Hidden Beauty in a Rolling Wheel

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All Things Physics

All Things Physics

Күн бұрын

Пікірлер: 155
@Quazlyy
@Quazlyy Жыл бұрын
Great video! Your talent for explaining such topics is remarkable and your use of animations to draw attention to certain parts of what’s on the screen is excellent!
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
Thanks! Glad you like it!
@Yuri_Gagarin44
@Yuri_Gagarin44 2 жыл бұрын
What a nice and well explained video about the non slipping rolling wheel phenomenona. In my times as student all was abstract black and white books. This kind of audio visual material make all more intuitive, I showed your video to my students which help them to understand this topic.
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube 2 жыл бұрын
Great to hear. I will eventually be doing a lot of videos that I think will be really useful to students.
@blainrinehart8865
@blainrinehart8865 Жыл бұрын
The amount of work done for these videos is insane. This channel is so detailed and I love how the explanations are both intuitive and detailed.
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
Glad you like them! And yes, they are a lot of work!
@GopherYourself
@GopherYourself Жыл бұрын
Your videos have the same energy as old physics videos from the 1900s (in a good way) we used to watch while studying physics. Your passion is really enjoyable!
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
Wow, thanks....I think! :)
@wack1305
@wack1305 2 жыл бұрын
Amazing video, I’ve never before had a concrete grasp on what rolling motion is, but when you described it as rotational and translational motion it clicked immediately
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube 2 жыл бұрын
Fantastic! Glad it helped!
@Thewerwolf
@Thewerwolf Жыл бұрын
This the highest gift one can offer for the love of such a wonderful subject Physics. All your videos are phenomenal and your are an amazing communicator. Thank you!!!
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
Thank you so much for the kind words!
@snowblindburd
@snowblindburd 6 ай бұрын
I think you just made me understand why the Scrambler at a carnival feels the way it does. Great video!
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube 6 ай бұрын
Glad you enjoyed it!
@AK56fire
@AK56fire 3 жыл бұрын
Incredible video.. Extremely good explanation.. awesome animation.. Totally loved it.. Definitely subbed and would wait for your next video.. Keep up the great work.. I must say the Animation is superb..
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube 3 жыл бұрын
Thanks so much for the kind words. I tried to make the animations both useful and pretty!
@AK56fire
@AK56fire 3 жыл бұрын
@@AllThingsPhysicsKZbin Could you please share how you made the animations.. maybe a tutorial video.. That would be great too.. and very helpful.
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube 3 жыл бұрын
@@AK56fire Some of the animations were done using standard video editing software, but most of them were made using a mathematical animation engine (programming package) called manim. Manim was developed (and is under continual development) by Grant Sanderson for making the animations used on his 3blue1brown KZbin channel. There are a number of manim tutorials already available, and as I am not a manim expert I will probably not delve into making manim tutorials, at least for the time being.
@AK56fire
@AK56fire 3 жыл бұрын
@@AllThingsPhysicsKZbin So, did you outsourced the manim part to someone..?
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube 3 жыл бұрын
@@AK56fire No, I did it all myself, but I am still learning as I go. I could probably do a manim tutorial, but for now I want to focus on making videos for AllThingsPhysics.
@noj5393
@noj5393 3 жыл бұрын
Great Video! It's crazy to think about a wheel rotating around its contact point with the ground.
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube 3 жыл бұрын
That's my favorite aspect of a rolling wheel!
@fullfungo
@fullfungo 2 жыл бұрын
It’s actually easier if you imagine a square (or n-gon in general). Such a shape would actually rotate around the contact point before instantly switching to the next one.
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube 2 жыл бұрын
@@fullfungo I hadn't thought of that, but you're right, that does make it easier to think about. Thanks!
@Seb135-e1i
@Seb135-e1i 2 жыл бұрын
@@fullfungo Rarely do I find such insight in youtube comments, that's an incredible way to visualise what's occurring!
@enderyu
@enderyu 2 жыл бұрын
Also, the dynamics of a rigid body (all points always at the same relative distance to each other) only allows for rotations and translations. Thus, if a point is instantaneously at rest, then the only possible motion for a rigid body is an instantaneous rotation around that point.
