A particle moving along a circular path of radius 5m with constant speed . Determine its angular velocity, time period, and acceleration. Also, determine the net force acting on the particle. The mass of the particle is
Step 1: Given data:
The radius of the circle
Constant speed
Mass of the particle
Step 2: Angular velocity:
The relationship between linear velocity and the angular velocity of the particle is,
Step 3: To find angular velocity:
The angular velocity is,
Step 4: To find the time period of the oscillation:
The time period of the oscillation is,
sec
Step 5: To find the angular acceleration of the particle:
The angular acceleration of the particle is,
Step 6: To find the net force on the particle:
The net force on the particle is,
Hence, the linear and angular velocity, time period and acceleration are . The net force acting on the particle is .