Standing Waves

St. Mary's University Physics

School blocks YouTube? Download the file below.

ChladniPlate.mov

 

 

 


Kieff, Ptj, Wikipedia, public domain

 


Standing Wave

St. Mary's Physics Online

 

 

 

B) Standing Wave – waves produced when two waves of the same frequency and amplitude travel in opposite directions in the same medium (Musical instruments)

 

School blocks YouTube? Download the file below.

standingWavesYT.mov

Remember the old slinky song? - slinky.wav

 

 

 

Standing Wave
David M. Harrison

 

 

School blocks YouTube? Download the file below.

Ruben's Flame Tube

Mythbusters from YouTube

 

 

WebMaya.mov

 

 

 

How many antinodes are in each picture?

(focus on the lower half of the guitar)

Physics of the Acoustic Guitar
Fletcher

 

 

 

2, 4, 10

 

 


Click on the frequencies above

| Larger |

 

 

 

 

 

 


Maximum Destructive Interference Occurs
at the Nodes


 

 

 

Standing waves can also be produced by reflection

 


How many nodes?

 

 

 

 

5

 

 

 

How many antinodes?

 

 

 

4

 

 

 

How many waves?

 

 

 

 

 

 

2

 

 

 

 

Standing Wave and Frequency

C. K. Eng

 

 

How many wavelengths?

 

Wikipedia, Houtlijm, public domain

 

| Larger |

 

 

 

 






 

One Antinode

 

 















Four Antinodes


Illustration of vibrations of a drum - Oleg Alexandrov
Public Domain Image

 

 

 

 

 

 

How many antinodes?

How many

wavelengths? 

 

 

 

 

 

2 antinodes, wavelength = 3.0 m 

 

 

 

AP Physics

L = distance between walls

String fixed at both ends
 or Open Pipe Both ends

L = (nl/2)

n = 1,2,3 ....

since v=fl

then

fn = n[v/2L]

 

n = 1,2,3 ....

Each frequency is a multiple of the fundamental frequency

Pipe Open at One End

 

 

Closed at one end

 

 

 

L= [n/4]l

n = 1,3,5,7 .....

since v=fl

then

fn = nv/4L

n = 1,3,5,7 .....

frequency goes up by 2 times fundamental and are divisible by ODD number

Giancoli p. 348) 34, 36

 

34) Closed

88 Hz is fundamental

36) Open Pipe Fundamental 40 Hz, both are even number multiples of 40 not odd multiple of 20

 

f = v/2L = 40 Hz = (340 m/s)/2L   L = 4.3 m

 

 

Review Book p. 302) 10.

 

Open at one end

n = 1 fundamental

f = v/4L

= 340 m/s/(4 x .17)

= 500 Hz

 

p. 303) 10

 

 

 

Beats - Rhythmic interference between two semi indentical frequency sources

 

Enrichment

 

 

 

 

 

Enrichment

 

 

 

Standing Waves/Sound/Chladni
Berkeley Univ.

 

 

Standing Waves - Wake Forest .U.

(Chladni Disk)

 

 

Water Drop in Zero g

School blocks YouTube? Download the file below.

Waves_in_a_Large_Free_Sphere_of_Water.mov

 

Standing Waves
HyperPhysics (offsite
)

 

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