I just can’t wrap my head around why the direction of the angular displacement and the angular velocity are perpendicular to the plane. How does this make sense? Why isn’t the direction in the direction of the movement?
Please, describe to me the direction of a rotating object using x, y, z, coordinates and have that direction be in the plane the object is rotating in.
I don't know if you can think of it this way, but think of it as you're unscrewing a screw or tightening a nut. Lefty loosey, righty tighty. Assuming that you're looking straight down at the screw or nut, when you create an angular velocity to left the screw or nut comes out towards you (perpendicular to the plane which the screw sits). Likewise, creating an angular velocity to the right tightens the screw (goes in the negative y-direction). Hope that helps!
Historical reasons, but it does have some advantages and simplification in equations. Mathematicians wanted to extend imaginary numbers into another system b/c they described rotations well. Unfortunately this only works nicely in four dimensions. Then they realized that the ‘3-dimensional parts’ of products are what we now call cross products, and soon they were shown to have applications in physics such as electrodynamics, where some fields created things perpendicular to them EXACTLY like a cross product (I do math, not physics so I’m not aware of the details). Anyways, time went by and they found more things that behaved like this. Eventually, people stopped using quaternions and instead just used their 3-dimensional part, vectors, giving rise to cross and dot (the fourth dimensional, scalar or ‘number’ part) of two vectors. Both of these products became ubiquitous in math, the cross product being related to areas, in the end because you get the same formula either way and its simplier and easier to communicate when fewer ideas are used, moreover they are relatively easy to visualize. Such products also explain angular velocity well. What flipping physics said, the cross product describes rotation of an entire 3d space or rigid object - try thinking about it the other way around; dont curl you fingers to find the direction of omega, think about pointing in a direction and then curling your fingers around to rotate an object; it will just appear to natural to specify the rotation by using the axis of rotation basically. (Sorry for being rambly, I should have put that last sentance at the beginning)
LMAO Mr. P I was doing a question yesterday and got the direction of angular momentum to be positive z axis however, my textbook said its negative z I reffered with it to my brother and we agreed that the book was wrong. But I felt off so I searched for your on the right hand thumb rule. AND the first sentence you say strikes me- "fibd your right hand" and I realised- we were using our left hands the whole time 😂 & thank you mr.p :)))
Before we take quizzes which include the Right Hand Rule. I always make sure my students are able to find their right hand ... and still sometimes students use their left hand. Glad to help!
Mr P, why is the direction recquired to be crossed in other words why is the direction like it is? Why isn't it in the direction of angle encompassing? (Think of the last sentence as if someone is swahing opeing the angle so that direction)
So, why doesn't the mint fly straight up into the air ,perpendicular to the plane, due to its angular velocity and what about the direction of angular acceleration?
Because the angular velocity is assigned to the axis of rotation in accordance with the right hand rule. It is bookkeeping to make this choice, not reality. It is an arbitrary choice which spatial direction we should assign to angular kinematics, and the choice that prevails is to assign it to the axis of rotation where it would point toward the observer who sees it rotating counter-clockwise.
Dearest sir, I am struggling since my high-school days to understand why the direction of angular velocity and angular displacement is thus defined? One doubt is answered that why we should not associate clockwise or anticlockwise direction to it. But till I just don't understand why are they so defined as determined by right hand rule? Sir please answer.
Most threaded fasteners are designed with right-handed threads. If the rotating body were a nut spinning on a threaded rod, it would simultaneously translate in the direction we assign for angular kinematics. It is a convention. That is all. We could've picked any other direction, and the axis of rotation is the choice that prevailed, such that it faces toward the observer who sees it rotating counter clockwise. We have an intuition about this, because most fastener threads are standardized on right-handedness, unless there is a compelling reason to use a left-handed thread (like on your left bike pedal).
i see how counter clockwise and clockwise are observer dependent but is the direction of the torque also either Positive or negative dependent on which way the observer defines as positive or negative? what if i was upside-down looking at a disc. (or on the other side of the earth) our direction of torque would be the same but I would say it's positive while you might say it is negative?
The x,y,z coordinate system defined is independent of the observer. Two different observers may get into fisticuffs over how to define that system, however, in the end, no matter who observes the coordinate system, it will be the same.
