What is the difference between angular momentum of a rigid object and a point object?
Rigid Object: L=Iω, depends on moment of inertia and angular velocity. | Point Object: L=rmvsinθ, depends on distance, mass, velocity, and angle.
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What is the difference between angular momentum of a rigid object and a point object?
Rigid Object: L=Iω, depends on moment of inertia and angular velocity. | Point Object: L=rmvsinθ, depends on distance, mass, velocity, and angle.
How do angular impulse and linear impulse differ?
Angular Impulse: Changes rotational motion; involves torque and time. | Linear Impulse: Changes linear motion; involves force and time.
Compare and contrast torque and force.
Torque: Rotational force; causes angular acceleration. | Force: Linear force; causes linear acceleration.
How are angular momentum and linear momentum related?
Angular Momentum: 'Rotational oomph'; resistance to changes in rotational motion. | Linear Momentum: 'Linear oomph'; resistance to changes in linear motion.
What is the relation between angular impulse and change in angular momentum?
Angular Impulse: The cause of change in rotational motion. | Change in Angular Momentum: The effect of angular impulse.
What is Angular Momentum?
The tendency of an object to keep rotating; the rotational version of linear momentum. A vector quantity with magnitude and direction.
Define Moment of Inertia.
The resistance of an object to rotational motion (kg·m²).
What is Angular Velocity?
The rate at which an object is rotating or revolving, measured in radians per second (rad/s).
Define Angular Impulse.
The change in angular momentum caused by a torque acting over a time interval.
What is Torque?
A rotational force (N·m).
What is the Impulse-Momentum Theorem for Rotation?
The angular impulse equals the change in angular momentum: ΔL=∫t1t2τ,dt
What is the effect of applying a torque to an object?
The object experiences angular acceleration.
What happens when a spinning skater pulls their arms inward?
Their moment of inertia decreases, and their angular velocity increases (angular momentum remains constant).
What is the effect of a net torque acting on an object over time?
The object's angular momentum changes.
What happens when angular impulse is applied to a rotating object?
The object's angular momentum changes.
What is the effect of increasing the distance (r) of a point object from a reference point on its angular momentum?
The angular momentum increases (assuming other variables remain constant).
What happens to the angular momentum if no external torque acts on a system?
The angular momentum of the system remains constant (conservation of angular momentum).