Rotational Motion Concepts

Front

Angular Displacement

Back

Change in angle, measured in radians

Front

Angular Velocity

Back

Rate of change of angular displacement, \(\omega = \frac{d\theta}{dt}\)

Front

Angular Acceleration

Back

Rate of change of angular velocity, \(\alpha = \frac{d\omega}{dt}\)

Front

Moment of Inertia

Back

Resistance to rotational motion, \(I = \sum m_i r_i^2\)

Front

Torque

Back

Rotational force, \(\tau = r \times F\)

Front

Rotational Kinetic Energy

Back

\(K = \frac{1}{2} I \omega^2\)

Front

Newton's Second Law for Rotation

Back

\(\tau = I \alpha\)

Front

Conservation of Angular Momentum

Back

\(L = I \omega\), constant if no external torque

Front

Centripetal Acceleration

Back

\(a_c = \frac{v^2}{r}\)

Front

Relationship between Linear and Angular Velocity

Back

\(v = r \omega\)