She boosts her angular velocity when she pulls her arms in toward her body since doing so causes her rate of spin to increase dramatically, which lowers her moment of inertia. She pulls her arms in with effort, increasing rotational kinetic energy.
The angular momentum of the system of particles is conserved if there is no net external torque at a given position in a fixed inertial reference frame:
You can see that the whole angular momentum is conserved. Any one of the individual angular momenta can change as long as the aggregate remains unchanged. This equation represents the conservation of linear momentum when there is no outside force acting on the system.
As a result, since the conservation of angular momentum can be demonstrated by an ice skater doing a spin. Her net torque is virtually zero because there isn't much friction between her skates and the ice. Furthermore, the friction is applied rather close to the pivot.
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