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Dynamics: Transverse and Radial Components of Velocity and Acceleration
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- čas přidán 10. 04. 2020
- In this video, we introduce breaking down Position, Velocity, and Acceleration into components based on the Polar coordinate system (uses r and theta rather than x and y). The two axes that we use to break these vectors into two components are called the Transverse and Radial axes.
This coordinate system is also referred to as the "cylindrical" coordinate system if we include a "z" coordinate to measure the elevation of the target object as well. Here however, we only take a look at 2D, which means "r" and "theta" (without "z")
I cant believe i’ve paid 500$ for this class, and this guy just broke it down in 15min, I really hope you are a teacher, might never need this again but im subscribing just to encourage you
That's very kind of you :) Best of luck
The best video I've seen on this topic. Thank you!
OMG!!! I've been looking for this the whole internet!!! You're an amazing tutor.
I've been having a really hard time in dynamics and didn't understand the equations or what transverse or radial acceleration and velocity were. This video gives me hope. I can't wait to watch more videos.
Great to hear!
Wow! You are very good at making things clear, thank you so so much!
Thank you! I enjoy explaining things and showing how even the most complicated topics can be visualized and broken down :) Especially if you give scenarios where the knowledge is actually used and applied. THat's the whole point of Engineering anyways!
This is literally the best video I've ever seen!!! Good job!
Okay, I said that before watching the full video, but I just got to 10:10 and my mind is blown, this is better than the best
I'm not even sure how I got through physics 1 without knowing the fundamentals this video is instilling in me now
Thank you! This explanation is so much better than anything else.
Awesome I am glad :) I have other Dynamics videos too so feel free to check them out!
I want people to actually understand, rather than just memorize formulas. Learning is actually fun that way...so that's how I teach!
@@eng1048 Sure it is, keep up the good work bro. I'll check out the other videos and share it to my friends.
I came from an entirely different background and this surprisingly doesn't look scary at all. My sincere thanks and gratitude.
Your channel is just great.. and your demonstration is very clear.. keep it up
Great man I really appreciate your positive feedback! I love teaching Engineering and I want things to make sense
Really well explained man, appreciate it.
No problem!
Excellent explanation!! Thank you
Glad it helped :)
Beautiful video
Lifesaver. My dynamics prof didn't cover this in lecture but gave a HW problem on it as if this is just obvious?!!
Profs usually suck lol
You made it very easy to understand 👏 thank you
I am glad my friend :)
The way you talk is very relaxing.
Glad you think so!
thank you, this helped a lot
you are great bruh!
Thank you so much!
Awesome! Glad it helped :)
Thank you!
Very great video
Thank you! Cheers!
BEST BEST BEST....Thanku so much for getting me away frm stress coz by this topic
Most welcome 😊
Thank you! ❤️❤️
welcome :)
Clear explanation
Appreciate it!
thank u so much
Thank you!!!
I am glad it helped!
Thx a lot 😇😇😇.. Very very helpful thing....
Thanks, glad it helped! :)
Thank You!
you're welcome!
Thank you sir
Thanks it is well Explained
You are welcome
Thanks
Great explanation on transverse and radical components! It helped me out a lot. I wish you explained what you mean by "True velocity is always tangent to my path" though. In a different question (same principles) how would I determine the direction of the yellow arrow (drawn at 13:18).
To your first question:
Remember, speed (velocity) is an instantaneous quantity. I can have one speed at one instant, and another speed at another instant. Even if my speeds are the same at two different instances, if you are facing (imagine you are driving a car on a curved path) different directions at those 2 different instants, your velocity (which is just speed but incorporating the idea of direction) is different between those 2 instants.
So the DIRECTION of your velocity at a specific instant is basically "which direction am i facing/travelling at that instant". Think about this a little bit and hopefully the idea that "velocity is tangent to the path" will become more digestible.
Your second question:
If you knew the transverse (r times theta dot) and radial (r dot) components of your velocity at that instant, you can draw a right triangle and use the inverse tangent. Keep in mind that components of a vector do that tip-to-tail vector addition thing to add up to get the resultant vector. Thats why you can draw that right triangle between the radial and transverse component and the true resultant velocity vector. Once you drawn that right triangle, you can use the inverse tangent to get an angle for the actual velocity vector.
THANK U!
Helpfull for jee exam thx
Thank You
You're welcome. can i get some advice life mentor?
@@eng1048 Keep uploading this type of content 👏 👌.
u r hero
i try
You have student from India. Awesome explanation 💙
Thank you!
00:00
The object is the satelite, not the dish or antennae which tracks it.
I'll buy that
Great
Thanks :)
Good vedio sir.
No problem, thanks for your comment!
Does each instant in the motion of the particle have its own unit vector?
It's more like this:
For each instant of motion, the particle has the tranverse and radial unit vector, whose magnitude is a constant of 1, but whose direction changes
Might just need a little more videos for CZcams to recommend your channel 😮
yes yes yes el jef the machine
The resultant truly does have components
give a timestamp my guy, idk what ur talking about
how u are getting the positive and negative ...thank you
hello Rafi, please give time stamp
At last....
Thanks pal
Thanks for the thank-you!
Is engineering and bsc both are same thing.🤔🤔🤔🤔
Thank u sir for clear explanation but mixup hindi please sir
🙂
Thumbs up if you are watching this to understand orbital mechanics
Not a satelite
Hi, did you see my answer to your other question? :)
😢😢
You have problem?
-7:38 True velocity? You must be an EE, I don't think that the Magnitude of the velocity is called the true velocity. It is not like electricy where you have true power. All part of the velocity vector are real. If you were standing next to this particle it would push you sideways. It you were above it. It would push you up. It's all real.
The only real thing is the true velocity vector. It's another word for magnitude of the velocity. I like using the word true velocity because magnitude is used all the time by textbooks and professors. I like using different words to describe the same concepts to lend additional perspective.
Here's what I mean. In the above video, I'm telling how we can take a velocity and split it up into transverse and radial components. Well, we could take that same velocity vector and split it up into x and y components couldn't we? We make the choice of what style components based on what situation we are in. If we were calculating what motor we need, radial/transverse is the way to go (because a radial/transverse approach gets us angular speed). If we were maybe trying to calculate the total distance travelled by a particle , x/y might be the way to go.
So for this reason, the choice of components to use is subjective, it depends on the context. See what I mean? I try to remind students that the only REAL, TRUE thing that's going on is that you have a velocity vector.
I think I see where you're coming from but hopefully I've illuminated why wording choice here :)
perfect explanation! Thank you!!
thanks for the positive comment!