@tapasbhattacharya9590
@tapasbhattacharya9590 Жыл бұрын
This video is a real beauty. Wonderful video and explanations. Great!!
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
Than you! Please consider subscribing and sharing the video with others!
@MichaelRTalarico
@MichaelRTalarico Жыл бұрын
Might just be the best physics videos I’ve ever watched. Thank you for your hard work on this, makes a lot of sense!
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
Thanks! I’ve been overly busy for a while, but should be making more videos soon. Stay tuned!
@johnwakeling9233
@johnwakeling9233 Жыл бұрын
Is a great explanation. Thanks. It's more intuitive if you watch a bulldozer moving, the tracks are eerily motionless!
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
@@johnwakeling9233 Yes, I with I would have thought of a bulldozer when making the video. Such a great example!
@allegramanco1
@allegramanco1 Жыл бұрын
I figured this out while riding my bicycle in 1975. Looking down on the wheel, I could see the axle was in focus, the ground and the rim in touch with the ground whizzing backward beneath me, while the top of the tire was whizzing in the opposite direction at an even greater speed (2X). I then sketched out the "cycloid" - a term I wasn't familiar with till now, plus the horizontal velocity of any point on the tire (a thumb tack) which is sinusoidal. Superimposing the two curves realy messes the mind - so much so that it created the first big rift with my then girlfriend (mathematician/engineer; we're still married). The whole excercise gave me some initial insight into relativity - i.e. motion and velocity are very much dependant on the position of the observer and/or participant. Thanks for the video (and flashback)!
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
Glad you enjoyed it!
@solapowsj25
@solapowsj25 Жыл бұрын
An excellent presentation on vectors for a wheel in motion.
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
Glad you liked it!
@realcygnus
@realcygnus 2 жыл бұрын
Super ! I suspected Fourier was the next logical step. 👍
@pelxy
@pelxy 2 жыл бұрын
Absolutely excellent video, I loved the format and the pacing.
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube 2 жыл бұрын
Thank you so much!
@n20games52
@n20games52 Жыл бұрын
Physics makes what seem like ordinary things seem so amazing!
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
Ordinary things are often amazing if you look closely!
@eustacenjeru7225
@eustacenjeru7225 Жыл бұрын
This great. Complex but simply explained
@eustacenjeru7225
@eustacenjeru7225 Жыл бұрын
This is great David
@TheKhalidamarneh
@TheKhalidamarneh 2 жыл бұрын
Fantastic I wish I had a teacher explaining physics like that , I'd definitely became another Einstein . I had enjoyed every second of this video . Thank you
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube 2 жыл бұрын
Cool. That's great to hear.
@onlyeyeno
@onlyeyeno Жыл бұрын
Tanks for another interesting and instructive video, and "it's a relief" to see that sometime theory and practice actually line up :) Best regards.
@Orangelina29
@Orangelina29 Жыл бұрын
I like your deep vision of things around you. "Dimensional view".
@xinpingbao1942
@xinpingbao1942 Жыл бұрын
Thank you!!! Great video and great explanation!
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
Glad you enjoyed it!
@TomSimon-Norris
@TomSimon-Norris 7 ай бұрын
Superb video.
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube 7 ай бұрын
Thanks! Please consider subscribing and sharing the video with others!
@SynomDroni
@SynomDroni 2 жыл бұрын
13:02 can there be "motion at one instant of time"? I can only understand passing of time as an integral part of motion, meaning:no time elapsed=no distance travelled.
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube 2 жыл бұрын
Assume something is moving with a constant velocity. Does it move at every instant of time? I think so. You may not be able to *calculate* the speed at a single instant of time, and based upon that single instant you might not know it's moving, but that doesn't mean it *can't* be moving.
@wadi3un
@wadi3un Жыл бұрын
Amazing Video, Understood very well I hope you upload more because your content deserve more appreciation 🙏
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
Thank you. I’m about to make a new batch of videos, so stay tuned!
@thecarman3693
@thecarman3693 Жыл бұрын
Although it would add to the length of this video it might be worth pointing out the advantages of the point on the very top of a rolling wheel --- noting that it basically is the end of a 2nd class lever with a fulcrum at the wheel's bottom. This fact allows one to push a car on a level surface with about half the force needed should one push from the rear bumper, making the task much easier. Also, it's why no matter what size glass plate you have in a rotating microwave oven, the glass plate will rotate at twice the angular velocity of the carousel wheel it rides upon. And why tank treads move at twice the tank's speed when running on the top as opposed to the ground, no matter the configuration.
