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Standing Waves Handout

 

Standing Waves Open Tubes

showmethephysics.com

slideshow

 

II. Standing Wave

- One end open, other end closed

 

A. This standing wave is caused by reflection

B. There is always a NODE on the closed end and an ANTINODE on the open end

 

1. 1st Harmonic (Fundamental) (N.A.)

 N.A. = (Node - Antinode)

L = Standing Wave Length

L = 1/4

l = 4L

L = 3/4

l = (4/3)L

L = 5/4

l = (4/5)L

 

2. 3rd Harmonic (NA NA)

L = Standing Wave Length

L = 1/4

l = 4L

 

L = 3/4

l = (4/3)L

L = 5/4

l = (4/5)L

 

3. 5th Harmonic (NA NA NA)

L = Standing Wave Length

L = 1/4

l = 4L

 

L = 3/4

l = (4/3)L

L = 5/4

l = (4/5)L

 

4. 7th Harmonic (NA NA NA NA)

L (Standing Wave Length) = 7/4 l

l = (4/7)L

L= [n/4]l

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

since v = fl

then

fn = nv/4L

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

 

If fundamental is 20 Hz

 

Then a standing wave can be produced at
60 Hz, 100 Hz, 140 Hz

 

 

 

showmethephysics.com

Slideshow

 

D. Open at Both Ends

 

L = 2/4

l = 2L

L = 4/4

l = L

L = 6/4

l = (2/3)L

L = 8/4

l = (1/2)L

 

 

1/2, 2/2, 3/2, 4/2

 

L = n(1/2)λ

 

2L/n = λ

 

 

since v = fl

since v/l = f

 

then

fn = nv/2L

n = 1,2,3,4 .....

 

Beats - Rhythmic interference between two semi identical frequency sources

 

Beat Frequency = |f1 - f2|

 

 

Resonance

 

 

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.

Large_Free_Sphere_of_Water.mov

 

 

 

Standing Waves
HyperPhysics (offsite
)

 

 

 

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