Question

a particle is revolving in a circular path completes first one third in 2 s. while next one third in 1 s . calculate the average angular velocity of particle

Answer 1

Angular velocity =Total angular displacement
-----------------------------------------
Total Time
For first one third part of circle
angular displacement,
thita 1=S1/r=2πr/3/r
For second one third part of circle
thita 2=2π/3/r=2π/3rad
Total angular displacement,
thita=thita1+thita2=4π/3rad
Total time =2+1
=3 sec
Angular velocity =4π/3/3 rad/s
=4π/6
=2π/3rad/s