Angular Kinematics II

This set of flashcards covers key vocabulary and concepts related to angular kinematics, angular velocity, angular acceleration, and their relationships to linear motion.

Angular Velocity

The rate of change of angular position of a rotating object, typically measured in radians per second (rad/s).

Linear Velocity

The rate at which an object moves along a straight path, expressed as the distance traveled per unit of time.

Angular Acceleration

The rate of change of angular velocity over time, measured in radians per second squared (rad/s²).

Centripetal Acceleration

The acceleration directed towards the center of a circular path, necessary for an object to follow that path.

Tangential Acceleration

The component of linear acceleration that is tangent to the circular path of motion, responsible for the change in the speed of the object.

Relationship between Angular Velocity and Linear Velocity

Linear velocity (v) of a rotating point is equal to the product of the angular velocity (ω) and the radius (r) of the rotation: v = ω * r.

Angular Displacement

The angle in radians through which a point or line has been rotated in a specified sense about a specified axis.

The equation for average angular acceleration (α)

α = Δω / Δt, where Δω is the change in angular velocity and Δt is the change in time.

Units of Angular Acceleration

Common units include radians per second squared (rad/s²) and degrees per second squared (°/s²).

Displacement of hands and putter head

Angular displacement of golfer's hands equals that of the putter head: Δθhands = Δθputter-head.

Direction of Force during Circular Motion

Force must be directed toward the center of the circle to maintain circular motion.