Waves, Light and Sound - Physics 101 / AP Physics 1 Review with Dianna Cowern

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  • Опубликовано: 4 окт 2024

Комментарии • 407

  • @brantonhill9614
    @brantonhill9614 3 года назад +125

    I am 56 and dropped out of high school. I was in remedial math. Mrs Cowern taught this lesson in a way I understood. I am a truck driver waiting to pick up a load, and I was almost able to finish copying the lesson. I’ve never had algebra. I have, tho, understood Einstein’s train and bouncing ball, that his first theory,(general relativity?) is a heuristic, and some other things. I’m fascinated by stuff, and I’m very grateful and motivated by this teaching. I plan to finish the lesson and try a problem. Thanks again

    • @jerrybyers2172
      @jerrybyers2172 2 года назад +6

      Good for you! Keep on learning! The knowledge is more rewarding than any diploma!

    • @claudedykstra
      @claudedykstra Год назад

      No body asked

    • @julesl6910
      @julesl6910 Год назад +1

      Body don't asked

    • @anleilei6626
      @anleilei6626 7 месяцев назад +2

      ​@@claudedykstra just like your unnecessary comment

  • @math_the_why_behind
    @math_the_why_behind 3 года назад +49

    I love how you have visuals at the beginning of each video; it really makes me curious and even more excited to watch the video :)

  • @quark9574
    @quark9574 3 года назад +35

    Your videos are really helping us students who gets confused in everything . Thanks a lot

  • @ivoryas1696
    @ivoryas1696 5 месяцев назад +1

    This is honestly my favorite physics tutorial playlist on RUclips. (Sorry Dave!) I just... _vibe_ with it's pacing, questions, and thoroughness! Even if you never make another one of these again, though, I'mma pray for your recovery! ✊🏾

  • @mayurvalvi13
    @mayurvalvi13 3 года назад +29

    I'm very impressed with you hand writing 👏

    • @johnrasmussen3752
      @johnrasmussen3752 3 года назад +1

      me too ... I kept imagining how many takes I would have had to do.

  • @vanshagg2003
    @vanshagg2003 3 года назад +81

    *This video is very beneficial for 10th Grade students of India....* 😊😊

  • @md.nurealam6548
    @md.nurealam6548 3 года назад +12

    Brain with beauty does exist! I study chemistry as a graduate student, I wish I can became a college student again and start study physics with this lady!

    • @physics77guy
      @physics77guy 3 года назад +1

      in my physics bachelor program we only had 2 girls in the whole program....lol

  • @MmmmmBacon8r
    @MmmmmBacon8r 2 года назад +2

    I’m 41 and am a college drop out. Watching your videos on physics, sound waves, longitudinal waves, etc, fascinates me and makes me excited about learning it. It makes me “hungry” to learn more and want to learn more. It may take me a bit longer to learn that what’s possible in a classroom because they’re kind of pressed for time, but I’d love to learn more and see how much my brain can handle lol. I’ve never felt this way about learning something as high as physics and I love it. Science was/is my favorite subject in high school and watching these has given me the desire to learn more about this. Maybe even go back to college for a physics degree (if possible). Thank you so much for this! You’ll always have me as a subscriber!

  • @Canal13hifi
    @Canal13hifi 3 года назад +2

    I'm a Dental Surgeon, and your videos still help me understanding some things in my field (Dentistry, Physics and Mechanics are closely linked to one another) !! Thank you !!

  • @PeterBeckleyArt
    @PeterBeckleyArt 3 года назад +6

    Diana and Destin both helping me get smarter every day. Thanks!

  • @Steelwolf171
    @Steelwolf171 3 года назад +9

    Had a good laugh at "Take-a-waves". When I was studying physics in university waves were always my favourite. Thanks for another great lesson!

  • @SkyhawkSteve
    @SkyhawkSteve 3 года назад +5

    I understand that explaining waves as changes in the medium makes a lot of sense. I'm not sure that the viewer will understand that electromagnetic waves don't use a medium. Considering how long it took to figure this out... well, maybe it's not the highest priority for the lesson. As an electrical engineer, I still marvel at the weirdness of EM waves traveling like this.

  • @mennodegroot1109
    @mennodegroot1109 3 года назад +10

    Fantastic episode, Diana! I know most of what you taught, but it just blows my mind just how wonderful God has created all this for us to discover! I'm sure Destin would agree, and I'm looking forward to much more here on your channel!😊

  • @guyh3403
    @guyh3403 3 года назад +5

    9:50 Lol, I just HAD to pause ;)
    Thanks for explaining all this interesting stuff!