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
Nice comment...some very interesting points indeed!
@lxathu
@lxathu Жыл бұрын
35 yrs ago, the teacher of mechanics promised one degree better grade for those who can write a code that draws the path of a point of a rolling wheel on the schools Commoder 16s. We were not bad at coding and not bad at math, still we could not grasp the function that describes that motion although we knew it was called a cycloid. Since then, this story came to my mind once in a while but I didn't put much energy in imagining it again and solving that good old task. It was nice remembering it again and moving a step closer to the solution that waits for me to go on pension.
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
So glad I could bring that memory to you!
@damartimantilla
@damartimantilla 2 жыл бұрын
Nicely done! Will be using for my class!
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube 2 жыл бұрын
Great! I hope it's helpful. And please feel free to share with others who might be interested!
@Ni999
@Ni999 Жыл бұрын
Is it worth doing a video on Aristotle's (not a) paradox? New to the channel, great work, many thanks, subscribed. 👍😀
@eutectoid1
@eutectoid1 Жыл бұрын
Mate I wish I had physics lecturers like you in Uni - my physics exams would have been a breeze as opposed to what I experienced !
@SneakyTogedemaru
@SneakyTogedemaru 2 жыл бұрын
The greatest tesla adv that can exist XD Amazing work, as all your videos I've seen so far )
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube 2 жыл бұрын
Thank you! Please feel free to share with others who might be interested!
@eamonia
@eamonia Жыл бұрын
You rock, dude.
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
Probably because I used to play in a progressive rock band! 😄
@bartpastoor1028
@bartpastoor1028 Жыл бұрын
So would a picture taken not show the point of contact being sharp image, whilst at top it is vey blurry? That would be a convincing demonstration for me. Like your explanation and your animation (watched it without audio/subtitles, you may have discussed it)
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
Yes it would, and it's in the video. Watch it again, that's one of the most convincing parts!
@vaderbase
@vaderbase Жыл бұрын
Holy moly. I learned something while sitting in the train. ❤❤❤
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
Awesome!!
@RickReid-nh6gm
@RickReid-nh6gm Жыл бұрын
Even cooler is that on a train the part of the wheel rim below the top of the track is moving backwards
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
@@RickReid-nh6gm Yes, that may very well be cooler. I thought about going into this, but thought there was already enough (perhaps too much) in this video. Believe it or not, this concept comes back in the Square Orbits video (Part 1).
@olavgartner1031
@olavgartner1031 2 жыл бұрын
Amazing Video
@dritemolawzbks8574
@dritemolawzbks8574 Жыл бұрын
I know the two are totally unrelated, but is the blurring of the round dots @ 2:45 caused by a similar phenomenon or measurement uncertainty that makes position and momentum of quantum objects probabilistic instead of deterministic?
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
No, this is simple motion blur. The dots are moving while the camera shutter is open; the more they move the more they are blurred.
@Channel-tg2vm
@Channel-tg2vm 3 жыл бұрын
This is nice, David!!
@sarahstover4485
@sarahstover4485 2 жыл бұрын
Nice job!
@chadchampion7985
@chadchampion7985 9 ай бұрын
4:23 Quick question: how is omega a vector? What is its direction?
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube 9 ай бұрын
The direction is perpendicular to the plane of circular motion, with the direction given by the right-hand rule (if the fingers of your right hand curl in the direction of circular motion, then your thumb gives the direction of the angular velocity vector.
@tongelsing8570
@tongelsing8570 Жыл бұрын
Although I understand the explanation, it is/has always miraculous to me how a wheel/car can moving while the point at the ground is motionless. I had also that same feeling when looking at the track of a moving tank. (didn't need a high speed camera for this, to see that wonder)
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
Yes, the tank example is a great way to understand this phenomenon!
@HamRadio200
@HamRadio200 Жыл бұрын
I will never think about a rolling wheel the same again.
