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How do you calculate angular momentum for a rigid object rotating about a fixed axis?
Use the formula: $L = I\omega$, where L is angular momentum, I is moment of inertia, and ω is angular velocity.
How do you calculate angular momentum about a point for a particle?
Use the cross product: $\vec{L} = \vec{r} \times \vec{p}$, where $\vec{L}$ is angular momentum, $\vec{r}$ is the position vector, and $\vec{p}$ is linear momentum.
How do you determine angular impulse graphically?
Calculate the area under a torque vs. time graph.
How do you calculate the change in angular momentum?
Subtract the initial angular momentum from the final angular momentum: $\Delta L = L - L_0$.
How to find net torque from an angular momentum vs time graph?
Find the slope of the angular momentum vs. time graph.
In the right-hand rule diagram for angular momentum, what do the fingers, curl, and thumb represent?
Fingers: direction of $\vec{r}$, Curl: direction of $\vec{p}$, Thumb: direction of $\vec{L}$
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: $\Delta L = \int_{t_1}^{t_2} \tau , dt $