Question

Please answer for college physics discussion post. Please only type out the response as when writing it and uploading it is difficult to read. Thanks!

Respond to the following in detail:

• In your own words, explain angular momentum, moment of inertia, and torque. Also give examples.

Answer 1

angular momentum is the rotational equivalent of linear momentum. It is an important quantity in physics because it is a conserved quantity, the total angular momentum of a closed system remains constant

Angular momentum: The quantity of rotation of a body, which is the product of its moment of inertia and its angular velocity.

An example of conservation of angular momentum is seen in an ice skater executing a spin. The net torque on her is very close to zero, because 1) there is relatively little friction between her skates and the ice, and 2) the friction is exerted very close to the pivot point.

The moment of inertia, otherwise known as the angular mass or rotational inertia, of a rigid body is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis.

Moment of inertia: A quantity expressing a body's tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation.

Example: a mass m of a body is rotating at a distance of "r" from the axis of rotation of the body.

Then moment of inertia is mr^2.

Torque, moment, or moment of force is the rotational equivalent of linear force. Just as a linear force is a push or a pull, a torque can be thought of as a twist to an object.

Torque: Torque is a measure of how much a force acting on an object causes that object to rotate.

For example, if the force is you pushing on a door, then the distance to the hinge is the perpendicular distance, the line to the hinge is 90 degrees to the force arrow (the direction you're pushing) then torque is force multiplied by the perpendicular distance.