Angular momentum depends on the mass of an object and its rotational speed. The greater the mass or speed, the greater the angular momentum.
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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.
The angular momentum of the ice skater spinning with her arms out and not being acted upon by an external torque remains constant.
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.
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 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.