Pure Rotation

 

Velocity and acceleration of a point

 

• Velocity: The velocity of a point on a rigid body undergoing pure rotation depends on
  • the angular velocity of the body (ω), and
  • the distance of the point from the fixed axis (r).

 

v_A = r_Aω e_t

 

• Acceleration: The acceleration of a point on a rigid body undergoing pure rotation depends on
  • the angular velocity and angular acceleration of the body (ω, α), and
  • the distance of the point from the fixed axis (r).

 

a_A = r_Aα e_t + r_Aω² e_n