- #1

Tanya Sharma

- 1,540

- 135

## Homework Statement

I am having a few doubts while writing relationship between angular speed and linear speed ,in the reference frame of a moving observer .

Suppose at an instant, car A is heading towards car B with velocity 'v'. Car B is moving towards right with velocity 'u' ,i.e along positive x-axis . The instantaneous distance between A and B is 's' .

What is the relationship between the different parameters at this instant ?

## Homework Equations

## The Attempt at a Solution

In the reference frame of car A ,the car B is rotating with angular velocity ω ,and translating with velocity ucosθ-v .

So , u

_{T}= sω where u

_{T}=usinθ is the tangential speed of car B .

Now,my confusion is angular speed is the time rate of change of angle .But which angle ? Is it θ or α or something else?

If it is θ then $$ s\dotθ = -usinθ $$ . If it is α ,then $$ s\dotα = usinθ $$ .

While dealing with angular speeds,I have difficulty in determining the angle ,whose time rate of change is ω.

I am not sure if what I have written makes sense .

I would be grateful if somebody could reflect his/her thoughts on this .