Sine Wave | Simple Explanation on a Giant or Ferris Wheel | Trigonometry | Learnability
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- เผยแพร่เมื่อ 28 ก.ย. 2024
- Learn the fundamentals of a Sine Wave! It is extensively used in physics, engineering, mathematics, and countless other fields. A giant or Ferris wheel is used as an analogy to explain the concept. A sine wave can be just visualized as the vertical component of a simple circular motion. It's plotted as position vs time or angle as the giant wheel rotates.
High school and undergraduate physics, math, and other sciences may benefit from learning fundamentals of this very useful waveform
The Origin of the word "Sine" is also discussed.
The complement to the Sine wave is a Cosine wave which is also hinted upon at the end of the video (horizontal motion of the giant wheel). Finally, check your understanding of a Sine wave's amplitude and oscillations with a question at the end of the video.
Answer to the question at the end of the video:
A) Both giant wheels (red and blue) are rotating at the same speed. The difference is that 2 rotations are shown for the blue wheel if you look at the time axis carefully.
B) Both giant wheels are the same size. Look at the amplitude on the vertical motion. It's +200 and -200 feet, so both giant wheels are 400 ft in diameter. (which by the way, is very close to the height of the London Eye Giant Wheel. The Hong Kong Observation Wheel is half that diameter, around 200 feet, so an amplitude of 100 feet from start)
Appreciate your time and thank you for watching my videos! It would be great if you would hit the thumbs up button, subscribe, and share the video with somebody who might be interested in this topic.
More videos to follow!
Wow!! I will probably remember this forever now. The answer to the question should be same size (because of same Amplitude) and same speed (because of the same amount of time it takes to complete one oscillation).
Correct!
The second, (blue wheel) is CLEARLY spinning twice as fast as the red wheel and it is the same size. So you are wrong, and the author of the question just made t10 = 20 and t20 = 40 in the blue to make it a trick question.
Andrew, hint: please take a look at the x (time) axis of both plots closely. Its a trick question. Thanks!
@@andrewfetterolf7042 The question is visually tricked. For first one the motion recorded slow in video, while for second one motion recorded in video faster, that's why it looks that way, but looking at X and Y axis things are different. And for the same reason, X axis in second one is made bigger.
New appliances will only work off this wave. All my off gridders out there
Both rotates with the same speed. Big wow, plane & simple explanation. Great👍
Awesome! breaking it down to just a simple circular motion helps to understand it a lot better than textbook equations 😀 Thanks!
You're very welcome!
Knowledgeable video,well explained, waiting for more knowledgeable and interesting videos
Thanks!
Succinct and effective video. A sign wave explained with a very good analogy! Would you please also share some real life problems this waveform helps us understand and perhaps solve...
Thanks! Will do
Actually explaining the concept rather than purely how to utilise it. Thank you so much.
Glad it was helpful! Thanks for supporting the channel and Roseuniversity.org
This I so understandable even if its 2 years ago it's still understandable !!! thank you I'm going to use this example in my maths expedition and make a real model thank you!!! This is so helpful to me!!!
Glad it was helpful! Would love to see a real model! Thanks for supporting the channel and roseuniversity.org
sine up 4 more videos..
Thanks for Indian Sanskrit contribution “Ardhya” we still use the latter word in our daily social communication for example “give me half of the fruit or any item by saying “give me Ardhya”
Wow! I did not know that. Very interesting. Thanks for supporting the channel!
London Eye - one day i'll be there! So the sine wave just tell's me the height of the person on the giant wheel and cosine the horizontal displacement .. right?
You got it!
best video explanation
Glad it helped!
Beautifully and deeply explained , well done,desperately waiting for more knowledgeable videos
Thank you
Thanks for such a wonderful explanation. Keep making videos for concepts in mathematics. You just earned a new subscriber. Gr8 work again.
Thanks Jyoti!
Damn, I was completely fooled by the last question until you pointed out the axes!
It shows you were paying attention and trying to understand the concept! Thanks for watching Henrik
This is SO helpful - thank you! It makes everything so clear!
Thanks for the appreciation and encouraging us!
Excellen video, perfect explanation with graphics. Thank you.
Thanks for the encouragement Axel!
This is amazing. Thank you so much for these wonderful videos. I wish I learned this in school
Thanks for the appreciation and supporting the channel Katerina!
This is a great video on understanding and visualizing sine waves. Thanks ❤🙏
Glad it was helpful! Thanks for supporting the channel and Roseuniversity.org
Great explanation.... Thanks a lot..keep continue.... Awesome
Thank you!
Thank you so much sir❤
And the answer of the last question is both of the sine waves are moving simultaneously.
