I am not even in school or a college courses about physics or pure maths but i love maths and Khan academy is the best place for me to Jay relax and learn or think about new or old concepts that i am new to or am just revising it's awsome
I found this independently in the summer after 11th grade, right after I took calc 1. I thought to myself “What would happen if you took two perpendicular lines on a curve and brought them infinitely close together?” As it turns out it’s the same as creating a tangent circle to the curve or what this is doing. I’m kind of laughing at myself right now because I somewhat thought this was something that might not have been thought of before because I could never find anything online about it. I was so hoping to have figured out something that had never been thought of, but you know what, it’s ok. To future me who’s gonna look back on this comment years from now, hello, hope you’re doing well, and remember, what you’re coming up with is insane, even for you.
To me it makes perfect sense. For circular motion the centripetal acceleration you experience (force pulling you toward the center of the circle that you're traveling along) is given by v^2/R, where v is your speed. If we let v = 1, then κ = 1/R is your centripetal acceleration, in arbitrary units. The smaller the radius of your circle, the greater the force required to keep the car traveling in that circle.
Good, clear, explanation. So we are defining curvature as the inverse (or opposite) of straighness. It is a bit of negative way of looking at curved lines, which I do not like. (It is like defining a woman like: a woman is a human that is the opposite of a man.) Perhaps we could instead define curvature as the difference between (the perimeter of) some 'unit-circle' which we define as a circle with perimeter 1 and your green circle's perimeter. We should call it relative curvature then because it is relative to that special 'unit-circle'.
Sorry if this is a late reply, but hopefully this will help someone. Grant and Khan both use SoftDraw for these videos. On his own channel, however, he uses python for his animations.
Actually, the reason you "road" doesn't line up with you circle, is because the road is not a half of a circle. When you make a circle using the compass, they are perfectly round, just like the picture of the "blue Marble", no matter where you are on the "blue marble' the curve WILL be the same, right!!!
HE IS THE 3BLUE1BROWN GUY .
I am confirming it ONCE AND FOR ALL
Oh snap 😂
grand sander used to work on khan academy previously. i know.
I am not even in school or a college courses about physics or pure maths but i love maths and Khan academy is the best place for me to Jay relax and learn or think about new or old concepts that i am new to or am just revising it's awsome
IT'S 3BLUE1BROWN WHAT
So
EXACTLY
THAT'S why his voice is so familiar!! Felt like hearing the voice of an old friend 😄. This man taught me Calculus. Such deep gratitude!
BRO I WAS LIKE wait that's familiar? AND THEN I REALISED.
I found this independently in the summer after 11th grade, right after I took calc 1. I thought to myself “What would happen if you took two perpendicular lines on a curve and brought them infinitely close together?” As it turns out it’s the same as creating a tangent circle to the curve or what this is doing. I’m kind of laughing at myself right now because I somewhat thought this was something that might not have been thought of before because I could never find anything online about it. I was so hoping to have figured out something that had never been thought of, but you know what, it’s ok. To future me who’s gonna look back on this comment years from now, hello, hope you’re doing well, and remember, what you’re coming up with is insane, even for you.
to futre you:
hey look at this comment and feel good
I think it’s time for the future you to cringe at your old you
Hey you 3yrs later hope you alive 🙂❤️
Hey, hope you're doing well, stranger
Hey man, hows future you doing?
When you look for a 3 blue one brown video about curvature, you can’t find one, so you say Kahn academy is the next best thing and click on it....
To me it makes perfect sense. For circular motion the centripetal acceleration you experience (force pulling you toward the center of the circle that you're traveling along) is given by v^2/R, where v is your speed. If we let v = 1, then κ = 1/R is your centripetal acceleration, in arbitrary units. The smaller the radius of your circle, the greater the force required to keep the car traveling in that circle.
This is what i want to watch!! Thx a lot from Korea
3blue1brown guy!
whts his actual name
grant
Mateus Buarque umm....full name? 😅
Grant Sanderson
his name is salman khan from khan academy look him up if u want to
@@Goatsiii He's talking about the 3blue1brown guy, not the founder of khan academy.
Thank you
After watching 4 videos on curvature I'm still confused. Hope it gets cleared
Same here
Good, clear, explanation. So we are defining curvature as the inverse (or opposite) of straighness. It is a bit of negative way of looking at curved lines, which I do not like. (It is like defining a woman like: a woman is a human that is the opposite of a man.) Perhaps we could instead define curvature as the difference between (the perimeter of) some 'unit-circle' which we define as a circle with perimeter 1 and your green circle's perimeter. We should call it relative curvature then because it is relative to that special 'unit-circle'.
Thanks sir
Thank you so much ✌🏻️
GRANT???? I NEVER KNEW YOU WORKED FOR KHAN ACADEMY
JazakAllah khair 👍🏻
this is DEFINITELY 3b1b.
i watched this for fun
thank you!!!!
What software is used in the making of this? Doesn't seem to be the usual software.
+TheAwesomeDudeGuy He writes his own software with Pyton. He has another channel where he makes great animations: 3blue1brown
Sorry if this is a late reply, but hopefully this will help someone. Grant and Khan both use SoftDraw for these videos. On his own channel, however, he uses python for his animations.
@@rebeccaf.514 I cannot find SoftDraw on the internet. May you send me the website?
Actually, the reason you "road" doesn't line up with you circle, is because the road is not a half of a circle. When you make a circle using the compass, they are perfectly round, just like the picture of the "blue Marble", no matter where you are on the "blue marble' the curve WILL be the same, right!!!
Why is grant here
exellent
Co ordination shd be X, Z..as Y describes height usually....
Doesn’t make any sense
A single point on the curve would trace out circles of different radii.
Then how can we use radii as measure of curvature
maybe radii is not the measure of curvature ; curvature is the measure of radii
tks
please new analogy
1
kappa 123
2
Hindi