Standing Waves on a String, Fundamental Frequency, Harmonics, Overtones, Nodes, Antinodes, Physics

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  • เผยแพร่เมื่อ 1 ม.ค. 2025

ความคิดเห็น • 208

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  11 หลายเดือนก่อน +15

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      @leonardobarrera2816 7 หลายเดือนก่อน +1

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  • @richphero106
    @richphero106 3 ปีที่แล้ว +250

    13:41 A standing wave has 5 loops. How many nodes and antinodes are present?
    14:46 The fundamental frequency of a certain standing wave is 175 Hz. Calculate the first 4 harmonics.
    16:12 The 7th Harmonic of a standing wave is 280 Hz. What is the frequency of the 4th and 9th Harmonic?
    17:35 A 2 meter string produces a standing wave with 3 loops.
    a) What is the standing wavelength?
    18:56 b) What is the frequency if the speed of the wave is 45 m/s?
    20:00 c) What is the wavelength and speed of the first harmonic?
    22:37 The wavelength of a standing wave with one loop is 12 meters. Find the wavelength of the first five harmonics.
    23:38 The wavelength of 5th harmonic is 1.8 meters. Calculate the wavelength of the 9th harmonic.
    24:56 A standing wave with a speed of 30 m/s and five loops has a frequency of 250 Hz.
    a) What is the length of the string in centimeters
    27:19 b) If the string has a mass of 40 g, what tension force is required to produce such a wave?
    29:56 A tension force of 300N was applied to a 0.75kg string that is 5 meters long. A standing wave with 5 loops was produced.
    Calculate the:
    a) speed
    31:44 b) wavelength
    32:58 c) frequency
    d) fundamental frequency
    and the first three overtones
    36:38 The frequency of the 4th harmonic is 300 Hz and the wavelength of the 2nd harmonic is 2.3 meters. What is the speed of the wave?

  • @benjamin_dinnerbone7128
    @benjamin_dinnerbone7128 3 ปีที่แล้ว +344

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    • @Cobra98
      @Cobra98 3 ปีที่แล้ว +3

      Nice

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      @eviedawsonnn ปีที่แล้ว +1

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      @itzmecyber 9 หลายเดือนก่อน

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  • @agrainoflifee
    @agrainoflifee 3 ปีที่แล้ว +129

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      @syedshahood7666 3 ปีที่แล้ว +1

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      @Superstylerlegit 2 ปีที่แล้ว +6

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      @mohdsarik2075 ปีที่แล้ว

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    @traviss7740 2 ปีที่แล้ว +22

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  • @nmt121
    @nmt121 6 ปีที่แล้ว +239

    how could a video like this get a down vote? thanks for everything you do, your videos are great!

    • @joeyGalileoHotto
      @joeyGalileoHotto 6 ปีที่แล้ว +29

      They probably failed their tests

    • @jayl9541
      @jayl9541 ปีที่แล้ว +4

      cuz i dont like the way he pronounces wavelenf

    • @aditya_asundi
      @aditya_asundi 4 หลายเดือนก่อน +1

      probably (hopefully) by accident because i've done that a shit ton of times

  • @life42theuniverse
    @life42theuniverse 6 ปีที่แล้ว +41

    11:00 - 13 the six fundamental equations

  • @sparkle0859
    @sparkle0859 5 ปีที่แล้ว +39

    Broooo thank you SO MUCH for your videos, thanks to you, I *actually survived* my AP Physics 1 test today!!!

  • @kabouch
    @kabouch 3 ปีที่แล้ว +3

    4:45 Note that: L=nλn/2 i.e. λn=2l/n(1). v=λf i.e. λ=v/f(2). From equations 1 and 2, v/f=2l/n i.e. f=nv/2l. When n=1, the frequency is said to be fundamental.

