An object's angular momentum is proportional to its moment of inertia.
Option D
Explanation:
Momentum is the measure of an object's movement with respect to its mass and velocity. So it is determined as the product of mass and velocity. An object moving in linear motion, will experience linear momentum.
Similarly, if an object moves in circular motion, then the momentum will be angular momentum. So it is measured as the product of moment of inertia with angular velocity.
[tex]L = Iw[/tex]
Here L is the angular momentum , I is the moment of inertia and ω is the angular velocity.
Thus, the angular momentum is directly proportional to the moment of inertia.
The angular momentum is directly proportional to the moment of inertia and angular velocity.
The given paragraph is based on the glimpse of angular momentum. The angular momentum is related with linear momentum, which is the measure of an object's movement with respect to its mass and velocity. So it is determined as the product of mass and velocity.
Similarly, if an object moves in circular motion, then the momentum will be angular momentum. So it is measured as the product of moment of inertia with angular velocity.
[tex]L = I \times \omega[/tex]
Here,
L is the angular momentum.
I is the moment of inertia.
ω is the angular velocity.
So, the complete paragraph says,
An object's angular momentum is proportional to its angular velocity. An object's angular momentum is proportional to its moment of inertia. weight impulse angular acceleration moment of inertia
Thus, we can conclude that the angular momentum is directly proportional to the moment of inertia and angular velocity.
Learn more about the angular momentum here:
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