How does a Stepper Motor work?

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  • Опубликовано: 18 окт 2016
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    Stepper motors are the one of the most widely used motor type due to its simplicity and position control capability. This video gives a step-by-step explanation of variable reluctance stepper motor and hybrid stepper motor with help of animation. It also explains the concept of half stepping.

Комментарии • 917

  • @Lesics
    @Lesics  6 лет назад +208

    Dear viewers, Please support our educational service at www.patreon.com/LearnEngineering . Your support will enable us to release 2 videos/month.

    • @fatherwu9335
      @fatherwu9335 6 лет назад +1

      Learn Engineering 一人

    • @createlifejr
      @createlifejr 6 лет назад

      Is it possible to reduce the step size if we replace the rotor and stator having different no of teeth?
      say 72 rotor teeth and 70 stator teeth will we get a step angle of 1.25 deg?

    • @NathanaelGreer
      @NathanaelGreer 6 лет назад +1

      Make a better video then maybe??

    • @wilsonkanehisa8613
      @wilsonkanehisa8613 6 лет назад +1

      Learn Engineering

    • @vasanthamahesh695
      @vasanthamahesh695 6 лет назад +1

      createlyf ,,,yaa ,,it deepends on the type of application, but normally made with 1.8degree step size,,

  • @jjosa52
    @jjosa52 7 лет назад +173

    Videos like this saves me a ton of hours learning.. Keep the great job

    • @steamsteam6607
      @steamsteam6607 7 лет назад +14

      Very smart people must make these. Such clear, simple and to the point explanations.

  • @NixodCreations
    @NixodCreations 7 лет назад +40

    This channel is great, always something actually new to learn!
    Other channels just cover the same old stuff I worked out as a kid (lift, basic electricity, basic powerplant etc).

  • @docrider7388
    @docrider7388 7 лет назад +28

    The clarity of the explanation reflects the depth of your knowledge. Your graphics team has worked hard too. You deserve every penny you get. Well earned!

  • @RapiBurrito
    @RapiBurrito 7 лет назад +37

    An amazingly explained video, you guys earn every penny that goes to your patreon.

  • @BrilliantDesignOnline
    @BrilliantDesignOnline 3 года назад +76

    As one who used steppers in my CNC, it is VERY interesting to see the design intent contained within.

  • @richardoky
    @richardoky 2 года назад +14

    I have worked on many industrial robots at an automotive company, All used servo motors with encoders attached and harmonic drives. The harmonic drive is a very high ratio speed reducer and doesn't use gears so there is almost no play, The encoder is hooked directly to the motor shaft, it consist of a thin wheel with small perforations and a led on one side and light detection on the other. As the motor turns the light going through the perforations are read and counted. So when the robot goes from point a to point b the encoder keeps track of the number of flashes there probably is a 1000 or so perforations around the disc so even a very small fraction of a rotation is even monitored. So to repeat the same moment from home position 0 point the controller just runs the servo to the same point by using the encoder data stored. A little more to it than that such as it can also tell how fast it is moving and direction by the encoder. So there is where you get the extreme accuracy, even 1/1000 of the motor rotation is counted and the harmonic drive may be 50 to 100:1 ratio.

    • @Term-0
      @Term-0 7 месяцев назад

      Does the encoder use gray coded binary, or is it just based on rotation but not exact position?

    • @Davidsavage8008
      @Davidsavage8008 2 месяца назад

      44 teeth just like a micrometer .

  • @dangerwolk9417
    @dangerwolk9417 Год назад +3

    I have learn from these chanal simple understanding ........................

  • @Kluneberg
    @Kluneberg 7 лет назад +66

    Very well explained, thanks.

  • @jrnascimento1448
    @jrnascimento1448 7 лет назад +28

    PERFECT explanation as always. Thanks!

  • @stkupr
    @stkupr 7 лет назад +65

    The most clear explanation videos from what I've seen!

    • @salmanparsi8239
      @salmanparsi8239 5 лет назад

      The same

    • @blackdaan
      @blackdaan 4 года назад

      3rd time i tried to understand this.. finally a video that explains it good..

    • @phorzer32
      @phorzer32 3 года назад

      No, I don't got it...

    • @stkupr
      @stkupr 3 года назад

      @@phorzer32 Probably, it's just not something that can be understood from the 1st time :-) At lest, as for me.

