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Particle oscillation is perpendicular to wave propagation
ex. Light waves |
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Particle oscillation is parallel to the wave propagation
ex. Sound waves |
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Principle of Superposition |
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When two waves interact it causes the resultant wave to have an amplitude equal to the sum of the 2 waves |
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Constructive Interference |
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When 2 waves are perfectly in phase (0o or 360o) the resulting amplitude is 2x the amplitude of the waves |
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When 2 waves are perfectly in phase (180o) the resulting amplitude is zero since the amplitude of the waves will cancel each other out |
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How does sound waves change as they pass through different mediums? |
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Sound travels fastest through a solid and slowest through a gas |
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fo=fs(v±vov∓vs)
f =fo(v±vdv∓vs)
:where fo is the emitted frequency |
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Sign Convention of Doppler Effect Equation |
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If object is moving away from the other object: Use bottom sign
If object is moving towards other object: Use top sign |
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Β=10 log(I/Io) :where Io is the threshold of hearing with a value of 1e-12 W/m2(dB) |
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Change in Sound Level Equation |
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Length of Standing Waves: Strings |
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L=n(λ/2): where n is the harmonic number (#of antinodes/half-wavelengths) |
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Wavelength of Standing Waves: Strings |
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Wavelength of Standing Waves: Strings |
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λ=2L/n :where n is the harmonic number (# of antinodes/half-wavelengths) |
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Frequency of Standing Waves: Strings |
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f=nv/2L :where n is the harmonic number (# of antinodes/half-wavelengths) |
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Length of Standing Waves: Open Pipes |
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L=n(λ/2) :where n is the harmonic number (# of nodes/half-wavelengths) |
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Wavelength of Standing Waves: Open Pipes |
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λ=2L/n :where n is the harmonic number (# of nodes/half-wavelengths) |
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Frequency of Standing Waves: Open Pipes |
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f=nv/2L :where n is the harmonic number (# of nodes/half-wavelengths) |
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Length of Standing Waves: Closed Pipes |
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L=n(λ/4) :where n is the harmonic number and can only be odd number |
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Wavelength of Standing Waves: Closed Pipes |
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λ=4L/n :where n is the harmonic number that can only be odd numbers |
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Frequency of Standing Waves: Closed Pipes |
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Definition
f=nv/4L :where n is the harmonic number that can only be odd numbers |
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