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
👍
@ahhuhtal
@ahhuhtal 2 жыл бұрын
Very nice presentation :-). If you need ideas for future videos: how is it possible that the friction between the ground and a wheel can propel a car. This has kept me awake at night as I just haven't been able to wrap my head around it. The point of the wheel at which the friction is acting upon is at rest (v=0), thus the power produced by the friction force (F*v) must be zero. So are car wheels in reality slipping a bit? What is going on?!
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube 2 жыл бұрын
You ask a great question, and I do plan on addressing this question. There are (at least) two more rolling wheel topics I want to address, but It won’t be until after the next couple of videos. But you are correct, the power produced by the friction is zero! Stay tuned.
@ПавелБагликов
@ПавелБагликов Жыл бұрын
Спасибо! Очень познавательно!
@dct7b
@dct7b 4 ай бұрын
The arclength of a cycloid is 4 times the diameter,, D, which means the point on the edge of a wheel is moving 4D per revolution when it is rolling without slipping, but from earlier remarks, we would assume it to be moving πD per revolution. How to resolve this contradiction? Does the translational vector end up adding (4 - π)D to the path of the point on the wheel? Perhaps due to the forward motion preventing the cancelling out that occurs when the wheel isn't rolling? Shouldn't knowing the arclength of the cycloid affect computing the velocity of the point on the wheel?
@johnwest7993
@johnwest7993 Жыл бұрын
Why didn't you show the motion of a point halfway between the center and the outer edge?
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
Just because I didn't want the video to get too long and complicated. But if you watch the square orbit video (part 1) you will see that I do exactly that!
@studybuddy6642
@studybuddy6642 7 ай бұрын
I love the text animation how did you make it 😊
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube 7 ай бұрын
I use a program called manim (a Mathematical ANIMation engine), written by Grant Sanderson of @3Blue1Brown. If you're interested, I give a shoutout to Grant in this video: kzbin.info/www/bejne/o6Kam2iggN2JY5I. Enjoy!
@cosmosben6726
@cosmosben6726 7 ай бұрын
Could you explain how friction causes a wheel to begin rolling forward?
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube 7 ай бұрын
If there were zero friction, then the wheel would be totally unaffected by any horizontal forces from the ground. Thus, if it was not spinning at all, it would remain "not spinning" while sliding along the ground (think of really slippery ice). But if there is friction with the ground, then the ground will impart a horizontal force acting at the point of the wheel in contact with the ground, and this force will cause a torque about the center of mass, which will lead to an angular acceleration about the center of mass. The result is that the wheel's rotational velocity will change. If it is not rotating initially it will begin to rotate due to the friction force from the ground. Hope that helps!
@cosmosben6726
@cosmosben6726 7 ай бұрын
@@AllThingsPhysicsKZbin Thank you for your reply! I would like to know how friction makes a wheel roll forward or backward instead of just spinning in place. I understand that friction provides the force to make the wheel roll, but I'm unsure about the specifics of how this happens. I have an explanation, but I'm not sure if it is correct. Could you please take a look at it? Here is the link: kzbin.infolxwDwGvLbP0?feature=share (KZbin will delete my comment if I it has external links, so I change the picture to a video, and put text in the comment).
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube 7 ай бұрын
@@cosmosben6726 The mechanism of how a spinning wheel becomes a rolling wheel is discussed in detail in this video: kzbin.info/www/bejne/l6atgaiwgM6afaMsi=n-2dwlVCTXjbzvB7.
@SuperShadowP1ay
@SuperShadowP1ay 2 жыл бұрын
Excellent video! I'd liken your videos to a physics version of 3blue1brown videos. Fascinating and incredibly well taught concepts! I'm amazed your channel only has a few thousand subscribers.
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube 2 жыл бұрын
Cool, thanks! Please feel free to spread the word, I'd love it if a few thousand subscribers became a few hundred thousand!
@Observ45er
@Observ45er Жыл бұрын
From the way you analyze things in the few videos of yours that I've watched so far, I suspect you would also find the Acceleration of points on the wheel interesting. That motionless point at the bottom is undergoing acceleration. . .
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
Indeed it is!
@AntonBurnsRed
@AntonBurnsRed 2 жыл бұрын
This is all from the point of view of the observer attached to the ground. An observer attached to the axel would argue no points on the wheel are at rest. And an observer attached to a point on the wheel would likely feel no movement, only a force, proportional to the wheels rotation speed, in a direction away from the axel.
