Huuh I am shocked After seeing a Mathematician talking about basic physics

@darcash1738

Ай бұрын

Could you explain it? Like what all the variables stand for and the significance of this, bc this is the first time I’ve seen it. What does this represent physically

@jopetdevera

Ай бұрын

@@darcash1738 It's the velocity and acceleration as a derivative of distance (or in this case, displacement) over time.

@Josama0214

Ай бұрын

They are very related subjects

@JEET007

Ай бұрын

@@Josama0214 yeah that's true

I get all of it except for the kilonuts at the very end.

@Livio_05

Ай бұрын

its kappa × Normal unit vector i think

Just as v⃗ is the velocity, its magnitude ds/dt is the speed, often written v (no arrow, no boldface). Then just as dv⃗/dt is the acceleration a⃗, the derivative dv/dt (which appears here as d²s/dt²) is the scalar acceleration a (also called tangential acceleration or colloquial acceleration). Notice that a is _not_ the magnitude of a⃗; instead, a>0 when the object is speeding up, and a

@Hungry_for_LIKES

Ай бұрын

ω = 2π/Τ = (2π/λ)×(λ/Τ) = κ ν

@tobybartels8426

Ай бұрын

@@Hungry_for_LIKES : Yes, where λ is the circumference of the osculating circle.

@Hungry_for_LIKES

Ай бұрын

@@tobybartels8426 idk bro I just studied wave motion and only know the formulas

@sans1331

Ай бұрын

what tf am i looking at

@tobybartels8426

Ай бұрын

I should write κ⃗ = κN⃗, not κ⃗ = κB⃗, so a⃗ = aT⃗ + v²κ⃗ (in any number of dimensions).

I'm pretty sure N is supposed to be a vector, wheres the arrow???

@lonekoq4646

Ай бұрын

"im pretty sure N is supp-" 🤓☝️

@Waller12

Ай бұрын

He forgot the arrow oh no 🤓

@lih3391

Ай бұрын

@@Waller12 notation matters because understanding matters🤡

what is N and k and how did he get it from dT/ds

What exactly is T vector supposed to represent?

@JimmyCerra

Ай бұрын

Unit tangent vector

@CalculusIsFun1

Ай бұрын

Unit tangent. It’s the unit vector of the velocity vector (directional component of velocity vector).

Now do the derivation for curvature k in terms of maagnitude of cross product velocity x acceleration all divided by magnitude of velocity cubed.. as a nice intro to differential geometry!

Is calculus vector?

I like physics, but what is ALL OF THIS?

Whats ds and T? Rest all i understood

@CalculusIsFun1

Ай бұрын

ds refers to change in arc length. T is the unit tangent vector, it’s the direction(unit vector) of the velocity vector. It’s basically, how the direction is changing. The change in direction can also be modeled by a change in position with respect to the arc length thus why dr/ds = T

Kinematics with gradients of vectors

What is dr/ds and ds/dt here

@khoozu7802

Ай бұрын

v=dr/dt means velocity is equal to displacement over change in time |v|=ds/dt means speed is equal to distance over change in time ➡️ T=dr/ds=(dr/dt)/(ds/dt)=v/|v| means unit tangent vector is equal to displacement over distance which is also equal to velocity over speed

@khoozu7802

Ай бұрын

So unit tangent vector is unit vector in the direction of velocity vector

@TYLERRAKE-

Ай бұрын

​@@khoozu7802 why dr/dt = dr/ds.ds/dt

@khoozu7802

Ай бұрын

​@@TYLERRAKE-that is called chain rule. It is often used in differentiation of a function which is not respect to x, for example, y=x^2➡️ dy/dx=d(x^2)/dx=2x y=z^2➡️dy/dx=d(z^2)/dx=(d(z^2)/dz)(dz/dx)=2z(dz/dx)

@TYLERRAKE-

Ай бұрын

​@@khoozu7802 I know chain rule but I am not able to see it here

That's what she said

This isn't even math anymore, it's just letters 💀

Calculus 3 and differential geometry

@reidflemingworldstoughestm1394

Ай бұрын

Always good to see a little calc 3 peeking thru the cracks

Me in grade 7 :

Basic physics vector analysis of acceleration and velocity vectors Σιγμα

A brick.

V^2=aR。R是曲率半徑。K=1/R。

@Giveup00

Ай бұрын

The other alternative is a=w^2×r

sin3x=sin2x+1

What T?

@JimmyCerra

Ай бұрын

Unit tangent vector

uhhhhhh

I understand nothing!

@sohidulislam6020

Ай бұрын

It's just 9th grade physics here in India

@sereer5887

Ай бұрын

@@sohidulislam6020 5th grade physics where my cousin studies. 9th is too old don’t you think?

@sohidulislam6020

Ай бұрын

@@sereer5887 In India here, Our Education system is not that advanced . I know It's a 5th grade physics but here it's 9th grade physics for us

@epikherolol8189

Ай бұрын

​@@sohidulislam6020Which school u go to? I'm also from India but it's taught in 11th grade as per cbse

@sohidulislam6020

Ай бұрын

@@epikherolol8189 Online School

11th grade physics, In India

@sereer5887

Ай бұрын

9th grade physics here. Get your game up bro

@OPGAMER.

Ай бұрын

it's 9th grade physics bro.

@sohidulislam6020

Ай бұрын

​@@OPGAMER.It's 7th grade physics here in India

@sereer5887

Ай бұрын

@@sohidulislam6020 Where my cousin is he says they took it in 5th grade. That’s why I let him teach me LOL

@lih3391

Ай бұрын

Isn't this a math problem, not a physics one? Why do you cover this?