Chapter 10: Rotational Motion Summary

These flashcards cover key concepts in rotational motion and kinematics as described in the lecture notes.

Angular Position (θ)

The angle measured from an arbitrary reference line, calculated as the arc length divided by the radius (s/r).

Angular Velocity (ω)

The rate of change of angular position, defined as w = (Δθ/Δt).

Angular Acceleration (α)

The rate of change of angular velocity, defined as a = (Δω/Δt).

Period of Rotation (T)

The time required to complete one full rotation. If the angular velocity is constant, T is related to angular velocity by T = 2π / ω.

Sign Convention

Counterclockwise rotations are positive while clockwise rotations are negative.

Tangential Speed

The linear speed of a point on a rotating object, given by vt = rω.

Centripetal Acceleration

The acceleration of a point on a rotating object directed towards the center of the circle, given by acp = rω².

Tangential Acceleration

The acceleration of a point on a rotating object due to a change in speed, defined as at = rα.

Total Acceleration

The vector sum of tangential and centripetal accelerations experienced by a point on a rotating object.

Rolling Motion

A combination of translational and rotational motions, where an object rolls without slipping with a linear speed v and angular speed ω = v/r.

Rotational Kinetic Energy

The kinetic energy of a rotating object, calculated using the formula K = Iω², where I is the moment of inertia.

Moment of Inertia

A measure of an object's resistance to changes in its rotational motion, important in determining rotational kinetic energy.