Correct! Thanks for supporting us!
You got me with the final question. I didn't pay much attention to the axis information.
haha! Just making sure you notice the axis, you got it! Thanks for supporting Rose University!
Loveeee it. God, finally I understand the practical of sine, yayyyy. Bless you
Thanks so much for the appreciation and supporting roseuniversity.org
you defined everything explicitly
Thank you for your comment and encouragement!
Thank you so much . Very Good explanation
Thank you for the appreciation! Your profile logo is very artsy!
Awsmm
Thanks
i mean what how simply you made it understand loved it man !
They are both going at the same speed, however the red wheel only completes one revolution while the blue wheel completes two revolutions, in double time than it took for the red one. They are also the same size. Please correct me if I'm wrong.
You are correct! Thanks for supporting the channel and Roseuniversity.org
thank you very much, it is useful and informative video
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My hero. It's starting to make sense to me now.
Glad it was helpful. Check out our cosine and tan wave videos too!
that was an amazing explanation sir
Thanks so much for the appreciation and support!
same size and same speed
The origin of the word sine was interesting. Seriously.
Yes Ronnie, agreed. Very interesting that the original word was simply chord of a circle. I'm guessing mathematicians didn't have any intent to create confusion but over time (and geographical distance) the name changed ...
Thanks for revealing legacy of India
It's always interesting to learn where things originate from!
well explanation
Thanks for supporting the channel and roseuniversity.org
Thank you very much! ❤
Glad it was useful!
jib in arabic means the entrance the place of entering and in trigenometry jib means the ratio of entrence of angle to its hypo . جيب تعني مدخل
That is great to know Mahmoud, thank you! That is exactly Sine(angle) definition.
لم افهم من فضلك هل يمنكك ان تعيد الشرح
Which software used for this woderfull animation? Thanks a lot
We used MATLAB for all our simulations. Thanks for supporting us!
Fantastic explantation!
Glad it was helpful!
Thank you very much
Thanks for supporting the channel!
Superb explanation.
Thank you and thanks for supporting us!
Wave or Helix, a look at the Electromagnetic Wave
The electromagnetic wave has both an electric field and a magnetic field. These are perpendicular to each other.
The illustrations online for the electromagnetic spectrum show a range of wavelengths from radio to gamma waves. But the illustrations show waves, never a helix. So which are they?
See my diagram. The electric wave is a vertical wave in red, and the magnetic wave is a horizontal wave in blue. They are perpendicular to each other.
Next see any of the numerous animated TH-cam videos on sine waves and cosine waves. Mapping a helix or moving circle or spiral with a sine wave and a cosine wave, shows exactly the same thing as my drawing.
That seems to suggest that electromagnetic waves are not waves but helixes!!! This exactly fits a sine and cosine wave mapped as a helix , spiral, or moving circle.
This seems so obvious, yet I've never seen an electromagnetic wave represented as a helix or spiral. Has anyone else?
Tom, once we make a video on light, you'll have a much better understanding and maybe get some answers to your curiosity. If you make a vector that adds magnetic and electric field, it behaves like a "helix". Please wait for
our video on Light. Your curiosity and questioning is right on track! That's what the world needs to get answers to understanding nature!
@@RoseUniversity Thanks, Responses have led me to circular polarization, which in turn led to a study on how microwaves affect electrons, which suggests this may connect up with constructive and destructive interference in charged particles, which connects up electrons and positrons...
@TomHendricksMusea Yes! Polarization is a crucial part of it!
I think that the blue wave is rotating at the same speed and amplitude as the red wave as they both complete one rotation at 20 minutes and both have a maximum and minimum of 200ft and -200ft respectively.
Correct! Thanks for supporting Learnability | RoseUniversity.org
I just remember that sine goes with the Y-axis and cosine goes with the X-axis. That’s why here you see the graph going up and down in the “one dimensional” graph along the y axis.
Great way to think about it that way! Thanks for your comment and supporting us!
NEP authorities should watch this video & do necessary changes. Gr8 explanation sir.
Thanks! Who is NEP?
@@RoseUniversity National Education Policy(NEP) under the Central Government in India.
THANK YOU!!!
You're welcome! Thank you as well for supporting the channel!
Thanks a lot!
Welcome!
Wow. Just wow. Thanks!
Glad its helpful!
Good ❤❤
Thanks for supporting the channel and Roseuniversity.org
Really helpful ❤
Thanks for the appreciation and supporting the channel!
@@RoseUniversity eagerly waiting for more such content. Please do upload difference between voltage, potential, emf. With such physical interpretation.
Thanks for the topics!
