in case of angular rotation linear velocity V=r*angular velocity ....now to increase angular velocity radius is reduced...so what if radius is made zero...will the angular velocity be infinite?

Question

anonymous · Answer

Well if the radius becomes zero there won't be a circular motion at all.
We have to consider limits in this situation.
$$\lim_{r \rightarrow 0}  (V/r) $$ So as r tends to zero angular velocity will become huge.

ghazi · Answer

i can prove that there will be an angular motion ...i am just waiting for the answers..that this statement is bit contradictory .. :)..can you think of angular motion when r=0

anonymous · Answer

Well we should only be considering limits in this situation,at r=0 as far as I know there won't be circular motion.Also could you share with us your proof.

ghazi · Answer

for sure i would love to share ideas coz theoretically it can be proven... i am just waiting....so i'll be grateful if you could wait please!! :)

ghazi · Answer

there is no need to look for centripetal force...because just consider a dancer rotating at it's place...and folding her arms to increase angular velocity

anonymous · Answer

That has nothing to do with this.In the case of the dancer the moment of inertia decreases increasing the angular velocity.
"Rotation is very different from circular motion".

ghazi · Answer

well simply just consider r=0 ....how come angular velocity becomes infinite ...

anonymous · Answer

I'll wait for your answer.

anonymous · Answer

In this condition there wont be any circular motion of the particle. the particle will rotate itself at one point with high speed

dls · Answer

i guess acceleration goes to infinity since r=0
that is pretty obvious

ghazi · Answer

by considering the definition of line mathematically it can be proven that at the axis of rotation there will be a motion at axis itself with infinite speed (theoretically) ...

dls · Answer

So,what's ur question?

ghazi · Answer

i am still wondering how come speed is infinite?