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When is the angular momentum of a system not conserved?
The angular momentum of a system is not conserved when external torques are applied to the system. These torques can change the angular momentum by causing the system to rotate faster or slower or by changing the direction of its rotation.
In orbital motion the Angular Momentum of the system is?
In orbital motion, the angular momentum of the system is constant if there is no external torque acting on the system. This is a result of the conservation of angular momentum, where the product of the rotating body's moment of inertia and angular velocity remains constant unless acted upon by an external torque.
What is the law of inertia for rotating systems in terms of angular momentum?
The law of inertia for rotating systems in terms of angular momentum states that an object will maintain its angular momentum unless acted upon by an external torque. This is a rotational equivalent of Newton's first law of motion, which states that an object in motion will stay in motion unless acted upon by an external force.
If something shrinks in size but not in mass what happens to its angular momentum?
The angular momentum of the object remains constant. Angular momentum is conserved unless acted upon by an external torque. So, if an object shrinks in size but not in mass, its moment of inertia decreases (since it is closer to the axis of rotation), but its angular velocity will increase in order to keep the angular momentum constant.
Angular momentum about the center of the planet is conserved?
Angular momentum is conserved when there is no external torque acting on a system. For a planet, the net torque acting on it is negligible, so its angular momentum about its center will be conserved unless acted upon by an external force. This conservation principle is a consequence of the rotational symmetry of the system.
The product of an object's rotational inertia and its rotational velocity is?
The product of an object's rotational inertia and its rotational velocity is called angular momentum. It is a conserved quantity in a closed system, meaning it remains constant unless acted upon by an external torque.
Why does a skater spin faster when she pulls her arms in toward her body?
When a skater pulls her arms in towards her body, she reduces her moment of inertia, which is the resistance to changes in rotation. This causes her to spin faster due to the conservation of angular momentum, which states that angular momentum must remain constant unless acted upon by an external torque. By bringing her arms closer to her body, she decreases her moment of inertia, causing her angular velocity (spin speed) to increase to maintain constant angular momentum.
What does the earth spins on?
the earth spins on an axis, which is carried over by conservation of angular momentum when the earth was created
Conservation of angular momentum tells us?
Angular momentum will not change unless an external torque acts upon the system The short answer would be that angular momentum is conserved, i.e. it cannot be created nor destroyed. A more technical answer would be that there is a certain theorem in theoretical physics called Noether's theorem which shows that if a physical theory exhibits rotational invariance (i.e. the physics are the same even if you rotate the system) that angular momentum conservation is a result. According to particle physics therefore the conservation of angular momentum seems to tell us that the Universe is invariant under rotations. This might seem strange, because surely rotating yourself changes how think look, but the physics involved remains the same.
What is the best example for conservation of angular momentum?
A classic example of conservation of angular momentum is the spinning ice skater. As the skater pulls their arms closer to their body, their rate of spin increases due to the conservation of angular momentum. This demonstrates how the total angular momentum of the system remains constant unless acted upon by external torques.
If a body is rotating is it necessarily being acted upon by an external torque?
No, a rotating body can maintain its rotation without an external torque if it has an initial angular momentum or is in space with no external forces. However, if the body experiences a change in its rotation speed or direction, then an external torque is likely acting upon it.
What moment of inertia does not depend on angular velocity?
The moment of inertia of an object does not depend on its angular velocity. Moment of inertia is a measure of an object's resistance to changes in its rotational motion, based on its mass distribution around the axis of rotation. Angular velocity, on the other hand, describes how fast an object is rotating and is not a factor in determining the moment of inertia.