  • @interested3791
    @interested3791 3 года назад +16

    HOLY SH*T!! I was literally looking for a music to listen to while doing my Physics homework that, get this, is about waves

    • @jamit2u
      @jamit2u 3 года назад +5

      Don’t swear in Miss Diana’s class that very rude

    • @interested3791
      @interested3791 3 года назад +1

      @@jamit2u i kinda censored but sry anyways

  • @sooryasijin3343
    @sooryasijin3343 3 года назад +17

    She makes everything more loveable!!! 😁.... Thank you

    • @Zehn2222
      @Zehn2222 3 года назад +4

      because she is ♥

    • @calholli
      @calholli 3 года назад +2

      My algebra teacher was like her when I was young. This is probably one of the main reasons why I like math so much, because other people that like math are so awesome.

  • @dharmeegajara440
    @dharmeegajara440 3 года назад +1

    the best part was the perfect analogy made in the beginning only which gave a whole new perspective woah

  • @mattp422
    @mattp422 3 года назад +1

    Diana, everyone always comments on what a great teacher you are, and that’s very true. But I wanted to say you have awesome penmanship!

  • @pierreabbat6157
    @pierreabbat6157 3 года назад +4

    The magnitude and direction of the energy flow of a light wave is called the Poynting vector. Sounds redundant.

    • @FlyingSavannahs
      @FlyingSavannahs 3 года назад

      Tattoo artists set their needle guns to the highest hurts they can.

  • @robinperkins7623
    @robinperkins7623 3 года назад +8

    Hey Diana
    Thanks for doing what you do... These videos have helped me a lot :)

  • @jonakers704
    @jonakers704 3 года назад +1

    Fun fact: Ham radio operators use a shorthand method for determining broadcast bands: Take the frequency you are using, for instance the 93.5x10^6Hz, but represent that in MhZ. Divide 300 by that number, such that 300/93.5 =~ 3, and that is the general broadcast band you are in: the 3m band. It is a very general equation, but it comes in handy for determining what band you are in with simple in-the-head arithmetic. Where is the frequency range for the 10m band? Oh, around 30MHz (Ham radio operators use around the 28MHz range, but this is really close)

  • @charles_wipman
    @charles_wipman 3 года назад +2

    Good lesson, my 1st ten in a exam was with the light refraction at 3rd grade; and my favourite radio station it's the WFMU.org 91.1 and 91.9 fm in New Jersey and New York City,
    and at 90.1 and 91.9 fm in the Hudson Valley.

  • @michaelcornish2299
    @michaelcornish2299 3 года назад +2

    Thankyou, this is a lovely video. By chance I have recently started teaching waves at school so I will be sharing this with my colleagues and students working from home. I have also recently seen a video of one of the other physics teacher's doing your 20 experiments with her kids!

    • @megamanx466
      @megamanx466 3 года назад

      Indeed. I'd advise to let your kids know that probably most of the technology they encounter in the future and now will/do use some type of wave form... most likely as electricity or radio! 😅

  • @ZerobugCoder
    @ZerobugCoder 3 года назад +8

    IITans were here..
    Love ur work.
    All these topics are nostalgic😊

  • @RobertSmith-pw9io
    @RobertSmith-pw9io 3 года назад

    Excellent once again Professor !! The energy you impart to your teaching is very reminicent of Professor Julius Sumner Miller, only you are even more energetic !!! WOW !!!

  • @PapaFlammy69
    @PapaFlammy69 3 года назад +25

    okay

  • @NeroDefogger
    @NeroDefogger 3 года назад +1

    amazing, that solved some questions I had, but now I need to research a bit more about light...

  • @deleted7446
    @deleted7446 3 года назад

    People like you makes world a better place .

  • @bernhardsagat77
    @bernhardsagat77 3 года назад +1

    Really really good explanation. Don't be afraid to add more formulas

  • @SteveJubs
    @SteveJubs 3 года назад +7

    I desperately need the bit at 2:13 to be isolated out of context. “This ...” *chucks a slinky off the table* “... is not a wave.”

  • @alanmcdougal
    @alanmcdougal 3 года назад

    Thanks Dianna. Your teaching of physics is paramount knowledge that you share with us and I love the way you explain it. Thank you again.

