All Flashcards
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:
How do you calculate angular momentum for a rigid object?
- Identify the moment of inertia (I). 2. Determine the angular velocity (). 3. Use the formula: .
How do you calculate angular momentum for a point object?
- Determine the distance (r) from the reference point. 2. Find the mass (m) and velocity (v) of the object. 3. Measure the angle () between r and v. 4. Use the formula: .
How is angular impulse calculated?
- Determine the torque () applied. 2. Measure the time interval () over which the torque is applied. 3. Use the formula: Angular Impulse = .
How do you calculate the change in angular momentum?
- Determine the final angular momentum (). 2. Determine the initial angular momentum (). 3. Use the formula: .
How do you determine angular impulse from a torque vs. time graph?
- Obtain a torque vs. time graph. 2. Calculate the area under the curve of the graph. 3. The area represents the angular impulse.
What is the difference between angular momentum of a rigid object and a point object?
Rigid Object: , depends on moment of inertia and angular velocity. | Point Object: , 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.