Define angular displacement.
The angle in radians through which an object rotates around an axis.
Define average angular velocity.
The rate at which angular position changes with time.
Define average angular acceleration.
The rate at which angular velocity changes with time.
What are the units for angular velocity?
Radians per second (rad/s).
What are the units for angular acceleration?
Radians per second squared (rad/s²).
What is the effect of applying a constant frictional torque to a rotating disk?
The disk experiences angular deceleration and eventually comes to rest.
What is the effect of a constant angular acceleration on an object initially at rest?
The object's angular velocity increases linearly with time.
What is the effect of increasing the radius of a rotating object (while keeping mass and angular velocity constant) on its moment of inertia?
The moment of inertia increases.
What is the effect of increasing angular velocity on angular displacement?
For a given time interval, the angular displacement increases.
What happens if the angular acceleration is zero?
The angular velocity remains constant.
Compare angular displacement and linear displacement.
Angular displacement: angle through which an object rotates | Linear displacement: change in position of an object in a straight line.
Compare angular velocity and linear velocity.
Angular velocity: rate of change of angular displacement | Linear velocity: rate of change of linear displacement.
Compare angular acceleration and linear acceleration.
Angular acceleration: rate of change of angular velocity | Linear acceleration: rate of change of linear velocity.
What is the difference between clockwise and counterclockwise rotation?
Clockwise: Typically assigned a negative value. | Counterclockwise: Typically assigned a positive value.