  • @KevynTD
    @KevynTD 3 года назад +2

    Congratulations on your work, it was sensational!! I really like your videos and curiosities that you bring!!

  • @steve-o6413
    @steve-o6413 3 года назад +2

    I always watch other people's thoughts about Frequency, Vibration and Energy and listen to their analogies on the subject. Coming from your moving mud puddle video in which I found very interesting...

  • @randompatillo4336
    @randompatillo4336 3 года назад

    Hey, keep up the great work.
    You do an excellent job of describing all sorts of physics. I'm glad you are out there, someone for kids to look up to and see making science fun!
    Even as someone who studied physics and engineering for years, each of your videos is fascinating, and worth watching. It's been a great way to shine some rusty Newtonian skills!

  • @iprovedthem5527
    @iprovedthem5527 Год назад

    I'm a 39-year-old Foundation Engineering student and this video has saved me. Could not get my head around waves and it's finally starting to make sense... plus your handwriting is much easier to read than either of my Physics lecturers.

  • @timauth
    @timauth 3 года назад +2

    I can't believe you've never seen a rocket launch. Everyone should see one in person at least once. Of course some are better than others and they get scrubbed so often that I feel very lucky when I get to witness a good one.

    • @FlyingSavannahs
      @FlyingSavannahs 3 года назад

      I got to see the Chandra X-ray telescope go up. First Shuttle mission commanded by a woman, Cmdr Eileen Collins. Two scrubs the previous two nights with hydrogen alarms in the the Shuttle Main Engine area at < T-10s. Yikes! Third night with same alarm shortly after liftoff. Abort was a moot point as the Return to Launch Site scenario was never considered survivable. Loss of one SME before main engine cutoff resulted in Chandra's initial drop off orbit being too low. It took longer to get it into it's design orbit. A real nail bighter. I was on the outside stairs of the Launch Control Center in front of the VAB. Even here your body and chest resonate from the sound intensity and your clothes just shake against you. Quite an experience. This was well before 9/11 so I'm sure the stairway no longer allows viewers to stand right along the wall of the LCC nerve center.

  • @somnathganguli3973
    @somnathganguli3973 2 года назад

    You definitely have a fun and interesting way of explaining physics . I have been following you for some time. Great. Keep it up. I am a medical doctor and physics, astrophysics is an interest I follow. Really enjoy your "presentation" at the end of the day after my professional responsibilities. Thanks. Sometimes I wish I was back in school with physics and mathematics.

  • @alonegamerz7783
    @alonegamerz7783 3 года назад +3

    It helps me in my exam of 9 th grade thank-you

  • @bobandres5559
    @bobandres5559 2 года назад

    I was totally into this video, except you didn't use a steel slinky. Thank you Diana your presentation is excellent, wish i had teachers like you growing up.

  • @eitanavisar52
    @eitanavisar52 3 года назад +2

    Amazing video... The explanation is so good! Thank you very much 💕

  • @NewMessage
    @NewMessage 3 года назад +6

    Slinkies... the science demonstrators best friend.

  • @ishraqal-yahyai6834
    @ishraqal-yahyai6834 3 года назад +1

    Thank you you make every thing easier .

  • @nainagupta2658
    @nainagupta2658 3 года назад +1

    Watching your videos from India 🇮🇳🇮🇳 very helpful Thankyou 🤗🤗

  • @timeverse1545
    @timeverse1545 3 года назад +2

    Dianna is catching waves with a freeze-bee 😂😂😂 .. good luck with that

  • @Mksharma724
    @Mksharma724 2 года назад

    As a learner I think your understanding skill is very impressive.

  • @deleted7446
    @deleted7446 3 года назад

    Good teacher makes good students .
    Good students can change the world.

  • @krioshhh7384
    @krioshhh7384 3 года назад +1

    nice explanation of Doppler effect, ty♥

  • @adarshpandey7267
    @adarshpandey7267 3 года назад +2

    Your videos are very useful

  • @coachcape
    @coachcape 3 года назад +9

    I'm not even in schoo no more and I be learning physics let's goooo

  • @akaisekai143
    @akaisekai143 3 года назад

    I am happy you are continuing this series 🤩

  • @nichudi
    @nichudi 3 года назад

    Love your videos, and, you as an amazing human. Keep it up! This world is going to need the amazing humans you are inspiring.

