Waves and Sound
Waves and Sound
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Acoustics is the science of sound.
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Sound Wave is a mechanical wave generated by vibrating objects in an elastic medium.
Medium: Air, solids, and liquids can transmit sound waves.
Misconception: Radio waves are electromagnetic waves, not sound waves.
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Speed of Sound varies with the medium.
Air: Speed increases with temperature.
Equation: Vsound = 331.5 m/s + (0.6 x Temp)
Speed: Air = 343.5 m/s, Water = 1482 m/s, Steel = 5960 m/s
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Temperature and Sound Speed: Sound moves faster in warmer air.
Equation Example: Vs = 331.5 m/s + (0.60 T)
Calculations: Room temperature (20.0ºC) = 343.5 m/s
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Frequency and Source: Frequency and period of a sound wave depend on the source's properties.
Natural Frequency: Each source has a unique natural frequency.
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Wavelength: Depends on wave speed and period.
Equations: Vsound = f x λ or Vsound = λ T
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Wavelength and Frequency: Inversely related when speed is constant.
Relation: Low Frequency = High Wavelength, High Frequency = Low Wavelength
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Wave Interference: Occurs when two waves meet.
Constructive Interference: Adds up amplitudes.
Sound Example: Louder sound produced.
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Destructive Interference: Waves cancel out.
Sound Example: Softer sound produced.
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Beats: Interference of sound waves with slightly different frequencies.
Result: Creates louder or softer sounds.
Formula: fbeat = f1 – f2
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Echoes: Sound wave reflection off a boundary.
Factors: Speed of sound, distance, and time.
Equations: distance = Vsound x 2, time = 2
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Solving Echo Problems: Finding distance and time.
Scenarios: Given time or distance to find the other.
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Echo Problems Examples: Calculations involving speed of sound.
Scenarios: Man yelling towards a building, dolphin sending sound waves.
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Sound Waves in Air: Velocity determined by air properties.
Standard Speed: 343.5 m/s
Frequency Determination: Vsound = λ f
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Sound Waves in Air: Using standard speed for calculations.
Calculations: Wavelength, distance, frequency of sound waves.
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Resonance involves two sets of frequencies in the source
Object vibrates at its natural frequency when disturbed
Natural frequency depends on object's physical properties
Forced vibration occurs when object vibrating at natural frequency is disturbed
Two disturbances combine similar to interference
Vibrations add together if in the same direction, cancel out if in opposite directions
Resonance occurs when forced vibrations match natural vibrations
Vibrations add together to create larger amplitude
Amplitude continues to increase until system breaks under strain
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Tacoma Narrows Bridge collapsed due to resonance from vortex shedding caused by wind
Wind forced the bridge to sway at its natural frequency
Amplitude of swaying increased until the bridge tore apart
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Sound waves are longitudinal waves created by air molecules forming high and low-pressure areas
Intensity is a measure of the power of a wave in a specific area
Threshold of Hearing is the lowest intensity audible
Threshold of Pain is the highest intensity without causing ear damage
Decibel is the unit of sound, a difference in intensity that is "just noticeable"
Loudness is a combination of frequency and intensity perceived by humans
Humans perceive different frequencies differently
Example: 4000 Hz sound wave perceived louder than 100 Hz at the same intensity
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Decibel scale is logarithmic, 10 dB increase is 10 times greater intensity
Normal conversation is about 60 dB, busy street traffic is about 70 dB