Exam 3 Flashcards
Sound describes
A longitudinal mechanical wave
Sound can’t travel in the absence of
Matter
Speed of sound
The speed of sound is different depending on the material the sound is traveling through. The speed somewhat depends on the temperature
Loudness
Related to the intensity (energy per unit time crossing unit area) in the sound wave
Pitch
Refers to whether the sound is high or low. Frequency determines pitch- the higher the frequency, the higher the pitch.
Audible frequency
20-20,000 Hz, the frequency range that human ears can respond to
Ultrasonic
Waves with frequencies above 20,000 Hz
How are sound waves analyzed based on pressure?
Longitudinal waves are also called pressure waves. Pressure variation can be measured more easily than displacement. In a wave compression where the molecules are close together, pressure is higher than normal. In an expansion (rarefaction) the pressure is less than normal.
Infrasonic waves
Waves less than 20 Hz, or below the audible frequency. Earthquakes are an example. They can cause damage to the human body even though they are inaudible.
Intensity of sound
Defined as the energy transported by a wave per unit time across a unit area perpendicular to the energy flow. Intensity is proportional to the square of the wave amplitude and to the square of frequency. It is inversely proportional to the square of the radius. What we perceive as loudness is not directly proportional to the intensity.
Units of intensity
Decibels- the scale is logarithmic due to the relationship between intensity and loudness.
Sound level
Symbolized by beta- defined in terms of intensity, so units are also decibels. The sound level at the threshold of hearing is 0 dB, so 0 decibels doesn’t equal 0 intensity
Loga-logb equals
Log (a/b)
How does loudness or intensity change the further you get from a sound?
Loudness or intensity decreases the farther you get from a sound. Over long distances, intensity outdoors decreases faster than 1/r squared because some energy is transferred into irregular motion of air molecules. This loss happens more for higher frequencies, so low frequencies are more audible at a distance
How is intensity related to amplitude?
Intensity is proportional to the square of amplitude. It is also proportional to the square of frequency
Speed of sound in air
343 m/s
How does the material affect the speed of sound?
Sound moves slowest in gases and fastest in solids
In what ways do musical instruments produce sound?
Vibrating strings, vibrating membranes, vibrating wood or metal shapes, and vibrating air columns. These vibrations can be produced by plucking, striking, bowing, or blowing.
Acoustic instruments produce sound via
Resonance of standing waves. In instruments like the piano and string instruments, the frequency at which strings vibrate is the same frequency of the sound produced. In wind instruments, sound is produced by the vibrating air column at resonance within the instrument.
Resonant frequency
A natural frequency of vibration determined by the physical parameters of the vibrating object. An object can have multiple resonant frequencies. This is also the frequency at which standing waves are produced in an object
Fundamental frequency
Also called the first harmonic. The lowest resonant frequency that determines the pitch. Corresponds to one antinode (loop) of a standing wave.
Harmonic
An integer (whole number) multiple of the fundamental frequency of a vibrating object. The second harmonic is the first overtone and has twice the frequency of the fundamental.
Overtone
Refers to any resonant frequency above the fundamental frequency - an overtone may or may not be a harmonic. Overtones and harmonics are higher frequency standing waves- they are integer multiples of the fundamental frequency. The second harmonic is the first overtone
String vibration in a string instrument
In stringed instruments, both ends of the vibrating strings are fixed. These fixed locations serve as displacement nodes. The whole string vibrating up and down corresponds to a half wavelength, so the wavelength of the fundamental on the string is equal to twice the length of the string.
Frequency and harmonics in a string instrument
The lowest frequency of resonance is at the fundamental frequency. All other harmonics are at the multiples of the fundamental frequency
How does fingering a string change the frequency?
Fingering a string makes the wavelength shorter, so the frequency is higher. Strings have the same length, but vibrate at a different frequency because they have a different mass per unit length- this effects the velocity of the string
Tube open at both ends
This describes wind instruments. It has pressure nodes and therefore displacement antinodes at the ends. A tube with both ends open has a higher frequency because the wavelength is shorter
Tube closed at one end
Describes some organ pipes. Has a displacement node (and pressure antinode) at the closed end because the air is not free to move.
Tube closed at both ends
This would be useless as an instrument because there’s no contact with open air
Interference
Caused by two or more waves passing through the same region of space simultaneously. Sound waves interfere the same way that other waves do in space
Beats
Waves cause a phenomenon called beats when they interfere in time. Beats are the slow envelope around two waves that are relatively close in frequency. It creates regularly spaced changes in the intensity of sound as the waves are sometimes in phase and sometimes out of phase due to different wavelengths
Doppler effect
When the source of sound is moving toward an observer, the pitch the observer hears is higher than when the source is at rest, and when the source moves away, the pitch is lower. Requires relative motion of the source or observer
Mechanical waves
Oscillations of matter, like water waves and waves on a rope. Waves carry energy from one place to another
Each molecules in a wave oscillates around
An equilibrium point. An object on top of a wave is not carried forward, but moves around an equilibrium point with the motion of the wave.
Pulse
A single wave crest
Continuous/periodic wave
A wave that has an oscillating or vibrating source. The vibration propagates outward and constitutes the wave
Amplitude
The maximum height of a crest or depth of a trough, relative to the level of equilibrium.
Wavelength
The distance between 2 successive crests. Also the distance between 2 successive identical points on the wave
Frequency
The number of crests (complete cycles) that that pass a given point per unit time
Period
The time elapsed between 2 successive crests passing by the same point in space, equals 1/f
Wave speed
The speed at which wave crests move forward