Sine Wave | Simple Explanation on a Giant or Ferris Wheel | Trigonometry | Learnability

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!

[@reetbedi7617]

Awesome! breaking it down to just a simple circular motion helps to understand it a lot better than textbook equations 😀 Thanks!

[@RoseUniversity]

You're very welcome!

[@STalwar2185]

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).

[@RoseUniversity]

Correct!

[@andrewfetterolf7042]

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.

[@RoseUniversity]

Andrew, hint: please take a look at the x (time) axis of both plots closely. Its a trick question. Thanks!

[@funfactory6273]

@@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.

[@NcCreeker]

New appliances will only work off this wave. All my off gridders out there

[@jienasiqiaoyi8258]

Both rotates with the same speed. Big wow, plane & simple explanation. Great👍

[@monoman4083]

sine up 4 more videos..

[@duckymomo7935]

this video and channel is underrated, wtf

[@mannatverma9276]

Knowledgeable video,well explained, waiting for more knowledgeable and interesting videos

[@RoseUniversity]

Thanks!

[@shashidharshettar3846]

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”

[@RoseUniversity]

Wow! I did not know that. Very interesting. Thanks for supporting the channel!

[@bedivinod80]

I had some idea about sine wave, After seeing this wonderfully explained video now I know what it is !!!!

[@RoseUniversity]

Great!

[@Itsuki_joestar]

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!!!

[@RoseUniversity]

Glad it was helpful! Would love to see a real model! Thanks for supporting the channel and roseuniversity.org

[@sonixSZ]

I missed the basic of 5 year class, and i found it in 6 minutes video. Thanks Sir!

[@RoseUniversity]

Haha thanks for the appreciation and supporting the channel Sonix!

[@AlterAnima]

brilliant! 33 yrs to come accross this video and finally understand! Thank you!!!

[@RoseUniversity]

Tatiana, that is very encouraging! Thanks for the motivation and supporting roseuniversity.org!

[@kevinmedeiros3535]

Me too! I'm literally 33.

[@lodgechant]

This is SO helpful - thank you! It makes everything so clear!

[@RoseUniversity]

Thanks for the appreciation and encouraging us!

[@ayub365]

Excellent. After 25 years later I got this explanation

[@RoseUniversity]

Glad it helped! Thanks for supporting the channel and the appreciation!

[@shera999]

Can u explain square wave also ...?

[@RoseUniversity]

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 ...

[@carultch]

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.

[@vertigo6982]

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

[@YTtijbedi]

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...

[@RoseUniversity]

Thanks! Will do

[@xa-12musk8]

Actually explaining the concept rather than purely how to utilise it. Thank you so much.

[@RoseUniversity]

Glad it was helpful! Thanks for supporting the channel and Roseuniversity.org

[@AXELPEREZ-hg2oh]

Excellen video, perfect explanation with graphics. Thank you.

[@RoseUniversity]

Thanks for the encouragement Axel!

[@nitakumari4670]

Thanks a lot for sharing this video and simplifying a sign wave so wonderfully. Well explained video 👍

[@RoseUniversity]

Thank you!

[@CD10ANIL]

BEST video explanation, I have seen till now.👌

[@RoseUniversity]

Thanks a ton!

[@TMinusRecords]

Your intro song is "the lick"

[@muralikrishna1097]

What a fine visual explanation? I like your way of explanation, too.

[@HenrikMyrhaug]

Damn, I was completely fooled by the last question until you pointed out the axes!

[@RoseUniversity]

It shows you were paying attention and trying to understand the concept! Thanks for watching Henrik

[@jyotisurve2907]

Thanks for such a wonderful explanation. Keep making videos for concepts in mathematics. You just earned a new subscriber. Gr8 work again.

[@RoseUniversity]

Thanks Jyoti!

[@prachirahate1631]

Brilliant explanation.

[@JosemariaCarrascoMolina]

Very good explanation! Cheers!

[@RoseUniversity]

Thank you! Glad it was helpful

[@brindaahuja8283]

Wow!! never learnt this way, explained beautifully, simply and clearly!!

[@RoseUniversity]

Thanks!

[@aena_]

best video explanation

[@RoseUniversity]

Glad it helped!

[@BoutiqueLaTrice]

Great explanation!

[@maverick210885]

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

[@RoseUniversity]

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!

[@rachnatyagi7550]

Good explanation.. 👌👌👏👏

[@RoseUniversity]

Thank you!

[@solarpanel704]

good work

[@RoseUniversity]

Thanks

[@shaansingh2860]

Very informative video 🙌

[@RoseUniversity]

Thanks!

[@fuzzbucket00]

This is amazing. Thank you so much for these wonderful videos. I wish I learned this in school

[@RoseUniversity]

Thanks for the appreciation and supporting the channel Katerina!

[@adityabhusari9645]

Simply great explanation

[@RoseUniversity]

Thanks! Glad it was helpful

[@silvershield2342]

Excellent presentation!