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube 2 жыл бұрын
Yes…frame of reference is the ground. But if you’re on the axle, wouldn’t the wheels center look to be at rest? And if you’re on the wheel itself, I definitely think you’d feel movement…I mean, you’d get dizzy as hell (unless you happened to be at the center of the wheel), wouldn’t you?
@AntonBurnsRed
@AntonBurnsRed 2 жыл бұрын
@@AllThingsPhysicsKZbin If your reference was the axle then there would be a point at the wheel's centre of rotation that doesn't change its position relative to you, but it would just be a point, not an actual area. Every single atom in the wheel would be rotating and tracing a circle around that point, and if there was an atom that was absolutely perfectly aligned with that centre of rotation then it would not be moving, but it would still be rotating and therefore not at rest. I think of being on the wheel as the Hermes spacecraft in that movie The Martian, where they create an artificial gravity by spinning up a circular part of the space station. You might get dizzy if you hang out in the centre of the wheel as you would be approaching a point where you're just spinning on the spot. But otherwise you would just be pressed against your surroundings; either the other atoms in the wheel if you're actually a part of the wheel, or just pressed against the circumference of you were an object inside the tire.
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube 2 жыл бұрын
@@AntonBurnsRed You are correct that it is only a mathematical point that would be truly at rest at the center of the wheel. And yes, in whatever frame YOU are in, you would appear to be at rest (to yourself).
@chadissimusrex8038
@chadissimusrex8038 2 жыл бұрын
Math & Physics hippies are the best hippies.
@mariocaponnetto9439
@mariocaponnetto9439 Жыл бұрын
Bravo
@fredsalter1915
@fredsalter1915 Жыл бұрын
Kinda like watching a tank track. The lower part of the track in contact with the ground doesn't seem to move. The upper track seems to move twice as fast as the tank itself.
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
Yes indeed! I hadn’t thought of that!
@johningram2153
@johningram2153 Жыл бұрын
That's the first thing I thought about when he asked the question. When I was a kid, watching a parade, I was surprised to see that the part of the tank tracks that were touching the ground didn't move at all. It's not that they didn't SEEM to move. They actually don't move. I seems to me that they do APPEAR to be moving, especially from a distance. But up close, as a kid watching a parade, it was clear to me. What was less clear at the time was that the top of the track is moving at TWICE the speed of the tank, as you mentioned, and as the video mentioned about wheels also.
@fredsalter1915
@fredsalter1915 Жыл бұрын
@@johningram2153 On second thought, the tracks are constantly moving.... relative to the tank :P
@johningram2153
@johningram2153 Жыл бұрын
@@fredsalter1915 yeah, but I meant relative to the ground.
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
@@johningram2153 I had not thought of a tank (or bulldozer) when I was making this video. Wish I had, I would have included that as an example!
@philhoward4466
@philhoward4466 11 ай бұрын
can i roll the wheel at the speed of light (299792458 m/s) ?
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube 10 ай бұрын
You can try! 😂
@dominiquefortin5345
@dominiquefortin5345 4 ай бұрын
How about the Aristotle's Wheel Paradox ?!
@josephzamudio7515
@josephzamudio7515 Жыл бұрын
What happens when the wheel rolls on a treadmill?
@wesbaumguardner8829
@wesbaumguardner8829 Жыл бұрын
Technically, the ground is not at rest because it is moving, we just do not realize it because it is not moving relatively to us.
@leonardogoncalves4433
@leonardogoncalves4433 3 ай бұрын
They activated Mangekyō Sharingan!!! BE careful! 5:35 Pretty good genjustu, video I mean!
@BariumCobaltNitrog3n
@BariumCobaltNitrog3n Жыл бұрын
This is relative to the ground. Relative to the center of the wheel, the bottom of the wheel is moving backwards and the top is moving forward faster than the center. The front AND rear are not moving at all. Motion is relative, in this case I think the relative is middle sibling.
@fijs653
@fijs653 Жыл бұрын
how about , 'rolling wheel' ; a continuous falling mass overcoming friction by circular motion , momentum and or any means of external force ?
