Conservation of angular momentum

In summary, conservation of angular momentum is a fundamental principle in physics that states the total angular momentum of a system remains constant in the absence of external torque. It is defined as a measure of an object's rotational motion and is conserved when there is no external torque acting on the system. An example of this is an ice skater spinning with outstretched arms, where the total angular momentum remains constant as the moment of inertia and angular velocity change. Conservation of angular momentum is closely related to the conservation of energy, as they are interconnected through rotational motion in a closed system.
  • #1
vivinisaac
9
0
does the angular velocity increases or the linear velocity increases when the radius of a rotating body from the axis decreases
 
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  • #2
When the radius of a rotating body decreases, the angular velocity increases so to conserve the angular momentum. And thus, the linear velocity of its points will increase.
 
  • #3


The conservation of angular momentum states that the total angular momentum of a system remains constant unless acted upon by an external torque. In the scenario described, if the radius of a rotating body decreases, the angular velocity will increase in order to maintain the same angular momentum. This means that the body will rotate faster around its axis. However, the linear velocity, which is the speed at which the body moves in a straight line, will remain constant since the body is still rotating around the same axis. This is due to the fact that angular momentum takes into account both the mass and the distance from the axis of rotation, whereas linear velocity only considers the speed of movement. Therefore, in this scenario, the angular velocity increases while the linear velocity remains constant.
 

1. What is conservation of angular momentum?

Conservation of angular momentum is a fundamental principle in physics that states that the total angular momentum of a system remains constant in the absence of external torque.

2. How is angular momentum defined?

Angular momentum is a measure of an object's rotational motion, calculated by multiplying its moment of inertia by its angular velocity.

3. What does it mean for angular momentum to be conserved?

If a system experiences no external torque, the total angular momentum of the system will remain constant, even if individual components within the system may change their angular momentum.

4. What is an example of conservation of angular momentum in action?

A common example is an ice skater spinning with outstretched arms. When they bring their arms closer to their body, their moment of inertia decreases but their angular velocity increases, resulting in a constant total angular momentum.

5. How does conservation of angular momentum apply to the conservation of energy?

Conservation of angular momentum is closely related to the conservation of energy. In a closed system, if there is no external torque acting, the total energy (kinetic and potential) will also remain constant, as energy and angular momentum are interconnected through rotational motion.

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