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Rotational Inertia
Storyboard 
If an object is not acted upon, it will tend to maintain its current state, which corresponds to the angular velocity being constant.The phenomenon is called inertia and gives rise to Newton's first principle in its version for rotation and generalizes the idea by defining that objects tend to keep the angular momentum constant which in the case of the moment of constant inertia is reduced to constant angular velocity.The principle also leads to the fact that if the moment of inertia varies and the angular momentum is constant, the angular velocity will also be reversed.
ID:(1455, 0)
Rotational inertia
Video
If we consider an object with a moment of inertia $I$ and angular velocity $\omega,"$ we can observe that there are two situations where changing its motion is more challenging:
• When its moment of inertia is very large (for example, trying to stop a carousel).
• When its angular velocity is very high (for example, trying to stop the shaft of a motor).
This is why a measure of motion is introduced that involves the body, which is the product of moment of inertia and angular velocity, known as the body's angular momentum.
In ballet, one can see how the dancer applies Newton's first principle for rotation in all their spins:
Bailarina Alina Cojocaru
ID:(10284, 0)
Angular momentum, right-hand rule
Image
The orientation of angular momentum can be determined using the right-hand rule: if you point your fingers in the direction of the radius and rotate in the direction of the moment,
ID:(11601, 0)
Rotational Inertia
Model
If an object is not acted upon, it will tend to maintain its current state, which corresponds to the angular velocity being constant. The phenomenon is called inertia and gives rise to Newton's first principle in its version for rotation and generalizes the idea by defining that objects tend to keep the angular momentum constant which in the case of the moment of constant inertia is reduced to constant angular velocity. The principle also leads to the fact that if the moment of inertia varies and the angular momentum is constant, the angular velocity will also be reversed.
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(ID 3251)
(ID 3251)
(ID 15841)
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(ID 15837)
If we consider an object with a moment of inertia $I$ and angular velocity $\omega,"$ we can observe that there are two situations where changing its motion is more challenging:
• When its moment of inertia is very large (for example, trying to stop a carousel).
• When its angular velocity is very high (for example, trying to stop the shaft of a motor).
This is why a measure of motion is introduced that involves the body, which is the product of moment of inertia and angular velocity, known as the body's angular momentum.
In ballet, one can see how the dancer applies Newton's first principle for rotation in all their spins:
Bailarina Alina Cojocaru
(ID 10284)
(ID 15834)
ID:(1455, 0)