  • @ditscogaming775
    @ditscogaming775 3 года назад +1

    ur vids really help me physics mam/girl thx for such great content

  • @powerprofile69
    @powerprofile69 3 года назад +1

    I am your squad from India...recently addicted to your explanations🔥❤

  • @quasarstarpower2858
    @quasarstarpower2858 3 года назад +1

    It's awesome! Thank you Diana:)

  • @martf4701
    @martf4701 3 года назад +3

    15:50 so this means that if you speak at one end of the slinky and someone else listens at the other end, the more streched the slinky is, the higher the voice will sound?..
    Or..
    The faster the sound will reach the other end?..

  • @techhelp1941
    @techhelp1941 3 года назад

    The only difference is the way of our perception for the same thing.....Nicely done Diana.

  • @chrispeoples4606
    @chrispeoples4606 3 года назад

    From a seismology approach, longitudinal (P waves) and transverse (S waves) waves are considered body waves in that they both travel through a medium. It should be noted that transverse waves can only travel though solid materials because fluids by definition do not have a shear modulus. Surface waves are those that travel along the flexible boundary between two media. Surface waves on the ocean surface are Rayleigh waves, which also travel on land when produced by earthquakes and cause the major damage.

  • @almosh3271
    @almosh3271 3 года назад +1

    This is a great lesson Dian. Keep up the good work!

  • @cmariamsoto
    @cmariamsoto 3 года назад +1

    Excelente, gracias.

  • @BillMSmith
    @BillMSmith 3 года назад +2

    Waves are amazing. But now I want to see a stadium of people doing a longitudinal wave. MIT, I'm looking at you!

    • @FlyingSavannahs
      @FlyingSavannahs 3 года назад +1

      It's a moot point. Caltech is already doing wave-particle duality in the Rose Bowl.

  • @johncourt9580
    @johncourt9580 3 года назад

    Hi Dianna, another great video, presented in your captivating style, makes a great way to learn about this fascinating world!

  • @louiscorprew7970
    @louiscorprew7970 3 года назад +1

    This is an awesome video, thank you!! I look forward to seeing more on this subject 🙂

  • @ansitapradhan7794
    @ansitapradhan7794 3 года назад +1

    Problem 1: First case→ v=0.25m/s Secondcase→Wavelength=0.1m.
    Problem 2: Wavelength=0.32*10^3m.
    Problem 3: time(light)-time(sound)= -28.4 seconds.

  • @MH-ms1dg
    @MH-ms1dg 3 года назад +1

    imagine "the wave" being explained through a combo of physics, biology, sociology, and psychology

  • @-sciencenote2517
    @-sciencenote2517 3 года назад +2

    Hello Diana, I am an electrical engineer from Morocco. I love your work. there is any way to get in touch with you privately ?????

  • @catherinemalcolm8125
    @catherinemalcolm8125 3 года назад

    I have just realised, having watched this mind-blowing video, that our natural state could be described as children! So that anything that disturbs this state can be either an excitement or a stresser.

  • @athenasperil993
    @athenasperil993 2 года назад

    Thank you! This helped me a LOT, for my science exam!! :)

  • @hanoroam2259
    @hanoroam2259 3 года назад +1

    We need more of this

  • @rnklv8281
    @rnklv8281 Год назад

    Interesting when you said: "all sorts of cool things happen when waves travel thru matter/medium". An example (sound waves in water) may be when a scuba diver breathing underwater will experience a noticeably louder breathing sound when inhaling and exhaling via the regulator mouthpiece (with hose connected to the air tank), and ambient noises underwater appear be non-directional (experience relative to the diver).
    When you're tuning your radio to your favorite radio station at 93.5 MHz, I'm assuming your tuning to a modulated carrier frequency wave. The music/information wave (the audio portion you want to listen to is a separate wave) is superimposed to a carrier wave (its purpose is to "carry" or reach your radio) and then the new modulated carrier wave (carrier wave + music/info wave) is transmitted and picked by your antenna/radio receiver. The circuit in your radio receiver can filter out the carrier wave and take the energy from the music/information wave and modulate into audible music. Trying to remember what I was taught, so I might not be right on the technical procedure and terms.
    I still have a low-tech AM (Amplitude Modulation) transistor radio. Does not require a huge antenna. If I pop the case open, the antenna is just a small magnet/metal bar with a lot of wire windings around it (inductive coupling concept?). It does have its limits in terms of tuning, both selectivity and sensitivity, but in a worst-case scenario (which I hope never happens) and much of our "higher tech" communication systems goes down, it (transistor radio) might come in handy.

