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    Chapter 16

    Sound

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    Sound Waves•

    Sound is longitudinal pressure(compression) waves

     Range of hearing: 20 ! to 20"000 !FREQUENCY DEMO

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    Speed of Sound

    Liquids and Gases: B is bulkmodulus, is mass!olume

    Solids: Y is Youn"#s modulus

    $$% ms is !  a& '( C)* is &+e absolu&e &eme-a&u-e.

    v =   B ρ 

    v =  Y 

     ρ 

    vair  = (331 m

    s

    )  T 

    273 K 

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    #$ample 16%1/o+n B-o0n +i&s a s&eel -ail-oad -ail 0i&+ a +amme-.

    Be&s1 B-o0n, s&andin" one mile do0n &+e &-a2k, +ea-s&+e ban" &+-ou"+ &+e 2ool $3

    °

    F ai- 0+ile +e- &0insis&e- Boosie is l1in" ne4& &o +e- and +ea-s &+e ban"&+-ou"+ &+e s&eel b1 la2in" +e- ea- on &+e &-a2k.

    D5*5: Ys&eel63.'4%'%% 7a, s&eel689' k"m$

    ;+a& is &+e &ime di

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    &ntensit' of Sound Waves

    S? uni&s a-e ;m3

    7o0e-

    5-ea

    ?n&ensi&1 is -oo-&ional &o squa-e

    o< amli&ude @-essu-e modula&ionA

     I  =   ∆ E  A ∆t 

    =  P A

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    &ntensit' Range for uman earing

    *+-es+old o< ea-in"• %'%3 ;m3•  7 %'%' a&m

    *+-es+old o< 7ain• %.' ;m3

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    eciel ScaleSensa&ion is lo"a-i&+mi2

    • ?' is &+-es+old o< +ea-in"  @' dBA• *+-es+old o< 7ain is  &+e-e

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    &ntensit' vs% &ntensit' *evel• ?N*ENS?*Y  is 75, ;m3 • ?N*ENS?*Y LEFEL  is in de2ibels @dimensionlessA

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    Sound *evel emo

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    #$ample 16%2

    + nois' machine in a factor' produces a soundwith a level of ,0 d-% ow man' machines

    can the factor' house without e$ceeding the100.d- limit/

    aA %3. ma2+inesbA 3' ma2+ines

    2A %'' ma2+ines

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    Spherical Waves

    #nerg' propagates

    euall' in alldirections

    ⇒ I  =  P

    4π r 2

     I 1

     I 2

    = r 2

    2

    r 12

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    #$ample 16%

    + train sounds its horn as it approaches anintersection% he horn can 3ust e heard at alevel of 40 d- ' an oserver 10 5m awa'%

     reating the horn as a point source and neglect

    an' asorption of sound ' the air or ground"

    a) What is the average power generated ' thehorn/

    ) What intensit' level of the horns sound is

    oserved ' someone waiting at an

    aA %3 ;

    bA H dB

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    #$ample 16%7

    BoIo Bob bu1s a 3'; &-ain 0+is&le and

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    oppler #8ect

    5 2+an"e in &+e

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    oppler #8ect" 9oving server

    ;+en no& mo!in",

    ;+en mo!in", 

    Fig 14.8, p. 435

    Slide 12

     f  = v λ 

     f  ' = (v + vobs ) λ 

    ƒ' = ƒ  v + vo

    v

     

     

       

      

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    &f oserver moves awa':

    Fig 14.9, p. 436

    Slide 13

    ƒ' = ƒ  v − vo

    v

      

         

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    #$ample 16%4

    Ma-1 is -idin" a -olle- 2oas&e-. e- mo&+e- 0+o is

    s&andin" on &+e "-ound be+ind +e- 1ells ou& &o +e- a& a$ msA

    ;+a& is Ma-1#s seed=

    38.> ms

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    oppler #8ectSource in 9otion

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    oppler #8ectSource in 9otion

    λ ' = λ  − vsT 

    = λ  − vsλ 

    v= λ  1− vs   v( )

     f  ' =  vλ '

     f  ' =   f   v

    v − vs

     

    ′λ

    λ 

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    oppler #8ect" Source in 9otion

    5-oa2+in" sou-2e:

    Sou-2e lea!in":

     f  ' =   f   v

    v − vs

     f  ' =   f   v

    v + vs

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    #$ample 16%6

    5n &-ain +as a b-ass band la1in" a son" on a ms, a e-son on&+e la&

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    Shoc5 Waves (Sonic -ooms)

    ;+en &+e sou-2e !elo2i&1 a-oa2+es &+e seed o< sound,

    Fig 14.11, p. 439

    Slide 15

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    +pplication: speed radar

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    +pplication: weather radar 

    Bo&+ +umidi&1 @-e

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    oppler #8ect:-oth server and Source 9oving

    S0i&2+ a-o-ia&e si"ns i< obse-!e-o- sou-2e mo!es a0a1

    ƒ'  = ƒ   v ± vov ± vs

      

       

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    #$ample 16%;

    +t rest" a cars horn sounds the note +(770 !)% he horn is sounded while thecar moves down the street% + ic'clistmoving in the same direction at 10 m

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    #$ample 16%,c

    5 &-ain +as a 0+is&le 0i&+ a

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    >R

    • 16% 1.4? 16.1? 16.,? 16.77.7;