    • @phorzer32
      @phorzer32 3 года назад

      @@stkupr No, I'm just verry dumb

  • @DineshYadav14
    @DineshYadav14 7 лет назад +28

    Brilliantly explained and finally I understood how,what & why of Stepper motors and its applications.
    thanks

  • @CombraStudios
    @CombraStudios 7 лет назад +5

    Thank you for everything! At first I was skeptical of the slowness of your explanations. Now I appreciate that!

    • @CombraStudios
      @CombraStudios 2 года назад

      2 years ago I joined a company where we use this exact motor but I forgot I ever watched this video

  • @SgtJoeSmith
    @SgtJoeSmith 7 лет назад +1875

    narrators voice was done using stepper motors. lol

    • @josempulido2266
      @josempulido2266 5 лет назад +8

      Wah ha ha. You are right.

    • @nelsondarwinpaktech3954
      @nelsondarwinpaktech3954 5 лет назад +5

      ha ha,,,u r right,,,,joe,,,

    • @br6768
      @br6768 5 лет назад +7

      I feel like hes yelling at me! (lips quiver)

    • @MrLanceDBrown
      @MrLanceDBrown 5 лет назад +31

      I can barely stand this style of narration. It’s just feel incredibly fake. Please remake this and just talk to us normally next time. Thanks.

    • @mzwandilegwangwa6690
      @mzwandilegwangwa6690 4 года назад +2

      @Evi1M4chine
      O

  • @mrnaseem6507
    @mrnaseem6507 6 лет назад +4

    You guys are just amazing. Every time I click on your videos, I just know I'm gonna learn something and that too in a simplest way possible. Thanks y'all. ❤

  • @dodman0907153500
    @dodman0907153500 7 лет назад +698

    industrial robots very rarely using stepper motors. servos are much more common...
    also industrial machines NEVER use open loop system. they rely heavily on position encoders...

    • @arunendrasingh1894
      @arunendrasingh1894 7 лет назад +14

      @jozef svantner Can you explain what is a positional encoder?

    • @dodman0907153500
      @dodman0907153500 7 лет назад +104

      position encoder is feedback device.
      it is mounted directly on motor shaft (in most cases) reading motor movement and feeding it back to driver. hence the term - closed loop gathered information can be used to verify motor movement, accuracy and repeatability, compensate for high load, overload detectoin, detection an compenastion of mechanical parts wear and many more...

    • @arunendrasingh1894
      @arunendrasingh1894 7 лет назад +4

      Billy Willy what is a resolver?

    • @arunendrasingh1894
      @arunendrasingh1894 7 лет назад +5

      jozef svantner thank you for your reply. Can you shed some light on functionality of inductosyn?

    • @user-eu8ro3lx7g
      @user-eu8ro3lx7g 6 лет назад +6

      totally i agree with your opinion, anyway, the explanation about stepping motor is awesome!

  • @joshthompson1755
    @joshthompson1755 3 года назад +12

    theres a guy on youtube that makes music with these, but by the looks of it, smaller snd cheaper units. It’s awesome.

  • @ratgreen
    @ratgreen 7 лет назад +29

    Great video. Whoever invented the stepper motor is a genius.

    • @asm_nop
      @asm_nop 7 лет назад +1

      ratgreen
      the precision you can have with them is insane. imagine a SM with many more coil pairs and teeth that can do fractional stepping based on the coils that you engage.

    • @microdesigns2000
      @microdesigns2000 7 лет назад +7

      The inventor of the stepper motor is genius. The person who decided they should be made from cheap sheet metal is genius. They made stepper motors before computers to get accurate positioning by remote control, also genius.

    • @microdesigns2000
      @microdesigns2000 7 лет назад +1

      I think Oriental Motor has 5-phase steppers that do get more accurate positioning. You image, somebody delivers. I think it is patented, so they aren't too popular yet. But they are known for quieter operation and better accuracy, and higher prices.

    • @glennso47
      @glennso47 6 лет назад

      Dennis Fox Probably wasn't Al Gore.

    • @Aweoe
      @Aweoe 3 года назад

      @Evi1M4chine Yeah? What have you made genius?

  • @aashishsharma8133
    @aashishsharma8133 6 лет назад

    Best visualization I've seen yet. THANKS for this.

  • @puneetkumargupta435
    @puneetkumargupta435 2 года назад +1

    Thanks Lesics team, you have an amazing art to teach typical things easily.

  • @n3rdbear
    @n3rdbear 7 лет назад +241

    This is way better than going to class and sitting for an hour and 50 minutes listening to someone yap and draw crappy diagrams on a whiteboard.

