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All waves are traveling disturbances which carry energy from place to place.
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Transverse waves the disturbance is perpendicular to the direction of travel of the wave.
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Longitudinal waves the disturbance is parallel to the direction of travel of the wave.
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Periodic waves have repeating patterns
Periodic waves have repeating patterns. One cycle is one complete motion of a particle.
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The amplitude is the maximum displacement of a particle from the rest position.
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The wavelength λ is the horizontal length of one cycle.
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The period T is the time required for one complete cycle.
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The frequency f is the number of cycles per one second.
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Frequency and period are reciprocals. f = 1/ T v = λ / T = f • λ
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Ex 1 - An AM station broadcasts at a frequency of 1230 kHz and an FM station broadcasts at mHz. What are the wavelengths of these two stations?
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The compressed area in a longitudinal wave is called a compression
The compressed area in a longitudinal wave is called a compression. The area where particles are further apart is called a rarefaction.
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A sound with a single frequency is a pure tone
A sound with a single frequency is a pure tone. Most healthy people hear in a range of 20 Hz to Hz (20 kHz).
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Frequencies below 20 Hz are infrasonic, those above 20 kHz are ultrasonic.
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Our brain interprets frequency as pitch.
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When sound travels through a long, slender solid bar, the speed v is:
When sound travels through a long, slender solid bar, the speed v is: v = √ Y/ρ Y is Young’s Modulus and ρ is density.
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The power of a sound wave is measured in watts W
The power of a sound wave is measured in watts W. The intensity I of a wave is the power per unit area, W/ m2.
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Ex x 10-5 W of sound power passes perpendicularly through two surfaces; one of area 4.0 m2 and the other of area 12 m2. Find each sound intensity.
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10-12 W/m2 is the threshold of hearing. (for humans)
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For spherically uniform radiation of sound: I = P/ 4πr2.
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The intensity level β(in decibels) is defined as follows: β = 10 log(I/I0)
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0 decibels means the sound intensity is at the threshold of human hearing, not that the intensity is zero.
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Doppler Effect - apparent change in pitch when a sound maker or listener are moving with respect to each other.
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Source moving toward stationary listener:
Source moving toward stationary listener: f’ = f[ 1/(1 - vs/v)] Source moving away from stationary listener: f’ = f[ 1/(1 + vs/v)]
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listener moving toward stationary source:
listener moving toward stationary source: f’ = f(1 + vO/v) listener moving away from stationary source: f’ = f(1 - vO/v)
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Chapter 17 The Principle of Linear Superposition - When two or more waves are present at the same time at the same place, the resultant wave is the sum of the individual waves.
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When waves are in phase they produce constructive interference
When waves are in phase they produce constructive interference. When they are out of phase they produce destructive interference.
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Diffraction is the bending of a wave around an obstruction or the edges of an opening.
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When tones of two different frequencies are produced beats are heard where constructive interference takes place.
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The beat frequency is the difference between the two frequencies.
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In a transverse standing wave pattern, the nodes are places that do not vibrate at all, and antinodes vibrate with maximum amplitude.
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The distance between two successive nodes in a standing wave pattern is one-half a wavelength.
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Integer multiples of a frequency are harmonics and frequencies above the fundamental are overtones.
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