Linear momentum can be converted to angular momentum through the principle of conservation of angular momentum. When an object with linear momentum moves in a curved path or rotates, its linear momentum can be transferred to create angular momentum. This conversion occurs when there is a change in the object's direction or speed of rotation.
Angular momentum is conserved when there is no net external torque acting on a system. This principle is described by the law of conservation of angular momentum, stating that the total angular momentum of a system remains constant if there are no external influences causing a change.
Usually you would use some fact you know about the physical system, and then write an equation that states that the total angular momentum "before" = the total angular momentum "after" some event.
When an external torque is applied to a rotating object, the total angular momentum of the system is no longer constant because the external torque changes the rotational motion of the object by adding or subtracting angular momentum. This violates the principle of conservation of angular momentum, which states that the total angular momentum of a system remains constant if no external torques are acting on it.
When a spinning skater pulls in her arms to turn faster, her angular momentum is conserved. Angular momentum is the product of an object's moment of inertia and its angular velocity. By pulling her arms in, the skater decreases her moment of inertia, causing her angular velocity to increase in order to maintain a constant angular momentum. This is similar to the principle of conservation of angular momentum seen in other rotating systems.
"Rate of change" means that you divide something by time ("per unit time" or "per second"), so you would use the units of angular momentum, divided by seconds.I am not aware of any special name for this concept.
Angular impulse is defined as the rate-of-change of the angular acceleration.
One of the best examples that demonstrates the conservation of angular momentum is the spinning ice skater. When a skater pulls in their arms while spinning, their rotational speed increases due to the conservation of angular momentum. This principle shows that the total angular momentum of a system remains constant unless acted upon by an external torque.
The conservation of linear momentum and angular momentum are related in a system because they both involve the principle of conservation of momentum. Linear momentum is the product of an object's mass and velocity in a straight line, while angular momentum is the product of an object's moment of inertia and angular velocity around a point. In a closed system where no external forces act, the total linear momentum and angular momentum remain constant. This means that if one form of momentum changes, the other form may change to compensate, maintaining the overall conservation of momentum in the system.
Impulse momentum theory: when force is applied to a rigid body it changes the momentum of the body. it is calculated with respect to time and also the velocity is calculated.
angular momentum is the measure of angular motion in a body.
The conservation of angular momentum and the conservation of linear momentum are related in a physical system because they both involve the principle of conservation of momentum. Angular momentum is the momentum of an object rotating around an axis, while linear momentum is the momentum of an object moving in a straight line. In a closed system where no external forces are acting, the total angular momentum and total linear momentum remain constant. This means that if one type of momentum changes, the other type will also change in order to maintain the overall conservation of momentum in the system.