    • @harshakoli4860
      @harshakoli4860 Год назад +1

      Ifkr

    • @BariumCobaltNitrog3n
      @BariumCobaltNitrog3n 9 месяцев назад +7

      No it isn't better. A lot of it is wrong but it doesn't matter you won't remember any of it anyway. What is reluctance? Why does Tesla use AC motors? What's the difference between stepper and induction? TL;dr

    • @martinswiney2192
      @martinswiney2192 9 месяцев назад +2

      @@BariumCobaltNitrog3nYou mean the way you forgot sentence structure?

    • @BariumCobaltNitrog3n
      @BariumCobaltNitrog3n 9 месяцев назад

      @@martinswiney2192 That didn't happen

    • @jonothankaplan
      @jonothankaplan 9 месяцев назад +4

      ​@@BariumCobaltNitrog3nhe's just trolling
      I do agree with you however, students need to learn the fundamentals and related equations to know properly what's going on.
      The original comment is just a shallow gripe about the education system

  • @skrish89
    @skrish89 7 лет назад +14

    Thank you So Much !
    Theory was not that intresting watching your video & studying know give's ma good idea how it word's .
    thank's again !

  • @pardeepchhikara2170
    @pardeepchhikara2170 2 года назад

    Best explanation of stepper motor I have seen so far. Thank you.

  • @Dartheomus
    @Dartheomus 10 месяцев назад

    Absolutely perfect animation and level of detail for an introductory video!

  • @2bikemikesguitartopics145
    @2bikemikesguitartopics145 7 лет назад +64

    very nice. the theory was great, regardless of others comments. easy to grasp for non engeneer/teckie types.

  • @nfsking2000
    @nfsking2000 7 лет назад +3

    Great 🏆 You should make a video about Switched Reluctance Motor.

  • @abdelrahmangamalmahdy
    @abdelrahmangamalmahdy 7 лет назад +2

    Thank you for making such a great video!
    I understood the first motor though I didn't get how exactly the more common one works however I got some intuitive understanding of how they work.. thanks

  • @sfkeepay
    @sfkeepay 2 года назад

    The clearest explanation for a stepper motor I’ve ever seen.

  • @bjorn5209
    @bjorn5209 4 года назад +6

    SO simple yet SO effective! Half stepping is crazy cool! Holy shit humans are amazing.

    • @uu9903
      @uu9903 3 года назад

      eyyy a fellow technology fan

    • @anonony9081
      @anonony9081 3 года назад +2

      Nature is amazing, we're just amazing at exploiting it's features :)

  • @habiks
    @habiks 7 лет назад +427

    To be accurate.. most robotic arms use servos not stepper.. nice explanation anyway.

    • @laharl2k
      @laharl2k 7 лет назад +12

      are those dc servos or hybrid s as in steppers with feedback loop?
      I know DCs are way more efficient and powerfull but seeing that even cnc machines use steppers makes me wonder why cant they just use brushless dcs with a quadrature encoder.

    • @habiks
      @habiks 7 лет назад

      Laharl Krichevskoy this are plain dc motors with feedback loop.

    • @laharl2k
      @laharl2k 7 лет назад +1

      Google+ SUCKS BALLS - the worst forced social network
      wish i oul get one of those. I've been trying to get a dc motor with an passable res encoder and the built in reduction and no luck, i either find the motor with one or the other, but never the two at the same time :(

    • @thundercactus
      @thundercactus 7 лет назад +16

      Some servomotors are closed loop stepper motors. Although AC motors are the most common, but older machines tend to use DC brush motors, not stepper motors.

    • @laharl2k
      @laharl2k 7 лет назад +1

      thundercactus yeah, and those are expensive as fuck!
      If it's not for a very expensive machine, or if it is for some home project, better use a dc motor with an encoder and an arduino pro mini as the pid positional control.

  • @juans6639
    @juans6639 6 лет назад

    Excellently explained and thanks a million for NOT having any background RAP CRAP noise OR any other distracting sounds.

  • @owaisqureshi2663
    @owaisqureshi2663 7 лет назад +2

    Very precise explanation , you guys are doing a great job.

  • @NazimUdDin-tg8jg
    @NazimUdDin-tg8jg 7 лет назад +127

    make a video on servo motor. .

    • @flaplaya
      @flaplaya 7 лет назад +3

      They just did.
      65 idiot likes!
      They are two in the same. One likes speed the other likes torque. Same class of motor though.