  • @kunalmehra5217
    @kunalmehra5217 3 года назад +1

    Very cool !!
    It was very confusing.
    You explained very well with problems and visuals💕
    Waiting for next lecture😉

  • @petejohnston5880
    @petejohnston5880 3 года назад +1

    OOpps. breathing helium doesn't change the frequency but changes the formant. The frequency is determined by the tightness of the vocal cords and the force of the lungs, and that remains almost the same. What changes is the speed of the sound bouncing around the mouth and nasal cavity which form the spectral filters, like the sound of which vowel we hear. The frequency of the filters do go up in pitch meaning that the harmonic envelope rises in pitch but the fundamental frequency it self doesn"t change. So it's like your mouth and nose and in fact your whole head has shrunk but the vocal cords haven't. Try a pitch detector on your vocal range with helium and without and you'll find it is the same.

  • @dinesh9596
    @dinesh9596 3 года назад

    Cannot be more thankful for your wonderful videos 😊

  • @epicasteroid6873
    @epicasteroid6873 3 года назад

    Why doesn't my physics lecturer teach me this way ?? 😩
    I started to love physics only after watching yt channels like this one,before that it was a nightmare for me
    I really like these videos
    Thank you Dianna 😊

  • @Luxcium
    @Luxcium 3 года назад

    I am from another country with a different system of education and it's exactly what I learned... We must go to college for 2 years, before we go to university, which I didn't complete so when I went to university they gave me those classes Physics 1 (Mechanics) Physics 2 (Electricity and magnetism) Physics 3 (Waves, Optic and modern physics)... (Québec Province, Canada)

  • @fredricprabu7815
    @fredricprabu7815 3 года назад +1

    Oh that's awesome . This video is amazing. Oh Jeez your explanation is excellent 👍 .

  • @karnampathak7855
    @karnampathak7855 3 года назад

    Your video help me in clear visualization of physics and till before i think that i understand physics but now i feel the physics

  • @wilgarcia1
    @wilgarcia1 3 года назад +5

    Slinkys are the best teaching tools =)

  • @TheReaverOfDarkness
    @TheReaverOfDarkness 3 года назад +1

    Could you make a video explaining why heated water starts making noise quite a while before it starts boiling, and actually stops making the noise right before the boiling begins?

  • @danagillam
    @danagillam 3 года назад +1

    If you watch the entire video by Mark Rober, you will realize that the change in pitch is not a result of the change in the speed of sound in the different mediums. In order to change the frequency you must change the vibration of the source. When you hear a sound traveling through water or through air the pitch does not change, the medium does not affect the frequency, only the speed and wavelength. The heavier particles of the gasses cause the vocal cords to have less acceleration and thus lower frequency. Your success as an educator depends impart on your credibility, which took a hit in this video.

  • @Yznewday777
    @Yznewday777 2 года назад

    Great content thank you . I will i would of majored in physics back in 85. But no
    I enjoy so much your teaching thank you .

  • @jeankellner2071
    @jeankellner2071 3 года назад +1

    3:39 That jelly earth made me uncomfortable somehow. But great video as always. 👍

  • @harishvenkat1313
    @harishvenkat1313 3 года назад +1

    can u explain about dark and bright fringe , I want to know more deeper about them ,super excited

  • @Coreify
    @Coreify 3 года назад +1

    I enjoy watching all these physics videos!! I just find there isn’t enough questions at the end. May you please add like a worksheet we can complete or something with more questions :) keep up the good videos

    • @michaelsommers2356
      @michaelsommers2356 3 года назад +1

      There are numerous books filled to the gunwales with physics problems. You can also find problems online.

  • @emmanuelmaximus2174
    @emmanuelmaximus2174 3 года назад

    At 17:20, it is mentioned that velocity= distance / time it should be velocity= displacement/time

  • @GauravThakur-hg3ic
    @GauravThakur-hg3ic 3 года назад +1

    YOU ARE A GREAT TEACHER SIS!

