Circular Motion | Angular Displacement

Angular Displacement :-

The angle trace by radius vector at the centre of circle is called as angular displacement.

It is depoted by .

Consider, a particle perform circular motion in antivlockwise direction along the circumference of a circle.

Let,

A - starting position of particle

B - End position of particle 

O - Angular displacement

8S - Arc Length 

8T - Time 

r - radius vector 

Then angular displacement is given by.

Angular displacement = Arc length 

                                       radius              

    

                                   =    AB

                                         OA

Angular displacement  =  8S

                                       r

Unit :- Radian (Rad)

Diamension :- [  M° L° T° ]