resonance happens with sound. 4.Sound can be reflected, refracted, and absorbed and also shows evidence of interference and diffraction.

Sound Waves A sound wave is a wave of alternating high- pressure and low-pressure regions of air.

The amplitude of a sound wave is very small. Even a loud 80 dB noise creates a pressure variation of only a few millionths of an atmosphere.

The wavelength of sound

The Doppler effect The Doppler effect The shift in frequency caused by motion is called the Doppler effect. It occurs when a sound source is moving at speeds less than the speed of sound.

The speed of sound The speed of sound The speed of sound in air is 343 meters per second (660 miles per hour) at one atmosphere of pressure and room temperature (21°C). An object is subsonic when it is moving slower than sound.

The speed of sound We use the term supersonic to describe motion at speeds faster than the speed of sound. A shock wave forms where the wave fronts pile up. The pressure change across the shock wave is what causes a very loud sound known as a sonic boom.

The speed of a sound wave in air depends on how fast air molecules are moving. The speed of sound in materials is often faster than in air.

Standing waves and resonance Spaces enclosed by boundaries can create resonance with sound waves. The closed end of a pipe is a closed boundary. An open boundary makes an antinode in the standing wave. Sounds of different frequencies are made by standing waves. A particular sound is selected by designing the length of a vibrating system to be resonant at the desired frequency.

Sound waves and boundaries Sound waves and boundaries Like other waves, sound waves can be reflected by surfaces and refracted as they pass from one material to another. Sound waves reflect from hard surfaces. Soft materials can absorb sound waves.

Fourier's theorem Fourier’s theorem says any complex wave can be made from a sum of single frequency waves.

Sound spectrum A complex wave is really a sum of component frequencies. A frequency spectrum is a graph that shows the amplitude of each component frequency in a complex wave.

Sound, Perception, and Music Sound, Perception, and Music A single frequency by itself does not have much meaning. The meaning comes from patterns in many frequencies together. A sonogram is a special kind of graph that shows how loud sound is at different frequencies. Every person’s sonogram is different, even when saying the same word.

 The brighter the sonogram, the louder the sound is at that frequency.

Hearing sound The eardrum vibrates in response to sound waves in the ear canal. The three delicate bones of the inner ear transmit the vibration of the eardrum to the side of the cochlea. The fluid in the spiral of the cochlea vibrates and creates waves that travel up the spiral.

Sound The nerves near the beginning see a relatively large channel and respond to longer wavelength, low frequency sound. The nerves at the small end of the channel respond to shorter wavelength, higher-frequency sound.

Music The pitch of a sound is how high or low we hear its frequency. Though pitch and frequency usually mean the same thing, the way we hear a pitch can be affected by the sounds we heard before and after. Rhythm is a regular time pattern in a sound. Music is a combination of sound and rhythm that we find pleasant. Most of the music you listen to is created from a pattern of frequencies called a musical scale.

Consonance, dissonance, and beats Harmony is the study of how sounds work together to create effects desired by the composer. When we hear more than one frequency of sound and the combination sounds good, we call it consonance. When the combination sounds bad or unsettling, we call it dissonance.

Consonance, dissonance, and beats Consonance and dissonance are related to beats. When frequencies are far enough apart that there are no beats, we get consonance. When frequencies are too close together, we hear beats that are the cause of dissonance. Beats occur when two frequencies are close, but not exactly the same.

Harmonics and instruments Harmonics and instruments The same note sounds different when played on different instruments because the sound from an instrument is not a single pure frequency. The variation comes from the harmonics, multiples of the fundamental note.

The intensity of a sound depends on the distance the observer is from the source of the sound. If the distance is doubled, the intensity of the sound will be ¼ of the original intensity. If the distance is tripled, the sound will be 1/9 the original intensity and so on. The relationship is: Intensity = Energy/ radius squared (I= E/r 2 )

 Parts of the wave. Wavelength, frequency, period, amplitude, node, antinode, etc.  T = 1/f or f= 1/T and V = λ f  Units (T) seconds and (f) Hz and λ – meters  Transverse vs. longitudinal waves  Mechanical vs. Electromagnetic  Loudness, pitch, intensity, freq. range for humans,  Interference (cons. and dest.) results and 4 interactions with barriers/boundaries  And………  Waves are how energy is transferred (moved)