    • @franciskumar8612
      @franciskumar8612 7 лет назад +1

      Nazim Ud Din okay

    • @franciskumar8612
      @franciskumar8612 7 лет назад +1

      okay

    • @gitnote
      @gitnote 7 лет назад +3

      That is not entirely true. Servo motor has a closed loop system to achieve precision, meaning it has an encoder on the motor itself and a driver that reads encoder information to achieve/correct positioning. Many motor types can be used as a servo motor. AC servos are most commonly used, not steppers.

    • @craig21041981
      @craig21041981 6 лет назад

      Spot on mate AC servos are most common in automation and are completely different from stepper motors. Typically using resolvers or hyperface encoders to provide a closed loop feedback of the motor position.

  • @Bravohalo
    @Bravohalo 3 года назад +16

    Spaceyman brought me here.

  • @MilquetoastMan
    @MilquetoastMan 7 лет назад +1

    Thank you! This video explains everything so clearly. Looking forward to future videos!

  • @SK.The-Machine-Designer
    @SK.The-Machine-Designer 4 года назад

    Thank you sir you are the one who given complete understanding of the hybrid stepper motor working principles

  • @pedroartico
    @pedroartico 7 лет назад +8

    Excelent video. But i thought that all the robotic arms motor was a servo motor, stepper motors are too heavy compared to a servomotor with the same torque. Anyway, very nice explanation and keep going =)

    • @evbunke2
      @evbunke2 7 лет назад +2

      Yeah great vid, but industrial robots and CNC machinery all use servos. The only ones that use steppers are low end hobbiest models.

    • @pedroartico
      @pedroartico 7 лет назад

      Evan Bunke Exactly = )

    • @confidential303
      @confidential303 5 лет назад

      hi guys I am helping someone with a stepper motor though I am not into motors .. I would like to use a smaller stepper motor for an application but is it possible to deliver the same torque with gears? and how does the ratio matter of the bigger and smaller stepper motor relate to each other? does 2 times a diameter deliver a 2 times higher torque?

  • @antoniojosefernandezespino4455
    @antoniojosefernandezespino4455 3 года назад +5

    Aren't the hybrid's windings wrong? I mean, their magnetic fields seems to be backwards. If we follow the current direction through the coils, every instance where it says north it should be south and vice versa.

  • @chrisvolk4730
    @chrisvolk4730 7 лет назад +2

    Fantastic. Thank you very much! Folks, please support these people.

  • @saadmaanrahman9200
    @saadmaanrahman9200 6 лет назад

    Simple demonstration of a complicated operation. Great!!!!

  • @AhmedHan
    @AhmedHan 7 лет назад +3

    OK, well understood the step motor. But one more question: How do you rotate the 1.8 degree motor in the reverse direction?

    • @Gu1tarZer0
      @Gu1tarZer0 7 лет назад +14

      reverse polarity

    • @AlbertaGeek
      @AlbertaGeek 7 лет назад +11

      "Reverse the polarity" - the near-universal solution to every problem a Starship engineer will encounter.

  • @Dim3s
    @Dim3s 2 года назад +6

    What are you doing step motor?

  • @sudarshanreddy2781
    @sudarshanreddy2781 5 лет назад

    Such a beautiful and simple explanation.... Just loved it

  • @meetan-
    @meetan- 7 лет назад +1

    extraordinary mental capability for whoever invented this motor . ..salute him

  • @steveyts9003
    @steveyts9003 6 лет назад +7

    But It seems the N S pole not obey right hand rule?

  • @amimor1000
    @amimor1000 7 лет назад +47

    Are you sure that these robots used stepper motors? I thing they use servo motors.

    • @thundercactus
      @thundercactus 7 лет назад +12

      Servomotors refer to a closed loop system, not a specific type of motor. The most common servos are AC motors, with older machines using brushed dc motors. But stepper motors can be used as a closed loop servomotor.

    • @amimor1000
      @amimor1000 7 лет назад +1

      I have not seen the robots (except toys) which use stepper motors it seems to me that a much better solution is a servo motor (ac gear encoder). It seems to me that this is due to heavy weight stepper motors.

    • @thundercactus
      @thundercactus 7 лет назад +7

      hobby machines may use stepper motors, but older machines used dc brush servos and new machines use ac servos. There's really no excuse to not have closed loop feedback control in a machine that requires consistent precision.

    • @yingbeizhu9256
      @yingbeizhu9256 7 лет назад

      toys ..........................................?!