  • @MuhammadDaudkhanTV100
    @MuhammadDaudkhanTV100 3 года назад +1

    So super hit and cool content bro

  • @JjVa20
    @JjVa20 3 года назад

    I don't even study anymore but I love watching these videos because I love physics

  • @josephsage3524
    @josephsage3524 3 года назад +1

    Great video Miss Dianna

  • @guardian-X
    @guardian-X 3 года назад

    Great video, thank you! I would really like to learn more about reflection. Always wondered how mirrors work!

    • @tittylicker9445
      @tittylicker9445 3 года назад

      you see only because of light, light is a crazy stuff, it's an electromagnetic wave that is a wave and particle at the same time
      all information about the shape and size of any object is getting into your brain via light, so you can say you're touching things with your eye sight
      mirrors work in that way the photons are always reflecting from a surface, any surface like if you thrown a ball against the wall but in light is case the reflection is disturbed when the object is unpolished
      mirrors are heavily polished surfaces and I think many of them have a silver surface sprayed on them so in this way the photons are almost perfectly reflecting with almost no refraction and in angle in which they are hitting the surface of a mirror
      so in this way you're getting almost perfect image of yourself if you're looking into a mirror
      btw. light is also the color pencil that is giving to anything material a certain color, so yes, everything around you is originally without any color
      the universe is wrird

  • @mrhphysics7848
    @mrhphysics7848 3 года назад +1

    Huge fan of your work, thank u for making these.. CB unfortunately recently dropped this unit from P1 :-/

  • @Greg_Rix
    @Greg_Rix 3 года назад

    This is amazing as it's really helping out with the UK lockdown learning at the moment :D

  • @Not_your_toast_
    @Not_your_toast_ 2 года назад

    thanks this helped me a lot. I love your channel

  • @vaedkamat484
    @vaedkamat484 2 года назад

    I'm pretty sure EM force is the cause of the slinky's wave. It's honestly amazing all of our classical mechanics and kinematics depend on the electromagnetic force. Without that, you may not even me able to exert a force on another object and the reason why the mechanical energy of a spring itself exists. Physics is amazing!!!!!!!!!!

  • @sanjuansteve
    @sanjuansteve 3 года назад

    @13:50 I'd say yes, it is possible to hear earthquakes in the air. If the ground is moving and vibrating, it is moving the air like a giant speaker. We may not be able to hear anything, but I'd say it definitely makes sound (compression) waves in air.

  • @AbishekMEH
    @AbishekMEH 3 года назад +1

    this is so interesting

  • @thedecktothe16thpower56
    @thedecktothe16thpower56 3 года назад

    She could put a space suit on go out into a vacuum and create some serious waves. Not only that, she could use the waves to control her axis orientation. Clever yet she could move her hands up and down like a piston still sending waves back and forth and shuffle to the side and become the wave if she throws in a spin. If she extends them and retracts them, whilst going up and down like a piston in opposing motion she'll be able to flip over the waves. This alone could actually help a person in a space suit, with out wasting gas or space in the suit.
    When you push it off the table its actually a wave, I think. In this case you accessed gravitational potential through gravity. I think this is a MAJOR over sight in the physics Departments. That leads to confusion about gravity space and energy. Its like punching space time in the face and not expecting to get hit back harder and crushing the data into little bits(bytes), what ever your flavor of burn is. There's a difference between respect of power and straight up denial. This is no pun of her and I realize observations take time. She gets it, it's all in her symbol and her natural being.
    I think when we make sound all we are doing is allowing the Earth and other vibrations to provide a key hole for the Earth to scream through. The bigger the cavity the louder you can hear the shear tension deep from with in. A sonic boom so loud and powerful it just downs in its own vibrations. If we heard Earth all at once it would destroy us as a human like a bioluminesent kernel popping. In a way we do already but the process is slowed down.
    Don't mind me. I'm just at man of the moon thats orbiting you. ruclips.net/video/sS0yYDdj9fU/видео.html

  • @jamielondon6436
    @jamielondon6436 3 года назад

    I was trying to drink some water at 9:10, and now my floor is wet … so, thanks for that (and for the extremely well presented knowledge, of course)! :-)

  • @Butters_Stotch530
    @Butters_Stotch530 3 года назад +1

    Great video, but I would appreciate more equations.

  • @pizzaaaa9966
    @pizzaaaa9966 3 года назад +11

    I almost can't believe that how early I am ! First !

  • @IrocZIV
    @IrocZIV 3 года назад +1

    93.5 WHMI in Michigan is a pretty good station too