- #1

doktorwho

- 181

- 6

## Homework Statement

Given the velocity vector in the polar coordinates, ##\vec v=-awsin{wt}\vec e_r + awcos{wt}\vec e_\theta## determine the average velocity vector and velocity intensity over a time period ##[0, \pi/2w]##

## Homework Equations

3. The Attempt at a Solution [/B]

For the first part where the average velocity vector is to be found i use

##\vec v_{avg}=\frac{\int_{0}^{\pi/2w}\vec vdt}{\pi/2w}##

and for the intensity part i use

##v=\sqrt{v^2_r+v^2_\theta}## first find the intensity which is just ##v=aw## and since the intensity is equal at all times i get for the second part

##\frac{2aw}{\pi/2w}## but i don't get correct results, where is my mistake?