  • @Samlol23_drrich
    @Samlol23_drrich 2 года назад

    This video was fantastic, and very well done. Thank you for the very clear explanation.

  • @user-ml3yf7pg7g
    @user-ml3yf7pg7g 6 месяцев назад

    Thank you guys, that was the best explanation of how a stepper motor work. Great job !

  • @m.jimth.
    @m.jimth. 7 лет назад +6

    can someone explain to me why the step angle is 1/4 of the angular pitch
    h ????

    • @n5roor
      @n5roor 7 лет назад +32

      Let's assume we're looking at only 1 of the 48 stator teeth. Call it tooth 'x'.
      Also, let's assume we're looking at only 1 of the 50 rotor teeth. Call it tooth 'y'.
      We know one of the following cases could occur:
      1- 'y' is left-half aligned with tooth 'x'
      2- 'y' is perfectly aligned with tooth 'x'
      3- 'y' is right-half aligned with tooth 'x'
      4- 'y' is unaligned with tooth 'x' or any other stator tooth
      Therefore, we have 4 possible scenarios for each rotor tooth. This means we have 50*4=200 different rotor tooth positions. We also know that rotating 1 revolution means rotating 360 degrees.
      Do the calculations:
      [360 degrees]/[200 positions] = 1.8 degrees/position

    • @Lesics
      @Lesics  7 лет назад +7

      It is clear from the diagram. Each time the rotor has to move 1/4th of angular pitch to align with the new North pole. The special geometrical arrangement facilitates this.

    • @m.jimth.
      @m.jimth. 7 лет назад +1

      thanks n5roor this cleared up

    • @m.jimth.
      @m.jimth. 7 лет назад

      thank you all for your replay

    • @unclesam1952
      @unclesam1952 7 лет назад

      Podhigai

  • @PsyMongazoid
    @PsyMongazoid 5 лет назад +4

    Imagine what would happen if this guy spoke to anyone in that voice face to face. SMACK!

  • @nomann5244
    @nomann5244 2 года назад

    4 years and it's still the best video.

  • @rkj8487
    @rkj8487 4 года назад

    BEST TUTORIAL VIDEO I HAVE EVER SEEN ..THANKS

  • @shesmypresident1637
    @shesmypresident1637 5 лет назад +3

    Okay , I'm working with this robot arm and it started attacking me like it has gained a sentient state of existence .. It has made its intentions clear , What have I DONE??!! What have I created !!

  • @oshavlfarms7239
    @oshavlfarms7239 7 лет назад +10

    Quite literally the worst voiceover ever. Why does every statement sound like an unsure question?

    • @siggyincr7447
      @siggyincr7447 7 лет назад

      It almost sounds like a very advanced computer voice. Their videos have excellent animations but get annoying in the narration.

    • @aslanburnley
      @aslanburnley 7 лет назад +1

      I like the narration. It makes me think that I am learning.

    • @svtirefire
      @svtirefire 6 лет назад

      An android that loathes using contractions.

    • @geek65535
      @geek65535 6 лет назад

      The up talking makes this very hard to listen to...

  • @seymat.3742
    @seymat.3742 4 года назад

    This video helped me a lot to understand and visualize the topic, thanks!

  • @isaac-h
    @isaac-h 5 лет назад

    Thanks for making this video, it helped me with my homework!

  • @joshuapitong899
    @joshuapitong899 2 года назад

    Thank you for all your effort and hardwork.❤

  • @nikhilsalgar8274
    @nikhilsalgar8274 6 лет назад

    Thanks for clearing my concepts

  • @BradBo1140
    @BradBo1140 3 года назад

    First time i learned how a stepper motor works. Watched tons of milling videos too. Engineering is so amazing. Humans are so smart!

  • @devarajan2291
    @devarajan2291 7 лет назад

    excellent videos.each video covers all important concepts of a particular machine. animation and explanations are pretty good.
    kindly upload more videos on special electrical machines

  • @sidamarali3030
    @sidamarali3030 4 года назад +1

    Amazing. Your videos just send big doses of adrinaline in my blood and make feel as though am the one who created all that technology. Thanks a million for the knowledge

  • @Henrix1998
    @Henrix1998 7 лет назад +2

    So simple but absolutely clever

  • @hselec
    @hselec 4 года назад

    very usefully video! 꾸준히 시청하겠습니다.

  • @pazera66
    @pazera66 7 лет назад

    Great video. I wish you had better audience and make more of them as your work is extremely usefull to understanding basics of operation for people that cannot get this knowledge easily enough or in reasonable time.