  • @melissamumbi1055
    @melissamumbi1055 7 ปีที่แล้ว +41

    I have understood so many concepts just from your videos!Lol!I understand you better than my professors.Thank you so much.Keep up the good work

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    @TeineBilly 8 หลายเดือนก่อน

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    @thomasmolina9935 2 ปีที่แล้ว +1

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    @adigagodfrey2207 2 ปีที่แล้ว +1

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    @thatego.moreti 2 ปีที่แล้ว +5

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    @lilithasotondoshe8226 6 ปีที่แล้ว +60

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    @miguelbarrera4383 3 ปีที่แล้ว +4

    when he said "whats the speed again?" I felt that lmfao

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    @webs10 ปีที่แล้ว +2

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    @nehasonzai 7 ปีที่แล้ว +16

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  • @plushycat
    @plushycat หลายเดือนก่อน

    2:10 - wavelength and L association
    4:00 - harmonic frequencies
    11:30 - 6 main equations

  • @miyu6720
    @miyu6720 2 ปีที่แล้ว +10

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    @tarathetop 4 ปีที่แล้ว +7

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    Thank you so much :)

  • @maryamatto3162
    @maryamatto3162 3 ปีที่แล้ว +5

    I understood this better than when my professor explained it! I couldn't do my lab report without this video. Thank you so much for explaining :)

  • @maryamAlsari-mx3cy
    @maryamAlsari-mx3cy 5 หลายเดือนก่อน

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    @samkelisokhozamsuthu 6 ปีที่แล้ว +5

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      @royg7360 5 ปีที่แล้ว

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    @rebeccaly 3 ปีที่แล้ว +5

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    @wavyjr6600 6 ปีที่แล้ว +5

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    @ria3950 5 ปีที่แล้ว +2

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    @petraalyousifi1472 2 ปีที่แล้ว

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  • @leonardobarrera2816
    @leonardobarrera2816 7 หลายเดือนก่อน +1

    20:52
    I don't understand until 20:58
    Please, explain me!!!!!!!!!!!!!!!!!!!!!!!!!!!

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    @gathoni20 ปีที่แล้ว

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    @ummeaiman5228 10 หลายเดือนก่อน +1

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    @vidhukrishnan1827 3 ปีที่แล้ว

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    @abdullahbabor4876 5 ปีที่แล้ว +2

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    @aya_s1682 ปีที่แล้ว +1

    absolute legend

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    @cooluserhere 10 หลายเดือนก่อน

    Watching this as a review for my quiz today, I hope it goes well

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    @ha8388 5 ปีที่แล้ว +3

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    @dududaud.4221 3 ปีที่แล้ว

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    God bless you and maybe he give u more energy as you change life of scholars

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    @shuleih9862 5 ปีที่แล้ว

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    @aseelalhathran1144 11 หลายเดือนก่อน

    You literally saved my grade in ib physics

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    @shuminchen815 2 ปีที่แล้ว

    you are a awsome teach; thank you so much for providing such a complete and perfect videos.

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    @frankkalima-g9t หลายเดือนก่อน

    This video has helped me alot thank you

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    @aliguraiffi9789 6 ปีที่แล้ว +2

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    @loki9333 ปีที่แล้ว

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    @asgharali4006 9 หลายเดือนก่อน

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    @junelobz2621 3 ปีที่แล้ว

    Thanks, you're a great teacher

  • @maggywairimu1389
    @maggywairimu1389 3 ปีที่แล้ว +1

    It's super great ,, thanks

  • @AnhNguyen-nh2jp
    @AnhNguyen-nh2jp 8 หลายเดือนก่อน

    Hi, @23:08 the questions stated that standing wave only has one loop. How can you have multiples wavelength with just one loop? I thought one loop= 1 wavelength.

  • @dagmawitsegaye5258
    @dagmawitsegaye5258 2 ปีที่แล้ว

    You are super awesome guy👍👍

  • @ahlamzsager8787
    @ahlamzsager8787 2 ปีที่แล้ว

    بارك الله فيك

  • @Zykroh
    @Zykroh 3 ปีที่แล้ว

    28:16 Why multiply the right side only with L? Why not multiply the before = and after = because that would make sense to me. I’m confused.
    Edit: and why multiply by L in the first place?

  • @muazmuhidin1431
    @muazmuhidin1431 3 ปีที่แล้ว

    Thank you so much bro!! Was so helpful

  • @adrianamartinez3329
    @adrianamartinez3329 4 ปีที่แล้ว

    You should be considered a hero man

  • @akshanadilrukshi507
    @akshanadilrukshi507 ปีที่แล้ว

    Thank u so much.. it's very helpful 💕

  • @Zykroh
    @Zykroh 3 ปีที่แล้ว

    12:50 You claimed that antinodes are counted at *maximum* displacements and *minimum* displacements.
    14:34 You didn’t count the *minimum* displacements but just counted the *maximum* ones. Was this a mistake or am I missing something?

