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Apr 09, 2018

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    Name Period Date

    CONCEPTUAL PHYSICAL SCIENCe EXPLORATIONSChapter 13 Waves and SoundVibrations and, Waves

    L A sine curve that represents a transverse wave is drawn below. With a ruler, measure the wave-length and amplitude of the wave.

    a.Wavelength ="~ , . ' >

    b. Amplitude = _,LJ!__;__..:!!(.!!L~2. A kid on a playground swing makes a complete to-and-fro

    ~,...~s.econds. The frequency of swing is(1 hertz) (2 hertz)

    the period isC O , S second} (lsecond)

    3 , C om plete th e sta te me nts.

    A M A R IN E WE AT HE R S TA TIO N R EP OR TSW AVES ALONG THE. SHORE THAT AREe SECOHOS APART. !He FREQuENCY0 1 = THE W AVES IS THR FOR e- _ . . . . . : ' ' : - I - . . . . . _ ; " , - - HERTZ .

    4. The annoying sound from a mosquito is produced when it beats its wings at the averagerate of 600 wingbeats per second.

    \(a. What is the f r o equency ofthe sound wafl?. (,t)O 2b. What is the wavelength? (Assume the speed of sound is 340 m/s.)

    49

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    Vibrations and Waves continued:5. A rapid-fire pellet gun fires 10 rounds per seco~

    The speed of the pellets is 300 m/s. ~ - i l la. What is the distance in the air between the flying pell~ts!' 3 --=0b. What happens to the distance betw en the pellets if the rate of fire is increased?

    6. Consider a wave generator that produces 10 pulses per second. The speed of the waves is300 em/s.a. What is the wavelength of the waves?b. What happens to the wavelength if the frequency of pulses is increased?

    . ~Or~f!r7. The bird at the right watches the waves. Ifthe portion of a wave between 2 crests passes the poleeach second, what is the speed of the wave?, *''s,

    What is its period? I s8. If the distance between crests in the f .

    above question were 1.5 meters apart, V~ .Ie '- .and 2 crests pass the pole each second, "what would be the speed of e wave!'What would be its period!'lS

    9, When an automobile moves toward alistener, the sound of its horn seemsrelatively

    (low pitched) (normal)

    and when moving away from the listener,its hom seems(normal)

    (wave speed)

    50

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    6. ves travel fastest in,-----,. (liquids) (gases)(...same speed in each) ,

    8.(will)

    (the swing will be"pushed twice as often in the right.direction)C~:~:::::~~ ..9. The frequency of the tuning fork is 440 h~rtz. Itwill NOT be forcedinto vibration "bya sound of~~ "

    (220 hertz) (440 hertz)~

    10.Beats are the result ~f ~hea)t _ ~a~ICeli.'i"".n~[cement of two sound waves of, (the same frequenc (slightly different frequencies)" .

    ~~~ __ --;;;:,;:o:;,""";'='ri";I;S",,-;;....~~-;r~;lii&~i~~';;0''';''''_-....:j.-'.!:"';'~

    \I11.Two notes with frequencies of 66 and 70 Hz are .\(sound ogether. The resulting beat frequency is'v'.~,....(68 hertz) (136 hertz)

    12.The accepted value for the speed of sound in air is 332 m/sat OC.The speed of sound in airincreases 0.6 m/s for each Celsius degree above zero. Compute the speed of sound at thetemperature of the room you are now in.

    eone.ptu~JI""!iI~!i ~Addison-Wesley Publishing Company Inc. All r ights reserved.78

    . "'

    . ,

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    C I

    Name ---:- Period Date _

    1.

    ,2. The frequency of a sound signal refers 'to how frequently thevibrations occur, A high-frequency sound is heard at , a , high .

    (wavelength) (speed)

    3. The sketch below shows a snap shot of the compressions and rarefactions of fhe. air in a tube' asthe sound moves toward the right. The dots re.present molecules. With a ruler the' wavelengthof the sound wave is measured to be ~ cm. CIf ~~ .~ .~~ .~~.~ . ~ = = . = = ~ ~ ~ . ~ ~ ~ ~ t ~. .~ . = = = = = = ~ . ~ . ~ : ~ , ~ ; =. .~ = = ~ . = . ~ ~ ; ~ I ; ~ ~ . ~ . = = = = . = = . ~ t 7. .~. .~ : . = = . = = . ~

    , : t ' ' ' : . . . . . . . . "~.I,,~" .., ,":..':~.:. II - . . : . :. '. ,. . . : . . . . . . . . _ _t . . . . . . . . . \ . : . . . . . . . . . . : ....., .' .. ..~:I! ....".'1"- r " ,. ,I. . . . t t _ t..-. , ., ...."... .' ,.. -.":,:. ,.. - I t " : .,.., . I' :..,':.... . : , : ! : ' . ' ~ . c . t " " E : . , , : It . ,

    . 4. Compared to the wavelengths of high-pitched sounds. the wavelengths of low-pitched(short)

    I

    5. Suppose you set your watch by the sound of the noon whistle from a factory 3 krn away,

    b. Itwill differ from the correc(3 seconds) (6 seconds) .

