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

This Physics video tutorial explains the concept of standing waves on a string. It shows you how to calculate the fundamental frequency and any additional harmonics or overtones. In addition, it shows you how to identify and count the number of nodes and antinodes on a standing wave given the number of loops. This video contains plenty of examples and physics practice problems.
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Simple Harmonic Motion:
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The Simple Pendulum:
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Mechanical Waves Problems:
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Wave Speed on a String:
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Sound Waves Review:
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Physics PDF Worksheets:
www.video-tutor.net/physics-b...
Here is a list of topics:
1. Standing Waves on a String
2. Number of Loops - Length of String vs Wavelength
3. Trough vs Crest
4. Tension Force, Wave Speed, and Linear Density of String / Wire
5. Frequency, Wavelength, and Wave Speed Calculations
6. Fundamental Frequency, Harmonics and Overtone Problems
7. Nodes and Antinodes - Physics

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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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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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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...?

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[@kinglimpang8067]

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

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[@alexanderying1558]

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

[@AnhNguyen-nh2jp]

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.

[@WWEfantasy1]

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

[@renae9450]

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

[@pillgrim9913]

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]

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

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20:00 How did you get f3?

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[@Zykroh]

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?

[@Hiepsi_24k]

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]

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