☰ Chapter 8: Angular Kinematics

• Define:
  • Relative and absolute angular position
  • Angular displacement
  • Average angular velocity
  • Instantaneous angular velocity
  • Average angular acceleration
  • Instantaneous angular acceleration
• Name units of measurement for above definitions
• Explain the relationship between angular and linear motion
• Define:
  • Tangential acceleration and explain its relationship to angular acceleration
  • Centripetal acceleration and explain its relationship to angular velocity and tangential velocity

Linear and Angular Quantities

180 degrees = 3.14 radians

\( {Average \space angular \space velocity} = {{Angular \space displacement} \over {\Delta time}} \)

\( {Average \space angular \space acceleration} = {{\Delta Angular \space velocity} \over {\Delta time}} \)

• Slope of angular position versus time equals angular velocity
  
  Olympic Trials 5k Foot Strikes
  
  
• Connection of Linear and Angular Velocity
  
• Tangential Velocity: Discuss how weight and length of golf clubs relates to the distance the club should hit.

  \(v = ω * r\)

• Tangential Acceleration: The component of of linear acceleration tangent to the circular path of a point on a rotating object

  \(a_T = α * r \)

• Centripetal Acceleration: The linear acceleration directed toward the axis of rotation

  \(a_r = ω ^2 r\)

Hammer throw example