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

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  • Опубліковано 26 гру 2024

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    @TheOrganicChemistryTutor  11 місяців тому +15

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    @richphero106 3 роки тому +249

    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?

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  • @kabouch
    @kabouch 3 роки тому +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.

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    @vidhukrishnan1827 3 роки тому

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  • @plushycat
    @plushycat Місяць тому

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

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    @abdullahbabor4876 5 років тому +2

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    @leonardobarrera2816 7 місяців тому +1

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  • @davidgodwin5505
    @davidgodwin5505 4 роки тому +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
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    Thank you so much.

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    @motlatsohopemorema6324 3 роки тому

    I'm watching it now and I'm writing my test

  • @AnhNguyen-nh2jp
    @AnhNguyen-nh2jp 8 місяців тому

    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.

  • @Tiramid
    @Tiramid 3 місяці тому

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  • @Cyan-J-e5u
    @Cyan-J-e5u Рік тому

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

  • @laylachemist5245
    @laylachemist5245 4 роки тому

    Well done

  • @Zykroh
    @Zykroh 3 роки тому

    20:00 How did you get f3?

  • @bibnook9916
    @bibnook9916 3 роки тому +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.

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    @T-Even_phage_destroyer Рік тому +14

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    @جمالمأمون-ح1ر 3 роки тому

    الله ينور يا هندسة

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    @yukarikitamura1142 3 роки тому

    Thank you!!!!!!!

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    @minnahyassin1602 4 роки тому

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    @bernardforand4078 3 роки тому

    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...?

  • @sandlertossone1813
    @sandlertossone1813 4 роки тому

    How about a series on transmission line theory?

  • @Tourenture
    @Tourenture 4 роки тому

    thanx dude a lot

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    @toutekale7885 5 років тому

    Love you bro

  • @andyquach8437
    @andyquach8437 5 років тому

    Hi sir thank a lot for your video but if you make a # for the lesson more better

  • @WWEfantasy1
    @WWEfantasy1 5 років тому +2

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

    • @renae9450
      @renae9450 5 років тому +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

  • @adaptivelearner6162
    @adaptivelearner6162 3 роки тому +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?

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    @fa1ma1a 2 роки тому

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  • @kinglimpang8067
    @kinglimpang8067 5 років тому +4

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

  • @THANIAH_KAYY
    @THANIAH_KAYY 3 роки тому

    Thank you sooo much for this. XOXO

  • @dianagoretti9894
    @dianagoretti9894 5 років тому

    Thanks

  • @Zykroh
    @Zykroh 3 роки тому

    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?

  • @liyemamhatu
    @liyemamhatu 6 місяців тому

    GOD BLESS YOU ! ❤
    WOO!

  • @luxolomkabile3563
    @luxolomkabile3563 5 років тому

    Thanks man it usefull!!!