How do you calculate angular momentum in circular motion?

To calculate angular momentum in circular motion, multiply the moment of inertia by the angular velocity.

Angular momentum is a vector quantity that describes the rotational motion of an object. In circular motion, the angular momentum is calculated by multiplying the moment of inertia by the angular velocity. The moment of inertia is a measure of an object's resistance to rotational motion and is dependent on the object's mass and distribution of mass around the axis of rotation.

The formula for angular momentum in circular motion is L = Iω, where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity. The units for angular momentum are kg m²/s, while the units for moment of inertia are kg m² and the units for angular velocity are radians per second.

To calculate the moment of inertia for a circular object, the formula I = mr² is used, where m is the mass of the object and r is the radius of the circle. For more complex shapes, the moment of inertia can be calculated using integration.

In summary, to calculate angular momentum in circular motion, multiply the moment of inertia by the angular velocity using the formula L = Iω. The moment of inertia can be calculated using the formula I = mr² for circular objects or through integration for more complex shapes.