Rotational Kinematics

Site: Young Education
Course: Rigid Body Mechanics
Book: Rotational Kinematics
Printed by: Gast
Date: Friday, 25 September 2026, 2:38 AM

1. Angular Displacement

Learning outcomes
  • I can define angular displacement.
  • I can measure angular displacement in degrees and radians.
  • I can distinguish between angular and linear displacement.
  • I can interpret rotational motion using angular position.
  • I can solve problems involving angular displacement.

Key Topics:
  • Definition of a rigid body.
  • Real-world examples of rigid bodies.
  • Assumptions in rigid body mechanics.

2. Angular Velocity

Learning outcomes
  • I can define angular velocity.
  • I can calculate average and instantaneous angular velocity.
  • I can relate angular velocity to rotational speed.
  • I can compare angular velocity and linear velocity.
  • I can solve rotational motion problems involving angular velocity.

Key Topics:
  • Motion of a point mass vs. a rigid body.
  • Examples of systems undergoing translational and rotational motion.

3. Angular Acceleration

Learning outcomes
  • I can define angular acceleration.
  • I can calculate angular acceleration from changes in angular velocity.
  • I can interpret positive and negative angular acceleration.
  • I can analyze rotational motion graphs.
  • I can solve problems involving angular acceleration.

Key Topics:
  • Definition of center of mass.
  • Calculating the center of mass for simple systems.

4. Rotational Motion Equations

Learning outcomes
  • I can use rotational kinematic equations.
  • I can identify variables in rotational motion problems.
  • I can solve constant-angular-acceleration problems.
  • I can compare rotational and linear kinematic equations.
  • I can apply equations to real-world situations.

Key Topics:
  • Definition of degrees of freedom.
  • Translational, rotational, and combined motions.

5. Linear and Angular Relationships

Learning outcomes
  • I can relate linear and angular displacement.
  • I can relate tangential velocity to angular velocity.
  • I can calculate centripetal acceleration from angular quantities.
  • I can explain how rotational motion produces linear motion.
  • I can solve problems involving rotating systems.

Key Topics:
  • Engineering and design of structures.
  • Applications in robotics and machinery.