    ~~~~PHV5/CS--------~------------~----~Addison-Wesley Publishing Company Inc. All r ights reserved. 77

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    I': .

    I!;:", .; .....'.--i Exercise 4: At a country music festival inNew Hampshire, the Oak-Ridge Boys are playingat the end of a crowded l84-m field when Ronny Fairchild hits a note on the'keyboard that has a frequency of 440. Hz. a).How many full wavelengths are.there between the stage and the last row of the crowd? b) How much delay isthere between the time a note is played and the time it is heard inthe last row?

    )"OeM~ ... ' , ". ~ . W < > " 1 i - O:nM ) 1 , 4 . . . - 2 3 1 L;_~S v.{: ~x'1 4 # 0 ~ r f~~~~~0;5 "O.~t~ V 34DA-l: Find the wavelength of the ultrasonic wave emitted by a bat if ithas afrequency of 4.0 x 1()4Hz.. "

    V '40-6A ' ; { '~ ~o~o ~ D ,'0 < 1 " ~

    fngth o f a B note (frequency 494 Hz) played a) by a flute?~,sax play the same note, which of the followmgwlll be,pitch, or loudness?

    Exercise 12: Aaron blows across the opening of a partially filled 20.0-cm-high soft drinkbottle and finds that the air vibrates with a fundamental frequency of 472 Hz.How high is the liquid in the bottle? '- . ( ~ ~ ~ ~[o ~ /s . , D. 1 - ? w ..J~:J,b e J w e . U 1 . F t:(f'U Ioz. ,~ ~o~t- ~ o;..' J : f l O J e . . $,1'2- ... LO (,.'M. - / ' i s { ~ a . . . . .

    ~~'l j : : - - - V , I < t ~ : : : 2 ( . . . . , . . W 0-4/\ 4 , ... . .A-6: Karen flies a motorized toy airplane with a frequency of 200.Hz ina circle witha speed of 18.0 m/ s. Caroline stands nearby and hears a Doppler shift as theplane approaches and recedes from her. WI. '''r the a) highest and b) lowestfrequencies Caroline hears} O( .t .. v r? tJ\.\tA D ' .~ _

    I...j~(~ t " , k . . . , ~ f1 ~ " e , ~> l - . e . J ~J h > "".,..I k r . IVjl.t!I . . . . e.)~ .J,.oA" " ( o;v'''-'i ( } . " " l . . v I.,.,t;\ lOt

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    E~ample 8: Inhis physics lab, Sanjiv finds that he can take a long glasstube and fill it with water, using the air space at the top tosimulate a pipe closed at one end. If Sanjiv holds a tuningfork, which vibrates with a fundamental frequency of 440 Hz,over the mouth of the pipe, how long is the air column if itvibrates at the same frequency? .V ~ ~qD j . . A 1 _ . s .A ~ . ( 2 - ~Ih ' ;: D . +T.v .

    I e < \ ~ t t . . 0 ~ tl ( 1 9 .HM) 00 .)13 '"

    \//~

    Exercise 7: One way to t~ll ~ a m_osquito is about to sting is to listen for the Doppler shiftas the mosquito IS f lymg. The buzzing sound of a mosquito's wings is emittedat a frequency of 1050Hz. a) Ifyou hear a frequency of 1034 Hz, does this meanth~t the mosq~t? is ~oming in for a landing or that it has just bitten you and isflying away? ttl!"J\,,~ o . . v J o . . , )

    ".

    Exercise 10: Melody puts a fret on her guitar string, causing it to vibrate with afundamental frequency of 250 Hz as a wave travels through at 350m/s.a) How longis the guitar string from the lower fixed end to the fret? b) How farand in which direction must the fret be moved inorder to produce a .fundamental frequency that is twice as high (i.e., one octave higher!?

    h f : : - $'00 H 1 -~~~;: 0,+~

    l)oot-h.1 ~E>~ :0. '35~.Exercise 13: A red-headed piano tuner from Chicago is tuning the Bentz' piano when hediscovers that the G above middle C is vibrating with a higher frequency thanhisG tuning fork, which vibrates at 392~OHz.He plays the piano key andtuning fork 'at the same time and hears a beat frequency of 2.0 Hz. What is the

    frequency of the.C on the Bentz' piano? .. r : , : > 12Hz~ :- f b v + - k t'3 lv fl,. ..~