Angular momentum

Front

What is angular momentum?

Back

Angular momentum is a measure of the rotational motion of an object, defined as the product of its moment of inertia and its angular velocity.

Front

What happens to angular velocity when an ice skater pulls in their arms?

Back

The angular velocity increases as the skater decreases their rotational inertia.

Front

What is the formula for calculating angular momentum (L)?

Back

L = I * ω, where L is angular momentum, I is moment of inertia, and ω is angular velocity.

Front

What is moment of inertia?

Back

Moment of inertia is a measure of an object's resistance to changes in its rotation, depending on the mass distribution relative to the axis of rotation.

Front

How does mass distribution affect rotational inertia?

Back

Rotational inertia increases as mass is distributed further from the axis of rotation.

Front

What is the relationship between angular momentum and rotational inertia?

Back

Angular momentum is directly proportional to both the moment of inertia and the angular velocity of an object.

Front

If a particle has a mass of 1 kg and travels in a circular path of 0.5 m radius at 20 revolutions per second, what is its angular momentum?

Back

31.4 kg-m²/sec.

Front

What happens to the rotational inertia of an object when mass is moved closer to the axis of rotation?

Back

The rotational inertia decreases.

Front

How do you calculate the angular momentum of a solid cylinder?

Back

L = I * ω, where I for a solid cylinder is (1/2) * m * r² and ω is the angular velocity.

Front

What is the angular momentum of a 5 kg solid cylinder with a 20 cm radius rotating at 3 rad/s?

Back

0.3 kg-m²/sec.