Circular Motion Question: Change in Vector Angular Velocity

[e-pie]

Homework Statement

A particle is moving along a circular path of radius $$r$$ with uniform speed $$v$$ Through what angle does its angular velocity change when it completes half of circular path?

Relevant Equations

$$\vec{v}=\vec{\omega}\times \vec{r}$$

Hi i am e-pie's brother and he let me use his account.Since $$\vec{\omega}$$ is always perpendicular to the plane.Shouldn't this be $$0^o$$?

 

[haruspex]

Problem Statement: A particle is moving along a circular path of radius $$r$$ with uniform speed $$v$$ Through what angle does its angular velocity change when it completes half of circular path?
Relevant Equations: $$\vec{v}=\vec{\omega}\times \vec{r}$$

Hi i am e-pie's brother and he let me use his account.Since $$\vec{\omega}$$ is always perpendicular to the plane.Shouldn't this be $$0^o$$?

Looks right to me.

 

[e-pie]

Thanks.I was so confused.
And the change in $$\vec{v}$$ is $$180^o$$ since the direction changes?

 

[haruspex]

Thanks.I was so confused.
And the change in $$\vec{v}$$ is $$180^o$$ since the direction changes?

Yes.