a child spinning on a tire swing has learned how to slow down the rate of spinning. she moves her arms and legs away from the axis of rotation thus increasing her moment of inertia. the principle of conservation of angular momentum, dictates that this increase causes a(n) decrease in her angular velocity.
By moving her arms and legs away from the axis of rotation while spinning on the tire swing, the child increases her moment of inertia. Moment of inertia refers to an object's resistance to changes in its rotational motion.
The principle of conservation of angular momentum states that the total angular momentum of a system remains constant unless acted upon by an external torque. Angular momentum depends on both the moment of inertia and the angular velocity of the object.
In this case, as the child increases her moment of inertia by moving her arms and legs away from the axis of rotation, according to the principle of conservation of angular momentum, her angular velocity will decrease. This means that her rate of spinning will slow down.
Therefore, by increasing her moment of inertia, the child decreases her angular velocity, leading to a slower rate of spinning on the tire swing.
- By moving her arms and legs away from the axis of rotation, the child increases her moment of inertia.
- The principle of conservation of angular momentum states that the total angular momentum of a system remains constant unless acted upon by an external torque.
- As a result, the increase in moment of inertia causes a decrease in the child's angular velocity, leading to a slower rate of spinning on the tire swing.