This document discusses various concepts relating to rotational motion including angular quantities, angular acceleration, rolling motion, torque, rotational dynamics, moments of inertia, rotational kinetic energy, angular momentum, and the vector nature of angular quantities. Key relationships are described such as the replacement of linear terms like position, velocity, and acceleration with their angular counterparts in equations for constant angular acceleration. Safety warnings are also provided about playing on a centrifuge.

1. Rotational Motion
By Cody Mims and Jon B.
It's a blast!
It's all
magic

2. Angular Quantities
Angular quantities are measures of the magnitude of angles.

3. Constant Angular Acceleration
• Replace x with θ
• Replace v with ω
• Replace a with α
Don't play in
the
centrifuge,
kids!

4. Rolling Motion
A simple relationship between the linear speed
of the axle and the angular velocity of the
rotating wheel or sphere

5. Torque
The force applied to make an object move and/or
rotate
I can
rotate too!

6. Rotational Dynamics
• A continuation of Newton's second law
• In the linear case, the acceleration is not only
proportional to the net force, but it is also
inversely proportional to the inertia of the body,
which we call its mass.
"That ball has so much
rotational inertia!"

7. Moments of Inertia Equations

8. Rotational Kinetic Energy
If an object is rotating around an axis, it has
rotational kinetic energy.
Pictured: a kid who
loves his Joules

9. Angular Momentum
Like linear momentum, but for when an object is
rotating around its axis.

10. Vector Nature of Angular Quantities
Right-hand rule: When the fingers of the right
hand are curled around the rotation axis and
point in the direction of the rotation, then the
thumb points in the direction of ω.