[@RoseUniversity]

Thanks for the motivation and supporting the channel!

[@johnnybee1776]

Best explanation I have ever seen or heard, Thank You.

[@RoseUniversity]

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

[@deepasinghal4729]

Loveeee it. God, finally I understand the practical of sine, yayyyy. Bless you

[@RoseUniversity]

Thanks so much for the appreciation and supporting roseuniversity.org

[@victorlavender1688]

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?

[@RoseUniversity]

You got it!

[@nitakumari4670]

Beautifully and deeply explained , well done,desperately waiting for more knowledgeable videos

[@RoseUniversity]

Thank you

[@vedantmanjarekar8983]

This is a great video on understanding and visualizing sine waves. Thanks ❤🙏

[@RoseUniversity]

Glad it was helpful! Thanks for supporting the channel and Roseuniversity.org

[@MohammadBenSalamah]

Excellent!

[@vinialves12362]

You got me with the final question. I didn't pay much attention to the axis information.

[@RoseUniversity]

haha! Just making sure you notice the axis, you got it! Thanks for supporting Rose University!

[@huezos4548]

Excellent visual explanation!!!

[@RoseUniversity]

Thank you!

[@naser687]

Great explanation.... Thanks a lot..keep continue.... Awesome

[@RoseUniversity]

Thank you!

[@schhugan]

very wonderfully illustrated and articulated

[@RoseUniversity]

Thank you!

[@shanemxwilliams2]

They are the same size Ferris wheel, but the blue one is faster! (I hope) Either way, hats off for this exaplanation. It was well worth the RUclips digging through a few other videos to find this one. This is going to help me so much. Thank you, thank you, thank you!

[@RoseUniversity]

Hi Shane, thanks for the appreciation! Take another look at the horizontal (x) axis of both plots and you'll realize that they are rotating at the same speed!

[@ronniechilds2002]

The origin of the word sine was interesting. Seriously.

[@RoseUniversity]

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 ...

[@killer151489]

you are absolutley incredible thank you so much !!!!

[@RoseUniversity]

You're so welcome! Thanks for your support!

[@osamaislampritum897]

Thank you so much sir❤
And the answer of the last question is both of the sine waves are moving simultaneously.

[@RoseUniversity]

Correct! Thanks for supporting us!

[@billjohnson4626]

Finally it makes sense, Thanks!!

[@RoseUniversity]

Glad it was helpful! Thanks for supporting the channel

[@md.nahidulalamchowdhury9568]

Thanks a lot for the clear explanation.

[@RoseUniversity]

Thanks for the appreciation and supporting the channel!

[@pengyuzhang1179]

amazing explaination , thank you Sir!!!

[@RoseUniversity]

Keep watching! More to come. Thanks for support Learnability and Roseuniversity.org

[@kar_sgj]

This was one of my college assignment . Thanks for the detailed explanation

[@RoseUniversity]

Hi Karunya, glad it was helpful! Thanks for the appreciation and supporting roseuniversity.org | Learnability

[@yousefsalman6762]

You are the best

[@bawadevau]

Very good...thanks...

[@RoseUniversity]

Very encouraging! Thank you!

[@pksivanantham]

Thanks for the detailed explanation 👍

[@RoseUniversity]

Glad it was helpful! Let us know if you're interested in other topics. Thanks

[@sudipbosu8787]

Thank you very much! ❤

[@RoseUniversity]

Glad it was useful!

[@program-with-mubarak]

Make more explanatory videos like this thank ❤❤❤❤❤❤

[@RoseUniversity]

Will do! Thanks for supporting us!

[@renukatharya7944]

Very interesting and informative video Thank You

[@RoseUniversity]

Glad you enjoyed it!

[@Biffmin]

My hero. It's starting to make sense to me now.

[@RoseUniversity]

Glad it was helpful. Check out our cosine and tan wave videos too!

[@visheshvashisth3618]

Awsmm

[@RoseUniversity]

Thanks

[@JoshuaAmmon]

Fantastic explantation!

[@RoseUniversity]

Glad it was helpful!

[@sanjayrao1767]

Thanks for revealing legacy of India

[@RoseUniversity]

It's always interesting to learn where things originate from!

[@curtismcdonald6461]

Excellent explanation! 😃👍

[@RoseUniversity]

Glad you think so!

[@tenwalls2428]

Wow. Just wow. Thanks!

[@RoseUniversity]

Glad its helpful!

[@swastikayadav7529]

Same size and same speed... loved this video ❤️❤️

[@RoseUniversity]

Correct! Thanks for supporting the channel

[@user-iz2bv9yn6t]

Really very informative 🎉

[@RoseUniversity]

Thanks for your comment and supporting the channel Sanket!

[@SumateendraJoshi-dg3fq]

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.

[@RoseUniversity]

Correct! Thanks for supporting the channel

[@budekins542]

Superb explanation.

[@RoseUniversity]

Thank you and thanks for supporting us!

