Sound Intensity Nov 2012

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    The Doppler Effect

    A source emits a sound of constant frequency. If theapparent frequency of the source is increased which ofthe following is true?

    A. the source is moving toward you and you are stationary

    B. the source is stationary and you are moving toward it

    C. either A or BD. neither A nor B

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    The Doppler Effect

    A source emits a sound of constant frequency. If theapparent frequency of the source is increased which ofthe following is true?

    A. the source is moving toward you and you are stationary

    B. the source is stationary and you are moving toward it

    C. either A or BD. neither A nor B

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    Sound Intensity: Learning Goals

    The student will be able to explain how theintensity of a sound wave is expressed and varieswith distance from a source. (E2.1, E3.6)

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    Sound Intensity

    3U Physics

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    Energy and Amplitude

    The amplitude of a wave depends upon theamplitude of the vibration at the source:

    the more work done to displace the medium atthe source, the more energy the wave will carry.

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    Intensity

    The rate at which energy is transported past agiven area of the medium is known as the

    intensity of the sound wave.

    IntensityEnergy

    Area Time

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    Intensity

    And since energy/time = power:

    Intensity

    Energy

    Area Time

    Power

    Area

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    Intensity

    And since energy/time = power:

    The units of intensity are W/m2.

    Intensity

    Energy

    Area Time

    Power

    Area

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    Intensity and Area

    As a wave carries its energy through a 3D medium, theintensity of the wave decreases with increasing distancebecause energy is being distributed over a greater

    surface area.(Energy, remember, is conserved.)

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    Intensity and Area

    The mathematical relationship betweenintensity and distance is an:

    inverse square relationship.

    i.e., if the distance from the source is

    doubled (increased by a factor of 2),then the intensity is decreased by afactor of 22, or 4.

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    Intensity and Hearing

    Humans are equipped with very sensitive ears capable ofdetecting sound waves of extremely low intensity, as

    faint as 110-12 W/m2.

    http://en.wikipedia.org/wiki/Image:Studearring.JPG
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    Intensity and Hearing

    Humans are equipped with very sensitive ears capable ofdetecting sound waves of extremely low intensity, as

    faint as 110-12 W/m2.

    (This intensity corresponds to a pressure wave in which acompression increases the air pressure by a mere 0.3 billionths of

    an atmosphere, or (in terms of amplitude) a wave in which the

    particle displacement is a mere one-billionth of a centimetre.)

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    Intensity and Hearing

    Humans are equipped with very sensitive ears capable ofdetecting sound waves of extremely low intensity, as

    faint as 110-12 W/m2.

    (This intensity corresponds to a pressure wave in which acompression increases the air pressure by a mere 0.3 billionths of

    an atmosphere, or (in terms of amplitude) a wave in which the

    particle displacement is a mere one-billionth of a centimetre.)

    This is known as the threshold of hearing (TOH).

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    Intensity Scale

    The most intense sound whichthe ear can safely detect

    without suffering any

    physical damage is morethan one billion times moreintense.

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    Intensity Scale

    The most intense sound whichthe ear can safely detect

    without suffering any

    physical damage is morethan one billion times moreintense.

    Physicists therefore often use a

    logarithmic scale (based onpowers of 10) for intensity:

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    Intensity Scale

    The most intense sound whichthe ear can safely detect

    without suffering any

    physical damage is morethan one billion times moreintense.

    Physicists therefore often use a

    logarithmic scale (based onpowers of 10) for intensity:the decibel (dB) scale.

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    Decibels

    The threshold of hearing (110-12 W/m2) is assigned asound level of 0 dB.

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    Decibels

    The threshold of hearing (110-12 W/m2) is assigned asound level of 0 dB.

    A sound (e.g. the sound of rustling leaves) which is 10

    times more intense (1

    10-11

    W/m2

    ) is assigned a soundlevel of 10 dB.

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    Decibels

    The threshold of hearing (110-12 W/m2) is assigned asound level of 0 dB.

    A sound (e.g. the sound of rustling leaves) which is 10

    times more intense (1

    10-11

    W/m2

    ) is assigned a soundlevel of 10 dB.

