A particle is moving along a circular path of radius 2m with constant angular velocity 3 rad/s. Determine the angular displacement and the distance traveled by the particle in 3s.
Step 1: Given data:
The radius of the circular path
Angular velocity
Time taken
Step 2: To find the angular displacement:
The angular displacement of the particle is,
, where is the angular velocity and t is the time.
The angular displacement of the particle in seconds is
Step 3: To find the distance traveled:
The distance traveled by the particle (s) is,
The distance traveled by the particle is 3 seconds is .
The angular displacement and the distance traveled by the particle in 3 seconds is and .