What is the difference between linear and angular displacement?
Linear displacement: distance traveled along a straight line. Angular displacement: angle through which an object has rotated.
What is the difference between linear and angular velocity?
Linear velocity: rate of change of linear displacement. Angular velocity: rate of change of angular displacement.
What is the difference between linear and tangential acceleration?
Linear acceleration: rate of change of velocity in a straight line. Tangential acceleration: rate of change of tangential velocity of a rotating object.
Compare angular velocity at different points in a rigid rotating system.
All points in a rigid rotating system share the same angular velocity, regardless of their distance from the axis of rotation.
Compare tangential velocity at different points in a rigid rotating system.
Points further from the axis of rotation in a rigid rotating system have greater tangential velocity.
Define angular displacement ($\theta$).
Angular displacement is the angle through which a point or object has been rotated in a specified direction.
Define angular velocity ($\omega$).
Angular velocity is the rate of change of angular displacement with respect to time.
Define angular acceleration ($alpha$).
Angular acceleration is the rate of change of angular velocity with respect to time.
Define tangential acceleration ($a_T$).
Tangential acceleration is the linear acceleration of a point on a rotating object, tangent to the circular path.
Define 'rolling without slipping'.
Rolling without slipping is a type of motion where a rotating object moves along a surface without sliding; the point of contact between the object and the surface is instantaneously at rest.
Define angular displacement ($\theta$).
The angle through which a point or line has been rotated in a specified direction.
Define angular velocity ($\omega$).
The rate of change of angular displacement with respect to time.
Define angular acceleration ($\alpha$).
The rate of change of angular velocity with respect to time.
Define arc length ($s$).
The distance along a curved path.
Define tangential acceleration ($a_t$).
The component of acceleration of a point on a rotating object that is tangent to the circle of motion.
What is a 'rigid rotating system'?
A system that maintains its shape and size during rotation, where all points share the same angular velocity and angular acceleration.