    A sound (e.g. a whisper) which is 1010 or 100 timesmore intense ( 110-10 W/m2) is assigned a sound level

    of __ db.

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    Decibels

    The threshold of hearing (110-12 W/m2) is assigned asound level of 0 dB.

    A sound (e.g. the sound of rustling leaves) which is 10

    times more intense (1

    10

    -11

    W/m

    2

    ) is assigned a soundlevel of 10 dB.

    A sound (e.g. a whisper) which is 1010 or 100 timesmore intense ( 110-10 W/m2) is assigned a sound level

    of 20 db.

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    Decibels

    The threshold of hearing (110-12 W/m2) is assigned asound level of 0 dB.

    A sound (e.g. the sound of rustling leaves) which is 10

    times more intense (1

    10

    -11

    W/m

    2

    ) is assigned a soundlevel of 10 dB.

    A sound (e.g. a whisper) which is 1010 or 100 timesmore intense ( 110-10 W/m2) is assigned a sound level

    of 20 db.A sound which is 101010 or 1000 times more intense(110-9 W/m2) is assigned a sound level of __ db.

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    Decibels

    The threshold of hearing (110-12 W/m2) is assigned asound level of 0 dB.

    A sound (e.g. the sound of rustling leaves) which is 10

    times more intense (1

    10

    -11

    W/m

    2

    ) is assigned a soundlevel of 10 dB.

    A sound (e.g. a whisper) which is 1010 or 100 timesmore intense ( 110-10 W/m2) is assigned a sound level

    of 20 db.A sound which is 101010 or 1000 times more intense(110-9 W/m2) is assigned a sound level of 30 db.

    Etc.

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    Decibels

    If one sound is 10xtimes more intense than anothersound, then it has a sound level which is 10xmoredecibels than the less intense sound.

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    Decibels

    If one sound is 10xtimes more intense than anothersound, then it has a sound level which is 10xmoredecibels than the less intense sound.

    Example: A mosquito's buzz is often rated with a decibelrating of 40 dB. Normal conversation is often rated at60 dB. How many times more intense is normalconversation compared to a mosquito's buzz?

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    Decibels

    If one sound is 10xtimes more intense than anothersound, then it has a sound level which is 10xmoredecibels than the less intense sound.

    Example: A mosquito's buzz is often rated with a decibelrating of 40 dB. Normal conversation is often rated at60 dB. How many times more intense is normalconversation compared to a mosquito's buzz?

    Answer: 100 times.

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    Decibels

    Another Example: Someone standing 1 m awayfrom a busy street measures the decibel level ofthe traffic to be 70 dB. What level would they

    measure if they were standing 10 m away?

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    Decibels

    Another Example: Someone standing 1 m awayfrom a busy street measures the decibel level ofthe traffic to be 70 dB. What level would they

    measure if they were standing 10 m away?

    Answer: 50 dB. (Ten times further away, theeffective area over which the sound must travel

    is increased by 100, thus decreasing the intensityby a factor of 100, or 20 dB.)

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    Loudness

    Note that sound intensity is an objective quantity, butloudness is a subjective response which will vary with,for example, frequency.

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    Intensity

    High intensity sound wavesthat have largeamplitudes will result in

    large-amplitudevibrations in the ear . . .which can damage theear, especially the

    sensitive hair cells of thecochlea.

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    How Loud is Too Loud?

    Regular exposure to 110 dB formore than a minute -- or to 100dB for more than 15 minutes --

    risks permanent hearing loss.Prolonged exposure to any noise

    above 85 dB can cause gradualhearing loss.

    Most MP3 players have amaximum volume setting equalto about 105 dB.

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    Just Say No to Earbuds

    Earbud headphones can be the most destructiveto hearing since

    (a) they do not filter out external sounds, causingthe listener to increase the volume, and

    (b) they are positioned very close to the eardrum.

    Remember

    IntensityPower

    Area

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    More Practice

    Decibel Lab Activity

    Homework: Sound Intensity