Sir, I have got a question......we have taught in our school that displacement vector is given by subtraction of position vector for that particle.....and further we use right hand thumb rule for vector product of two vector quantities, so why are we using right hand thumb rule rather than just doing subtration of those vector quantities ?🤔
oh my god tnx a lot , its a great help as a student of class 10 cbse i suffered a lot due to this, never i was able to understand it this much ............tnx a lot
I just can’t wrap my head around why the direction of the angular displacement and the angular velocity are perpendicular to the plane. How does this make sense? Why isn’t the direction in the direction of the movement?
Please, describe to me the direction of a rotating object using x, y, z, coordinates and have that direction be in the plane the object is rotating in.
@@FlippingPhysics so is the disk traveling up the z axis? please elaborate
I don't know if you can think of it this way, but think of it as you're unscrewing a screw or tightening a nut. Lefty loosey, righty tighty. Assuming that you're looking straight down at the screw or nut, when you create an angular velocity to left the screw or nut comes out towards you (perpendicular to the plane which the screw sits). Likewise, creating an angular velocity to the right tightens the screw (goes in the negative y-direction). Hope that helps!
Historical reasons, but it does have some advantages and simplification in equations. Mathematicians wanted to extend imaginary numbers into another system b/c they described rotations well. Unfortunately this only works nicely in four dimensions. Then they realized that the ‘3-dimensional parts’ of products are what we now call cross products, and soon they were shown to have applications in physics such as electrodynamics, where some fields created things perpendicular to them EXACTLY like a cross product (I do math, not physics so I’m not aware of the details). Anyways, time went by and they found more things that behaved like this. Eventually, people stopped using quaternions and instead just used their 3-dimensional part, vectors, giving rise to cross and dot (the fourth dimensional, scalar or ‘number’ part) of two vectors. Both of these products became ubiquitous in math, the cross product being related to areas, in the end because you get the same formula either way and its simplier and easier to communicate when fewer ideas are used, moreover they are relatively easy to visualize. Such products also explain angular velocity well. What flipping physics said, the cross product describes rotation of an entire 3d space or rigid object - try thinking about it the other way around; dont curl you fingers to find the direction of omega, think about pointing in a direction and then curling your fingers around to rotate an object; it will just appear to natural to specify the rotation by using the axis of rotation basically. (Sorry for being rambly, I should have put that last sentance at the beginning)
@@ankursolanky4129 This was more helpful than my teacher was in an entire week
All Confusions Cleared! Good Videos👍
Keep making more..
Very Nice Sir
Love it
The best Physics teacher ever for me
I am very glad to help you learn physics!
How will.we find direction of angular acceleration by this rule ???????
You are simply awesome..Lots of love
Thanks legend 🤘🏻
You are welcome. 🤙
A beautifully explained video, especially you addresses the common misuse of counter clockwise!
Thank you!
The comedic nature of explanation really aids in understanding what is being told! Loved it and cleared any doubts that I previously had
Thanks for the love my friend!
bro i wish every class just aught like this. You make physics bearable, even enjoyable.
I love the way he makes us feel that we are in a classroom 😂
That is my goal. Glad it worked!
Bruh, you’re so awesome! I was confused on why we would refer it to into the page and out of the page. Thanks for clearing it up for me!
You are welcome!
LMAO Mr. P I was doing a question yesterday and got the direction of angular momentum to be positive z axis however, my textbook said its negative z I reffered with it to my brother and we agreed that the book was wrong. But I felt off so I searched for your on the right hand thumb rule. AND the first sentence you say strikes me- "fibd your right hand" and I realised- we were using our left hands the whole time 😂 & thank you mr.p :)))
Before we take quizzes which include the Right Hand Rule. I always make sure my students are able to find their right hand ... and still sometimes students use their left hand.
Glad to help!
Lol
Absolutely awesome. I have learnt something today after so many years in engineering
I am very glad to have helped you learn something.
Excellent teaching. I wish you were my science teacher decades ago.
Me too.
Got my answer of why not to use clockwise and counter clockwise instead.
Thanks
You are welcome.
Mr P, why is the direction recquired to be crossed in other words why is the direction like it is? Why isn't it in the direction of angle encompassing? (Think of the last sentence as if someone is swahing opeing the angle so that direction)
You write really fast But its that your students look like you. I have question if car go 5 m/s what is velocity?
I hope my prof is like you... You are a good instructor... thank you so much
Genre- Comedy, Mystery, Educational etc.