@graemetho9805
@graemetho9805 Жыл бұрын
It is a trick based on the wording. You first say that at "each instant of time" and does not mention that in every instant it is a different point. If you don't catch the significance of "each instant of time" it leads one to think that there is a single point that is not moving. But given that a tyre distorts when it has weight on it, it is not an instant (ie Delta t =0) it would actually be a measure time and instead of a point it is a segment.
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
I’m assuming a perfect situation, with only a single point of contact, even though this is surely not realistic.
@pulsefel9210
@pulsefel9210 2 жыл бұрын
mathmatical proof that slamming into something stops you cold and momentum will make the rest of you move.
@atharvbodke3040
@atharvbodke3040 Жыл бұрын
This can say that even though the point is covering 2πr distance in time period T but then also it isn't covering exactly 2πr/t distance in unit time Or the velocity isn't constant .......🤷
@eeetube1234
@eeetube1234 Жыл бұрын
Air is compressed and the tier is bended, and it acts more like caterpillar
@Chris-op7yt
@Chris-op7yt Жыл бұрын
the non rotating centre of wheel is there for real, not just mathematically. it is however impractical to observe with current experimental technology. wow, that's exactly what i was guessing before you showed it, that a wheel rolling on a surface moves its' centre of rotation, to impart the movement.
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
I think it's debatable whether the true center of the wheel exists physically. I mean, you can always zoom in more and more and you will continue to see that everything is rotating about some ever smaller region, and this can go on forever!
@Chris-op7yt
@Chris-op7yt Жыл бұрын
@@AllThingsPhysicsKZbin : it's no different to trying to show the gravitational centre of two bodies. the point really does exist but, we are limited in being able to point it out, as measurement doesnt allow infinite precision. would you say you cannot find the centre of a 40cm ruler? because the same ruler can be spun around centrepoint to scribe a perfect circle at ruler ends.
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
@@Chris-op7yt Correct, I would say I cannot find the center. I agree that there IS a center, but finding the true center point physically doesn't seem possible. 😉
@wesbaumguardner8829
@wesbaumguardner8829 Жыл бұрын
Not even the mathematical construct at the very center of the wheel is stationary because it is both rotating and moving laterally with the rest of the wheel.
@morchel332
@morchel332 2 жыл бұрын
earth is flat and therefore wheels are rectangles.... jokes by side, cool video :P good visual presentation of the concept =)
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube 2 жыл бұрын
I'm actually thinking of making a square-wheels video.
@morchel332
@morchel332 2 жыл бұрын
@@AllThingsPhysicsKZbin u mean canadian wheels? :D
@kriswillems5661
@kriswillems5661 2 жыл бұрын
The speed is zero, but the acceleration is not. It's like when tou throw a rock straight up in the skies. At its highest point the speed will be zero, but the acceleration is not. I didn't know you can call accelerating things "at rest". That just sounds weird to me, language wise, even if the speed is zero.
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube 2 жыл бұрын
Yes, I debated long and hard over using the phrase "at rest" and tried to always qualify it with something like "there's always a point when it's at rest" to imply that it is only instantaneously at rest.
@klevisimeri607
@klevisimeri607 2 жыл бұрын
I like to imagine it as a vector field of speed and as a vector field of acceleration. At the zero speed point the speed is zero but the acceleration is not, so the next instant the speed will be bigger than zero, because of this axeleration. As a result, the point will move around the tire, but at that that specific time (instantaneous) when the point in the tire touches the ground the velocity is zero. Who wants to know more: The direction of acceleration at that "zero velocity" time is ⬆️ up from the ground.
@klevisimeri607
@klevisimeri607 2 жыл бұрын
And the speed is zero the acceleration is not, made it click for me.
@SirPaulMuaddib
@SirPaulMuaddib Жыл бұрын
Wait a second, ok, this is a year old, but did I hear you correctly? You said that a rolling non-slipping wheel, that every point on the wheel has the same translational speed. Isn't the point at 12 noon going to 3 o'clock going faster than the point that was at 3 o'clock and going to 6 o'clock? The 12 o'clock would be going faster and the 3 o'clock point would be going slower....(?)