LOL.. that cosine wave tip really made me laugh XD
haha thanks for supporting the channel!
Just too too good ❤
Thanks for your support!
great ;)
Thanks!!
WoW
The speed of the two sine wave are also the same
Janus, that is correct! Thanks so much for supporting roseuniversity.org and learnability!
Same!
That is correct!
I rlly i could understand wat sin nd cos means coz of u i awe u one xDDD
Glad its making sense!
Both are same
Correct!
Same speed, the graph on the right has twice the amount of time
Correct!
Both giant wheel take equal time to complete one revolution in 20 minute...
Correct! Thanks for supporting the channel and Roseuniversity.org
Same Size and Same speed for the last question
Correct you are
Blue
Hi Wares! Please check the x-axis again!
i think they are the same!!!!!!
You got this! Correct!
❤❤❤❤❤❤❤❤ ❤❤❤
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the link of SINE with INDIA that too 2000 yrs ago!
thats th sign of advancement of that time
Harris Deborah Clark Eric Thompson Deborah
🙏🌹
Same speed 😂😂😂 first one shows 1 cycle in 20 minutes and second one shows 2 cycles in 40min which is 1 cycle in 20 min so they are same size and same size 6:00
Correct! Thanks for supporting the channel!
Can u explain square wave also ...?
Hi! Do you mean square waves used in data communication? or square waves seen on surface of water? Send me a picture of what you're curious about ...
Square waves are ultimately a superposition of multiple sine waves, with a pattern of increasing frequency called harmonics, and decreasing amplitude as frequency increases. Look up the Fourier series of a square wave, and Fourier transform that generates them.
Good mention. You should do a video on square waves. I watched some embedded electronics videos where the guy would throw them on that wave machine to explain inverters & transformers IIRC and there were times where the waves were square shaped instead of a nice sloping rounded line
I had some idea about sine wave, After seeing this wonderfully explained video now I know what it is !!!!
Great!
this video and channel is underrated, wtf
Thanks a lot for sharing this video and simplifying a sign wave so wonderfully. Well explained video 👍
Thank you!
Your intro song is "the lick"
Very informative video 🙌
Thanks!
good work
Thanks
Good explanation.. 👌👌👏👏
Thank you!
I missed the basic of 5 year class, and i found it in 6 minutes video. Thanks Sir!
Haha thanks for the appreciation and supporting the channel Sonix!
BEST video explanation, I have seen till now.👌
Thanks a ton!
Excellent. After 25 years later I got this explanation
Glad it helped! Thanks for supporting the channel and the appreciation!
brilliant! 33 yrs to come accross this video and finally understand! Thank you!!!
Tatiana, that is very encouraging! Thanks for the motivation and supporting roseuniversity.org!
Me too! I'm literally 33.
Wow!! never learnt this way, explained beautifully, simply and clearly!!
Thanks!
4:40 most indians don't even know this.
Brilliant explanation.
How come this did not come in my recommendations till now... Such a beautiful video... Thanks a lot guys... This channel should have more subscribers... But I see that you have only 11 videos...I think you guys should make more videos... You have a great explanation technique... Thanks a lot and wish you the best
Thanks for your appreciation! We are working on new videos. Please suggest any topics that you would like us to make videos on as well!
Wow!! Didn't know this earlier. Simply Amazing
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5:36 same speed and size size of ferry wheels, but we are recording the on the right for double the time :)
Perfect! Thanks so much for supporting us!
the jokes cracked me up😂
Simply great explanation
Thanks! Glad it was helpful
Very good explanation! Cheers!
Thank you! Glad it was helpful
Awesome...a channel worth subscribing
Really appreciate you subscribing and the encouragement that it gives us!
you are absolutley incredible thank you so much !!!!
You're so welcome! Thanks for your support!
What a fine visual explanation? I like your way of explanation, too.
Good night
Excellent presentation!
Thanks for the motivation and supporting the channel!
Excellent visual explanation!!!
Thank you!
Excellent explanation!! One of the best I've found! Thanks a lot 👌
Glad it was helpful! Thanks so much for supporting the channel!
You are the best
Best explanation I have ever seen or heard, Thank You.
John, only few leave encouraging comments like these, thanks so much for the motivation and we're glad it was helpful! Again, thanks for supporting us
Very good...thanks...
Very encouraging! Thank you!
Very helpful me
Glad it helped, thank you for supporting us!
Since there is no increase in strecth, means both the peak values are same, the red and blue Giant Wheels have same size. If we observe the both figures, both the giant wheels complete 1 cycle in 20 mins so they have same time period.
Correct! Thanks for supporting the channel