[@pfever]

5:36 same speed and size size of ferry wheels, but we are recording the on the right for double the time :)

[@RoseUniversity]

Perfect! Thanks so much for supporting us!

[@mwerensteijn]

Thanks a lot!

[@RoseUniversity]

Welcome!

[@hrk4326]

Thank u sir thank u so much sir koi bhi mila ise sumjhane ke liye ap milge thank u sirrrrrrr🙏🙏🙏🙏🙏

[@arj123sub]

Just too too good ❤

[@RoseUniversity]

Thanks for your support!

[@lilyx___]

THANK YOU!!!

[@RoseUniversity]

You're welcome! Thank you as well for supporting the channel!

[@MuhammadPakistani]

Very good explanation. Thanks.
Can you please explain graphs of exponential functions and how can we explain related rates of change through graphs.
dy/dt = dy/dx × dx/dt
If you explain these I will be grateful and many students will be benefited with your work.

[@RoseUniversity]

Sure, thanks for the idea!

[@wun8791]

the jokes cracked me up😂

[@pinakiroy174]

Brilliant simply Brilliant

[@RoseUniversity]

Pinaki, thanks for the appreciation and supporting the channel!

[@quratulainraza1415]

well explanation

[@RoseUniversity]

Thanks for supporting the channel and roseuniversity.org

[@verlax8956]

thanks so much bro this is good

[@RoseUniversity]

Thanks for the encouragement!

[@TheManubarcafan]

Thank you very much

[@RoseUniversity]

Thanks for supporting the channel!

[@Adarsh_amd]

Really great demonstration, just wondering how the half chord relates to the wave waving?

[@RoseUniversity]

Hi Adarsh, Thanks. So if you draw parallel chords in a circle (and then just look at half chords), you'll notice that their lengths from smallest to largest (when its actually the diameter or passes through the center) and back to smallest is simply the amplitude of the Sine wave varying as it starts from time 0 ... Hope this helps!

[@Adarsh_amd]

@@RoseUniversity ah yes, it makes sense now thank you too!

[@Oracle_Speaks]

same size and same speed

[@bj73store95]

just awesome...but why so few videos?..please do upload more video on math, physics....

[@RoseUniversity]

We are working on it! Please check out RoseUniversity.org Thanks for supporting the channel!

[@Lauren-db7hb]

Wow..

[@shraddha23-]

Really helpful ❤

[@RoseUniversity]

Thanks for the appreciation and supporting the channel!

[@shraddha23-]

@@RoseUniversity eagerly waiting for more such content. Please do upload difference between voltage, potential, emf. With such physical interpretation.

[@RoseUniversity]

Thanks for the topics!

[@shivam2730]

Ancient vedic India 🇮🇳 is incredible 😊😊😊

[@RoseUniversity]

Thank you for supporting the channel!

[@silkylofton]

Beautiful absolutely beautiful

[@RoseUniversity]

Thank you! Cheers!

[@TheKr0ckeR]

LOL.. that cosine wave tip really made me laugh XD

[@RoseUniversity]

haha thanks for supporting the channel!

[@MiG-25IsGOAT]

World's most underrated video on youtube.

[@RoseUniversity]

Thanks for the appreciation and supporting the channel!

[@fotoyartefotoyarte1044]

amazing, just one thing: the name of the wave has to do with the concept sine from geometry; I think not explaining that and only explaining the origin of the word will confuse some. Otherwise a fantastic fantastic video. Thanks a lot!

[@RoseUniversity]

Hi, thanks for your suggestion and supporting the channel!

[@radekhurkaa8610]

great ;)

[@RoseUniversity]

Thanks!!

[@jakezhenry007]

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.

[@RoseUniversity]

You are correct! Thanks for supporting the channel and Roseuniversity.org

[@elbeantako8411]

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.

[@RoseUniversity]

Great way to think about it that way! Thanks for your comment and supporting us!

[@ayub365]

Which software used for this woderfull animation? Thanks a lot

[@RoseUniversity]

We used MATLAB for all our simulations. Thanks for supporting us!

[@user-yd3jp8lz5t]

Same speed thaks sir

[@RoseUniversity]

Correct! Thanks for supporting the channel and roseuniversity.org

[@amirmaths3793]

Good ❤❤

[@RoseUniversity]

Thanks for supporting the channel and Roseuniversity.org

[@NcCreeker]

Wana know how dc transfer cycled can be helped ...DC capacitors. Helps an off grid systems batteries during charging cycle. 4:25

[@RoseUniversity]

Hi there, not sure what you're asking. Can you explain a little more?

[@yogesh197322]

❤❤❤❤❤❤ thank you 🥰🤩😍

[@RoseUniversity]

Glad its helpful!

[@james77011]

😃😂 at time 5:57 was amazing 😻

[@dineshkamnani]

Why don't you make more videos?
It is extremely great 👍
Pls start making more videos 🙏

[@RoseUniversity]

We will, thanks for the appreciation!