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
I don't think you heard it correctly. You can think of a rolling wheel as having a combination of a purely translational velocity, in which every point moves with the same translational speed, plus a purely rotational velocity, in which every point rotates about the center. The actual motion of a rolling wheel is the sum of these two motions. So yes, ultimately the point at 12 O'clock is moving faster than any other point on the wheel. Does that make sense?
@veganismyname
@veganismyname Жыл бұрын
The math is handy to know, but to my knowledge we have no proof of the concept of a single point in space or time. It's possible that space and time are quantum phenomena that increment in non-infinitesimal quantities, making the instant of time and space of that "contact point" impossible.
@placeholdername3907
@placeholdername3907 2 жыл бұрын
Dont all wheels roll?
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube 2 жыл бұрын
Depends on what you mean by "roll." Some wheels "roll" without slipping, and some "roll" while slipping.
@placeholdername3907
@placeholdername3907 2 жыл бұрын
@@AllThingsPhysicsKZbin so basically wheels that are road safety hazards are the ones that slip
@Radiium
@Radiium 3 жыл бұрын
The setup felt similar to kzbin.info/www/bejne/hojZeoyLlL9rsJo lol, great video and explanation!
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube 3 жыл бұрын
Hello. Yes, I made use of (and adapted) the wheel graphic from your video (thank you); it is a very nice image that allowed for a seamless connection to the car scene and the white wheel I was using in the lab.
@rantallion5032
@rantallion5032 Жыл бұрын
think of the wheel as a bunch of sticks bound at the center point. remove all but one stick.
@jenspi4725
@jenspi4725 Жыл бұрын
This is another really cool video. It's neat to revisit these mechanics topics. I don't know if Relativity will ever be a subject that you address, but if it is I hope you can tackle a question for which I have never been able to find an answer. So far as I know, empty space does not impose a drag force on material objects that move through space. So, if you threw a hammer in the most remote section of the Bootes Void, it would move in a straight line for a very long time -- no drag force to decelerate it [assuming perfectly empty space]. So if there is no frictional interaction between matter and space, why do the galaxies get carried along with space as it expands? What force is binding the galaxies to space so that the expansion of 3d space manifests as the movement of physical matter?
@edwinov
@edwinov Жыл бұрын
I'm homing in (hehe) on your use of my pet peeves. At 2:23 you say you used a "fast shutter speed", which is of course not true. You use a fast shutter. Or a high shutter speed. or a high speed shutter. But not a fast shutter speed, or fast speed shutter. It's funny how instinctively when we would say 'fast speed shutter' we know it's wrong but change the order to 'fast shutter speed' and suddenly - though still wrong - it sounds less wrong, probably because we've heard it (wrong) so often. Oh, and at 11:54 you mention a slow shutter speed. On topic! If the top of the wheel is travelling at twice the translational speed of the wheel, would that mean a car could never go faster than half the speed of light as that would mean the top of wheel would exceed the speed of light? Alternatively, could we have a loooong metal rod attached in the middle (like a propeller) to some extremely mega super powerful electromotor and floating somewhere in space where the rod itself has a length of c/(2*Pi) = say 48.000 km and have the electromotor drive the rod with a frequency of 1 Hz? Because that would mean the ends of the rod would move a distance of 2*Pi*R per second and exceed the speed of light? At least in the frame of reference of the electromotor. I've been thinking about that very question for decades.
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
It’s you again!! 😉. Yes, you are right about the (fast or slow) shutter speed, and happy to see you homed-in on it! Regarding your more on topic question, I will have to punt. Relativity, especially when it comes to rotational motion, is very challenging to understand. So at the very least I’ll have to think more about this before attempting any kind of answer.
@edwinov
@edwinov Жыл бұрын
@@AllThingsPhysicsKZbin Yeah, sorry, it's me indeed. I'm a physcist myself though not working in physics so all knowledge is buried somewhere deep down there. The relativity thing is a question I have been thinking about ever since I first learned about it in the 80's. Would love to see an episode on that topic!
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
@@edwinov I will eventually delve into some topics in relativity, but I've got a long list of other topics that I want to discuss first so it will likely be a while.
@edwinov
@edwinov Жыл бұрын
@@AllThingsPhysicsKZbin "it will likely be a while"... That's all relative.
@AllThingsPhysicsYouTube
@AllThingsPhysicsYouTube Жыл бұрын
@@edwinov 😂
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