wave_examples

# wave_examples - P 426#5 Wave function is y(x,t...

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Unformatted text preview: P 426 #5: Wave function is y(x,t) = (O.350)sin(101T t - 3W x +TT / 4) in Si Units. (a) What is speed and direction of travel? (b) What is Waring element at t = 0 and x = 0.100 m? (c) What are the wavelength and frequency? (d) What is the maximum transverse speed of a string element? w? 3, gun‘s) 3 0.294 524 (/Orrt~ 3%} *g) 4 62+ «bk :3) w; IO/T k;3”»44/ﬂ7. (a) a3 (,1 fag/(«52512 was; [~4c/gq58 710 [Fe/J ﬂLmﬁ CW\$M' ﬁZA/aye Mar“ ﬂ/éﬂf ;) TWX . -W ;/ 51"”e' ’V’ 4: 0%, : 6'33 ’45. (5) 4+ {=0} aoQ travm. at (0.50) : (7.3m 5/‘4(’3J[o"”) + rail/’1 C 0’35“ 5’4 (“OR/7+ Orzrrr) 3 “Q'af¢5/m- ‘1» of?» 3% e 3 7x) N “in i \ H g x 46%», M +60 P 426 #5: Wave function lSy x t = 0.350 sin(10TT t — 3n x +1'r / 4) in SI Units. (3) What is speed and direction of travel? (b) What is vertical position of string element at t = 0 and x = 0.100 m? (c) What are the wavelength and frequency? (d) What is the maximum transverse speed of a string element? (yo M: afar); @404le4) M yam: ﬂwcﬂrﬂmx M7721; T W . 3 //.O Look'? A” Q/Qx/e an,/,W ﬂ/m [4/0, 442% Ctr/M A transverse sinusoidal wave has period 7:25 ms and travels in negative x direction at 30.0 m/s. At t=0, string element at x=0 has transverse position of 2.00 cm and is traveling down at 2.00 m/s. (a) What is the amplitude? (b) What is the initial phase angle? (0) What is the maximum transverse speed of a string element? (d) What is the wave function? 5; ,.I ‘ Fér/‘oo/TT:OJ025'I :) (4/: H“ ‘3 : Q} {to /FQVQ,/5 ﬂgﬁ'er‘, (2,1 iii/65 é _ J; M «x / Z a 7/: a? ‘7 é: 4% Jig?” ”” )7! afléﬂ, 3(0/0),0’062m @)AM/ﬂ /””’”’ Ill/71 gnaw/ms; ff @Ojrﬂsxawragm, (-ﬁhﬂ 7/ (cams/iawwmsqwa’? ./ M/ .Jﬁ ﬂgar¢3 “{3} : ~,007?g/77 a 2 Z 1 L % (§,L,7¢rm§ a2):mm ﬁve???) ﬂ " Ova/5377. 65) Aﬂh/¢“y = ﬁrm“? ’0’) 3 #00193 ﬂ 425% ~ar00775 P426 #11: A transverse sinusoidal wave has period T=25 ms and travels in negative x direction at 30.0 m/s. At FO, string element at x=0 has transverse position of 2.00 cm and is traveling down at 2.00 m/s. (a) What is the amplitude? (b) What is the initial phase angle? (0) What is the maximum transverse speed of a string element? (d) What is the wave function? (g) gy/pa 24m¢ : ~%5(/01573j @fzé "5 , ' a,» (La //,/<207/éaéa a»? (£573) :3 cq/c, y 7/, .0*% ﬁrm «KM "xtﬁbx §¥QKW\\N\N.A\MW® N3 SQﬂ‘S (.BA% QNN .mgxg ﬁﬂém (a: as H§\$§ m: 93 A {\$73 “A: g 2 TEE mvm on B :m E ncsom U6 88m 9: 9.3 ___>> m>>v anczom REEF: 28: Lmmeno 9: 52:3 Lou. NI com 2 “mam/0550533: 2: m_ H‘mc>> 3v tmamwno 9: Hm 855:6 32¢ 05 m_ 6E5 .NI com E 55:08 mEEw B 526 9m £8 : Amv .memew 95 3 EC: E E o.m m_ LmEmmnO .tmam E 0N Em 238% 02:. mug mmv a 53.53 ,Smwaiﬁwan gﬂw n4 ,‘§k& gnawge‘mqk 3?me M \ ,dsiqximwmw m\ wYémxuxQxS qNZNEV 93% t\\l.. _ \ 3 /\\ , _ ‘ xx U } N h \mxgsm gﬂxxéqg @ g aw K§mm~0 «\vaka \ u cu .ES3 U \Qwa v, :‘m HA mm ;\ sgwgé «Q. \ K m wnﬁxwo EON Enamwxmy AH): 80 e r111: E thit‘é A.w\E mvm ma 2 :m E 950m 5 88m m5 923 ___>> m>>v wncsom _mEE_E mam; 52080 05 5255 Lou. NI com 9 Emmoﬁ 55:3: 05 m_ Ec>> 3v imam“on 9: gm. mocwhmtﬁ 893 m5 2 En; .NI com E 55:08 mEEw B 525 9m £02 9: A3 .memem 9.0 “.0 E0: 5 E o.m 2 \$3830 .tmam E ON 9m 938% 93. wmn mmv a HmEmem Example: On a stringed instrument, a string labelled C, of length L and linear density g, has a fundamental frequency of 262 Hz. Another string, labelled A, has the same linear density but its length is 0.64L and its fundamental frequency is 440 Hz. What is the ratio TA/TC of the tensions of the two strings? Day 7 LW—a f4 & 9'2 @541, % WM)“ Tﬂ/fé‘ Z 715(52X1X02601) Xi 7’4 :(Qkalé‘wéx #%a>&xﬂ' / Z r m OHM/WW0 5 A/fs/ 00/ 5 / ﬂ aw ...
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wave_examples - P 426#5 Wave function is y(x,t...

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