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Waves Standing Waves Created by Joshua Toebbe NOHS 2015

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WAVES

WavesStanding WavesCreated by Joshua Toebbe NOHS 2015

Doppler EffectCreated by Joshua Toebbe NOHS 2015

Doppler EffectWhen we think of a wave on a string most people would think of something like this:

Created by Joshua Toebbe NOHS 2015

www.pixshark.com

Doppler EffectWhile that is a possibility there are so many more options, some of which can even take place at the same time.For example, we could fit half a wavelength on the string.

Created by Joshua Toebbe NOHS 2015www.blogs.elcorreo.com

Doppler EffectOr, we could fit a whole wavelength on the string.

Created by Joshua Toebbe NOHS 2015

www.blogs.elcorreo.com

Doppler EffectOr, we could fit one and a half wavelengths on the string.

Created by Joshua Toebbe NOHS 2015

www.blogs.elcorreo.com

Doppler EffectAnd so on and so on. But every wavelength that fits on the string must be a multiple of the strings length.Since both ends are fixed there is no way you could fit a quarter wavelength on the string, the fixed end would have to disconnect.

Created by Joshua Toebbe NOHS 2015

Doppler EffectSo lets take a closer look at the anatomy of a wave on a string.

First a review:

Created by Joshua Toebbe NOHS 2015

Doppler EffectSo lets take a closer look at the anatomy of a wave on a string.

On to the new stuff:

Created by Joshua Toebbe NOHS 2015

Doppler EffectCreated by Joshua Toebbe NOHS 2015

A node is a point of maximum displacement.An anti-node is a fixed point.The number of nodes and anti-nodes is directly related to the number of wavelengths on the string.

Doppler EffectEach wave that can fit on the string is called a mode.

Created by Joshua Toebbe NOHS 2015

Doppler EffectThey are also known as harmonics, especially when dealing with sound.

Created by Joshua Toebbe NOHS 2015

Doppler EffectAfter all, stringed instruments simply make sound by vibrating strings at a pleasant frequency.

Created by Joshua Toebbe NOHS 2015

www.mylespaul.com

Doppler EffectCreated by Joshua Toebbe NOHS 2015

Take a second and see if you can create a formula for how wavelengths shown below are related to the length of the string.

Doppler EffectCreated by Joshua Toebbe NOHS 2015

This is what I came up with

Doppler EffectCreated by Joshua Toebbe NOHS 2015

Doppler EffectCreated by Joshua Toebbe NOHS 2015

Doppler EffectCreated by Joshua Toebbe NOHS 2015

Doppler EffectExample #1:

particular string has a mass of 6 kilograms and is 24 meters long. If the fundamental harmonic frequency is measured to be 4.7 cyc/sec, what is the tension on the string.

Created by Joshua Toebbe NOHS 2015

Doppler EffectCreated by Joshua Toebbe NOHS 2015

Doppler EffectCreated by Joshua Toebbe NOHS 2015

Doppler EffectExample #2:

What is the fundamental frequency for the diagram shown below?

Created by Joshua Toebbe NOHS 2015

mass=3 kg

Doppler EffectCreated by Joshua Toebbe NOHS 2015

mass=3 kg

Doppler EffectCreated by Joshua Toebbe NOHS 2015

mass=3 kg


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