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-2 votes
2 answers
122 views

Why does $\vec{a}=\vec{\omega}\times \vec{r}$ as well as the velocity does?

Today I came in class and in one of the problems the teacher used $\vec{a}=\vec{\omega}\times \vec{r}$ which made me very confused because I don't know where it comes from, it seems pulled out of thin ...
Ulshy's user avatar
  • 69
3 votes
3 answers
653 views

Confusion about successive derivatives of position in circular motion

Suppose we define a unit vector $\vec r$ along radial direction for a particle in uniform circular motion at an angular frequency $\omega$. Then we can write: $$\vec r = \cos(\omega t)\hat i + \sin(\...
Prateek Mourya's user avatar
-1 votes
1 answer
106 views

Radius as a constant while deriving of formula for acceleration in circular motion [closed]

While deriving acceleration in circular motion, we differentiate $\vec{v}=\vec{\omega}\times\vec{r}$ Here we differentiate by product rule and write $\frac{dr}{dt}$ as $v$. So we know $\vec{s} =\vec{\...
user63555's user avatar
0 votes
1 answer
2k views

Derivation of centripetal acceleration

While reading HC Verma chapter 7 circular motion I came across a derivation which I couldnt understand. I have marked my doubt with red. I don't understand from where +dw/dt [- i sine +j cos0] came ...
oshhh's user avatar
  • 997