  • @wilsonmartial1224
    @wilsonmartial1224 7 лет назад +2

    bravo pour vos videos ,tres interessant et tres explicatif

  • @ucnamnguyen7549
    @ucnamnguyen7549 5 лет назад

    this's really helpful, u're making great videos, pls keep doing more. Thanks !

  • @vunguyenngoc6241
    @vunguyenngoc6241 6 лет назад

    This video is very very helpful. Thanks guys so much!

  • @ebfsantos
    @ebfsantos 3 года назад

    Amazingly educative video. Thank you.

  • @chiquino5
    @chiquino5 5 лет назад

    Excelente explicativo!! Muchas gracias!! 👏🏼👏🏼👏🏼

  • @maxxsmaxx1901
    @maxxsmaxx1901 6 лет назад

    Excellent demo and lecture !

  • @nwabuezeozuzu6370
    @nwabuezeozuzu6370 3 года назад

    Take a minute to appreciate the ingenuity behind this tech

  • @MrFernandoBedoya
    @MrFernandoBedoya 7 лет назад

    Excellent video. Congratulations and thanks a million!

  • @WhatAWondWorld
    @WhatAWondWorld 2 года назад

    Шикарное объяснение. Спасибо!

  • @serkanozkan8793
    @serkanozkan8793 4 года назад

    Best explanation of the technique.

  • @moussalamrani6130
    @moussalamrani6130 4 года назад

    thank for your well demonstration we willing to look forward for new updated video from you

  • @motobaafeoke4900
    @motobaafeoke4900 Год назад

    Thanks a lot for the video! Really helped me understand steppers

  • @solidus8098
    @solidus8098 6 лет назад +1

    WOW! Very well explained!!

  • @zcxvasdfqwer1234
    @zcxvasdfqwer1234 6 лет назад

    Thank you for this! Amazing job explaining. Subscribed!

  • @recepbashir7216
    @recepbashir7216 3 года назад

    thanks for the monitor animation and explanation.

  • @Music-tt1wl
    @Music-tt1wl 5 лет назад

    Very clear explanation, thanks!

  • @HermanXun
    @HermanXun 6 лет назад

    Thanks for this easy learning video.

  • @grassroot011
    @grassroot011 4 года назад

    Good and concise explanation. Thanks.

  • @kientran4224
    @kientran4224 5 лет назад

    Very easy to understand. Thank you !

  • @videogameclips947
    @videogameclips947 2 года назад +2

    I swear these animations teach us better than those teachers' hands.

  • @Automationacademytv
    @Automationacademytv 4 года назад

    Thanks for your video it helps my channel grow and push me
    make more, Good Job

  • @Losttoanyreason
    @Losttoanyreason 5 лет назад +1

    Pretty interesting . I have heard of stepper motors but never knew what they were.

  • @igordaohw
    @igordaohw 7 лет назад

    This is such an awesome youtube channel. Very interesting content. Keep it up!

  • @mulunehgetnet4827
    @mulunehgetnet4827 6 лет назад

    Thanks sir in advance !It is helpful for my project which requires intermittent motion.

  • @SiradanBirisi8
    @SiradanBirisi8 3 года назад

    Great explanation. Thank you so much!

  • @HOLLYWOODlosANGELES
    @HOLLYWOODlosANGELES 4 года назад

    *Vraiment bien expliqué, Merci beaucoup!*

  • @avi1471717
    @avi1471717 7 лет назад

    you did an excellent explaintion. thank you

  • @maaz_salik
    @maaz_salik 11 месяцев назад

    A very good video, the working was well understandable and visible

  • @pumbo_nv
    @pumbo_nv 5 лет назад +1

    That's some high quality content

  • @jix177
    @jix177 7 лет назад

    Very well explained. Thanks.

  • @sachiperez
    @sachiperez 6 лет назад

    Beautiful concept.

  • @user-eo7vj1px5m
    @user-eo7vj1px5m 5 месяцев назад

    I just got to say thanks, this helps a lot!

  • @user-eu8ro3lx7g
    @user-eu8ro3lx7g 6 лет назад

    what a great explanation!, thanks a lot

  • @jassemtoumi2876
    @jassemtoumi2876 3 года назад

    thanks so much for the animation - it is very useful

  • @md.arshadmolla3567
    @md.arshadmolla3567 6 лет назад

    Excellent explanation.

  • @samopper
    @samopper 6 лет назад

    I love the videos you guys make please keep it up!