  • @tomibruno9839
    @tomibruno9839 2 ปีที่แล้ว

    thank you so much OCT

  • @yellowrazer2440
    @yellowrazer2440 3 ปีที่แล้ว

    Thank you,for this video!🤗

  • @omgods1
    @omgods1 5 ปีที่แล้ว +1

    You are a godsend

  • @shayalexapagkaliwangan8044
    @shayalexapagkaliwangan8044 4 ปีที่แล้ว +1

    this looks more helpful than my teacher

  • @davidgodwin5505
    @davidgodwin5505 4 ปีที่แล้ว +1

    I recently started watching your videos sir and I will like to say thanks for being so detailed in your explanations. I wioild like to ask if you could help me with this question. One end of a uniform rope of length L is tied to the ceiling while a mass M is suspended
    from the other force end. A transverse wave is set up at the lower end. Show that the
    velocity of the wave increases up along the rope. Give the expression for the time taken
    for the wave to reach the fixed end.
    Thank you so much.

    • @davidgodwin5505
      @davidgodwin5505 4 ปีที่แล้ว

      *would

    • @davidgodwin5505
      @davidgodwin5505 4 ปีที่แล้ว

      I don't really know which aspect to place it under waves. Thank you

  • @WWEfantasy1
    @WWEfantasy1 5 ปีที่แล้ว +2

    18:40 how did you know that the wavelength is the third harmonic?

    • @renae9450
      @renae9450 5 ปีที่แล้ว +2

      Because if u look at the diagram there are 3 standing waves that mean the subscript you will be dealing with in that question is 3

  • @Cyan-J-e5u
    @Cyan-J-e5u ปีที่แล้ว

    Wonderful indeed. But, please I would like to ask, is it a must to use it the 7th harmonic, to find the first?.

  • @kinglimpang8067
    @kinglimpang8067 5 ปีที่แล้ว +4

    25:33 If I use fn = (vn)/(2L), I've got different answer. Could anyone please tell me why?

  • @stevenwaima-dw7rn
    @stevenwaima-dw7rn ปีที่แล้ว

    Nice video 🙏🙏

  • @antonyochieng6847
    @antonyochieng6847 3 ปีที่แล้ว

    Be blessed 🙏

  • @aleenaa9892
    @aleenaa9892 4 ปีที่แล้ว

    Thanks soooo much...that was really helpful....

  • @Mo-tg7ot
    @Mo-tg7ot 3 ปีที่แล้ว +2

    You must be evil to give this guy a thumbs down

  • @T-Even_phage_destroyer
    @T-Even_phage_destroyer ปีที่แล้ว +14

    I so badly want to just drop out

  • @Zykroh
    @Zykroh 3 ปีที่แล้ว

    20:00 How did you get f3?

  • @theevolver5151
    @theevolver5151 4 ปีที่แล้ว

    I really appreciate you. thanks a lot

  • @جمالمأمون-ح1ر
    @جمالمأمون-ح1ر 3 ปีที่แล้ว

    الله ينور يا هندسة

  • @elyasahmadi9268
    @elyasahmadi9268 ปีที่แล้ว

    Useful, Thanks

  • @Tiramid
    @Tiramid 4 หลายเดือนก่อน

    thank you so much❤❤

  • @kelvin_ccp
    @kelvin_ccp 5 หลายเดือนก่อน

    Thank you sir 😭🙏

  • @thefamilybennett8688
    @thefamilybennett8688 6 ปีที่แล้ว +5

    Hey, I'm slightly confused on how you calculated the wavelengths at 23:00. I was under the impression that wavelength = 2L/n, so can you walk me through this one please? Thx

    • @TeamArrow-l4f
      @TeamArrow-l4f 6 ปีที่แล้ว +2

      The FamilyBennett you will get the same answer wavelength = 2L/n , L=2 and n=1 so wavelength = 2 Times 2 /1 = 4m

    • @Zykroh
      @Zykroh 3 ปีที่แล้ว

      @@TeamArrow-l4f I’m 3 years late but isn’t L = 12m? From where did you get the 2?

  • @bernardforand4078
    @bernardforand4078 3 ปีที่แล้ว

    Question; Nods represent the displacement to an anti nod... In space as a energy is transimited or Non tansit. Can we infer that the Nodes is the missing dark matter & energy we have been seeking...?

