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.

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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.

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: $\Delta L = \int_{t_1}^{t_2} \tau , dt$

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 $\vec{L}$

All Flashcards

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.

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: $\Delta L = \int_{t_1}^{t_2} \tau , dt$

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 $\vec{L}$