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Summer of Math Exposition

The physics explaining everything from music to oceans to light

Audience: undergraduate

Tags: physicswavesapproximations

Waves are everything around us! I mean even when you think about something "dumb" like the 4 classical elements (earth, fire, water, air): those are all wave phenomenon too. Earth--think gravitational waves, seismic waves, waves through anything that physically moves, i.e. rope. Fire--is an electromagnetic <wave> phenomenon. Water--think ocean waves. Air--think sound waves. Yet so often when this core principle is taught in physics, many details are overlooked. The standard derivation includes assumptions about the amplitude of the wave, assumes that the rope doesn't move at all in the horizontal direction and has constant tension. Doesn't it feel unsatisfying to leave out all these details? In this video, I build an intuition for why these premises are used and the effect they have on the model of the wave. Then I take those ideas and apply them to discover why waves appear everywhere from ocean waves, to music, to the very light that lets you see this very piece of text.



Analytics

7 Overall score*
24 Rank
11 Votes
7 Comments

Comments

4.5

Nice way to introduce DP and make it intuitive. It was that it promised to run the 600k^2 on the dictionary but left it for another video but valid clickbait ig.

8.1

Beautiful explanation of a complex subject

6.4

Loved the combination of your written animation with your real life demos with your ropes

7.5

This does a great job explaining and connecting a bunch of different wave phenomena. And the visuals make it all clear at every step of the way. Well done.

3.3

I got lost pretty quick. It seems like you defined a wave to be something described by the wave equation, which feels a bit circular at least from an intuitive standpoint. The introduction foreshadowed discussion about why we can use certain assumptions/simplifications, yet at around the 6:30 mark, you just tossed out a bunch of them without really any discussion.

Mistake at around 2:30? “The second derivative being the curve of a function”

I liked the graphics and the production quality, and thing I loved was that your passion for the subject really shown through. However, I think I just wasn’t the intended audience. The video was about wave equations, but I’m not sure how meaningful it would be to someone who didn’t already have some understanding of the equations. I think there’s opportunity to broaden the audience without dumbing down the video too much if you just focused on one of the examples.

7

Enjoyed the style, the visuals, and the energy. I don’t know enough about physics to comment much more, but the video does a good job making me curious about them.

7

The creator of this video has very good energy and made it entertaining. The visuals were also well-executed. The explanation of longitudinal waves was especially memorable. However, it was difficult to keep up with all the equations that were being put on screen and sometimes raised questions in my head that distracted me as I watched the video.