Wow!
Amazingly explained💕
It was helpful
Thanks!
Angular displacement is not a vector.
So, why doesn't the mint fly straight up into the air ,perpendicular to the plane, due to its angular velocity and what about the direction of angular acceleration?
Because the angular velocity is assigned to the axis of rotation in accordance with the right hand rule. It is bookkeeping to make this choice, not reality. It is an arbitrary choice which spatial direction we should assign to angular kinematics, and the choice that prevails is to assign it to the axis of rotation where it would point toward the observer who sees it rotating counter-clockwise.
You've explained it very well.
Very Helpful. Thanks
अती सुंदर 👨🏫👨🏫
धन्यवाद!
Dearest sir, I am struggling since my high-school days to understand why the direction of angular velocity and angular displacement is thus defined? One doubt is answered that why we should not associate clockwise or anticlockwise direction to it. But till I just don't understand why are they so defined as determined by right hand rule? Sir please answer.
I T S A R B I T A R Y
Most threaded fasteners are designed with right-handed threads. If the rotating body were a nut spinning on a threaded rod, it would simultaneously translate in the direction we assign for angular kinematics.
It is a convention. That is all. We could've picked any other direction, and the axis of rotation is the choice that prevailed, such that it faces toward the observer who sees it rotating counter clockwise. We have an intuition about this, because most fastener threads are standardized on right-handedness, unless there is a compelling reason to use a left-handed thread (like on your left bike pedal).
thank you, that's kwel
Ur vids r very helpful. thank you and keep doing what you do.
Thanks! Any help you can provide will help to keep me being able to make the videos.
flippingphysics.com/help-out.html
THANK YOU THANK YOU THANK YOU
This video deserve more views
It's a problem I have...
I loved it.
Watching all these videos to study for my test, you help so much
You are welcome. I hope the test went well.
he teaches himself
So helpful
I have a test on rotational motion today and angular displacement is so confusing to me with the radians and such
perfect
That was great! Love it
You are welcome!
very helpful! Thank you!
You are welcome!
Excellent. By far the best! Congrats.
i see how counter clockwise and clockwise are observer dependent but is the direction of the torque also either Positive or negative dependent on which way the observer defines as positive or negative? what if i was upside-down looking at a disc. (or on the other side of the earth) our direction of torque would be the same but I would say it's positive while you might say it is negative?
The x,y,z coordinate system defined is independent of the observer. Two different observers may get into fisticuffs over how to define that system, however, in the end, no matter who observes the coordinate system, it will be the same.
Sir, I have got a question......we have taught in our school that displacement vector is given by subtraction of position vector for that particle.....and further we use right hand thumb rule for vector product of two vector quantities, so why are we using right hand thumb rule rather than just doing subtration of those vector quantities ?🤔
This is a different right hand rule, than the right hand rule for the cross product.
Thnk u sir
You are welcome. Glad to help you learn.
oh my god tnx a lot , its a great help as a student of class 10 cbse i suffered a lot due to this, never i was able to understand it this much ............tnx a lot
10th me nahi aata ye sab
Sir u have solved my problem very perfectly thanks nd very nice
R u from india..??
No, I am not.
So understandable. Thanks a lot sir 👍
You r just awesome! Love from Peshawar.💖💞💟💝💖💞💟😩
Thanks for the love. Sending mine from Michigan!
Nice explanation sir
U r great sir
Excellent teaching!
I love the way he makes us feel that we are in a classroom
❤️
Good one ☺️
Cleared my doubts...😎✌Thank you!!
You are welcome!
Was very helpful...thank u
You are very welcome.
ur videos are so so so helpful tq sir ❤from nepal
You are very welcome. I love being able to teach on other continents!
If you could help out, that would be lovely.
flippingphysics.com/help-out.html
Hy mister , your lecture is best .
Thank you.
Thankyou! I'm doing this in school
That is great! I hope this helps.
very helpful thanks
You are welcome!
Sir really nice video thanks
You are welcome. Hope you learned a few things.
Rap battle vs Scott Milam please
Hmmmm.
Great sir
You are welcome.
Thanks Thomas
You are welcome Ledgard
So helpful!
Great!
Sir one question
Sir Rutherford atomic model
Angular velocity is infinity why?
Appreciate your group work sir thanks with the core of heart ❤️ from Pakistan