  • @minnahyassin1602
    @minnahyassin1602 4 ปีที่แล้ว

    Omg I love you thanks for this video

  • @adaptivelearner6162
    @adaptivelearner6162 3 ปีที่แล้ว +2

    Hey I wrote 4/3 as a whole decimal number so I got 67.5 do you think I would still get it right in the exam?

  • @laylachemist5245
    @laylachemist5245 4 ปีที่แล้ว

    Well done

  • @bibnook9916
    @bibnook9916 3 ปีที่แล้ว +1

    You could just multiply 2.3 x 2 then divide by 4 to get both with the same n value then multiply the 1.15 by 300. I found that to be easier.

  • @nelivilebsquared5919
    @nelivilebsquared5919 3 ปีที่แล้ว +1

    You saved me thanks

  • @THANIAH_KAYY
    @THANIAH_KAYY 3 ปีที่แล้ว

    Thank you sooo much for this. XOXO

  • @maryamrahmannia4812
    @maryamrahmannia4812 4 ปีที่แล้ว

    You are phenomenon

  • @IamKudos
    @IamKudos 4 ปีที่แล้ว

    can someone tell me in 21:05 lambda(n) = lambda(1)/n but in the next line its lambda(1) = nlambda(n)? parenthesis represent subscripts

  • @masumborkar441
    @masumborkar441 4 ปีที่แล้ว

    Thank you so much

  • @Hiepsi_24k
    @Hiepsi_24k 3 ปีที่แล้ว

    Dear Sir
    If we have displacement U(x,t,wn,n) with defined parameter, how we can estimate the frequency response?
    (With x: position, t: time, wn: in your video is c*n*pi/L, n is harmonic number)
    In frequency response, i want to find and compare the magnitude of displacement with resonance frequency!

    • @Hiepsi_24k
      @Hiepsi_24k 2 ปีที่แล้ว

      @Zain Ahmad Thank u so muchhhhh! 😁

  • @eeshat5117
    @eeshat5117 4 ปีที่แล้ว

    you are the best

  • @Ahmed-sa99
    @Ahmed-sa99 ปีที่แล้ว

    22:37 answer is not correct because I f I use the formula that states that the wavelength is equal to 2L/n and plug in 12 for L and 5 for n it will come out as 4.8(plugged in 5 for n cause he said the fifth harmonic ) am I correct or I am just dumb

  • @TheEngineerBlueprint
    @TheEngineerBlueprint 7 หลายเดือนก่อน

    "A video a day keeps the bad grades away" - unkown commenter on another video

  • @saiei
    @saiei 2 ปีที่แล้ว +2

    I watched this video during my test and got a PEEFECT SCORE, your a life saver dude thanks

    • @gagxs6760
      @gagxs6760 2 ปีที่แล้ว

      during ur test?, bitch wtf

  • @johnstrangee4857
    @johnstrangee4857 3 ปีที่แล้ว

    How do we get paid off of the energy that they seap from the land on our property? Or where where renting or Staying or renting or living

  • @ramazancelik7670
    @ramazancelik7670 2 ปีที่แล้ว +1

    Thanks al lot

  • @alexanderying1558
    @alexanderying1558 3 ปีที่แล้ว

    Can someone explain why there are different types of standing waves created whenever you pluck a string?

  • @medievalmusiclover
    @medievalmusiclover 4 ปีที่แล้ว

    I have the following problem could you please help me to solve it? 3. A spring and mass system with a mass of 2.5 kg is observed to have a frequency of 5.5 Hz. What is the stiffness constant of the spring?

  • @eeshat5117
    @eeshat5117 4 ปีที่แล้ว

    may God bless you with goodluck and fortune. Ameen

  • @luxolomkabile3563
    @luxolomkabile3563 5 ปีที่แล้ว

    Thanks man it usefull!!!

  • @pillgrim9913
    @pillgrim9913 6 ปีที่แล้ว +1

    What does 'n' and 'L' represent? I have been following velocity (wave speed m/s), frequency (Hz) and lambda (wavelength), so I'm a bit confused.​

    • @ruthsatoro3821
      @ruthsatoro3821 6 ปีที่แล้ว +4

      n is the number of loops or harmonics and L is the length of the string

  • @sandlertossone1813
    @sandlertossone1813 4 ปีที่แล้ว

    How about a series on transmission line theory?