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Waves Standing Waves Created by Joshua Toebbe NOHS 2015.

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Presentation on theme: "Waves Standing Waves Created by Joshua Toebbe NOHS 2015."— Presentation transcript:

1 Waves Standing Waves Created by Joshua Toebbe NOHS 2015

2 Doppler Effect Created by Joshua Toebbe NOHS 2015

3 Doppler Effect When 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

4 Doppler Effect While 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 2015 www.blogs.elcorreo.com

5 Doppler Effect Or, we could fit a whole wavelength on the string. Created by Joshua Toebbe NOHS 2015 www.blogs.elcorreo.com

6 Doppler Effect Or, we could fit one and a half wavelengths on the string. Created by Joshua Toebbe NOHS 2015 www.blogs.elcorreo.com

7 Doppler Effect And 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

8 Doppler Effect So lets take a closer look at the anatomy of a wave on a string. First a review: Created by Joshua Toebbe NOHS 2015

9 Doppler Effect So 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

10 Doppler Effect Created 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.

11 Doppler Effect Each wave that can fit on the string is called a mode. Created by Joshua Toebbe NOHS 2015

12 Doppler Effect They are also known as harmonics, especially when dealing with sound. Created by Joshua Toebbe NOHS 2015

13 Doppler Effect After all, stringed instruments simply make sound by vibrating strings at a pleasant frequency. Created by Joshua Toebbe NOHS 2015 www.mylespaul.com

14 Doppler Effect Created 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.

15 Doppler Effect Created by Joshua Toebbe NOHS 2015 This is what I came up with…

16 Doppler Effect Created by Joshua Toebbe NOHS 2015

17 Doppler Effect Created by Joshua Toebbe NOHS 2015

18 Doppler Effect Created by Joshua Toebbe NOHS 2015

19 Doppler Effect Example #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

20 Doppler Effect Created by Joshua Toebbe NOHS 2015

21 Doppler Effect Created by Joshua Toebbe NOHS 2015

22 Doppler Effect Example #2: What is the fundamental frequency for the diagram shown below? Created by Joshua Toebbe NOHS 2015 mass=3 kg

23 Doppler Effect Created by Joshua Toebbe NOHS 2015 mass=3 kg

24 Doppler Effect Created by Joshua Toebbe NOHS 2015 mass=3 kg

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