Rotational Motion

By Cody Mims and Jon B.

It's a blast!

It's all magic

Angular Quantities

Angular quantities are measures of the magnitude of angles.

Quantities… but angular!

Constant Angular Acceleration

• Replace x with θ

• Replace v with ω

• Replace a with α

Don't play in the

centrifuge, kids!

Rolling Motion

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

Torque

The force applied to make an object move and/or rotate

I can rotate too!

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!"

Moments of Inertia Equations

Rotational Kinetic Energy

If an object is rotating around an axis, it has rotational kinetic energy.

Pictured: a kid who loves his Joules

Angular Momentum

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

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.