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How does mass affect angular momentum?

Updated: 9/16/2023
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11y ago

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Short answer: Angular momentum is proportional to mass. If you double the mass of an object, you double its angular momentum.

Long Answer:

Angular Momentum is a characteristic of rotating bodies that is basically analogue to linear momentum for bodies moving in a straight line.

It has a more complex definition. Relative to an origin, one obtains the position of the object, the vector r and the momentum of the object, the vector p, and then the angular momentum is the vector cross product, L.

L=r X p.

Since linear momentum, p=mv, is proportional to mass, so is angular momentum.

Sometimes we speak of the angular momentum about the center of mass of an object, in which case one must add all of the bits of angular momentum for all the bits of mass at all the positions in the object. That is easiest using calculus.

It should also be said that the moment of inertia, I, is proportional to mass and another way to express angular momentum is the moment of inertia times the angular velocity.

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What is the difference between angular velocity and angular momentum?

angular momentum and angular velocity


How mass affects both angular and linear momentum?

because u will get a strain


The product of an object's mass and velocity?

The product of an object's mass and velocity is called it's momentum. It is mostly called it's linear momentum to differentiate from the term angular momentum.


If something shrinks in size but not in mass what happens to its angular momentum?

Angular momentum is maintained in such a case - and in fact in all cases, unless angular momentum is transferred to, or from, another body. This means it must rotate faster.Angular momentum is maintained in such a case - and in fact in all cases, unless angular momentum is transferred to, or from, another body. This means it must rotate faster.Angular momentum is maintained in such a case - and in fact in all cases, unless angular momentum is transferred to, or from, another body. This means it must rotate faster.Angular momentum is maintained in such a case - and in fact in all cases, unless angular momentum is transferred to, or from, another body. This means it must rotate faster.


Why is angular momentum of a body is equal to the product of its moment of inertia and angular velocity?

Angular momentum about the axis of rotation is the moment of linear momentum about the axis. Linear momentum is mv ie product of mass and linear velocity. To get the moment of momentum we multiply mv by r, r the radius vector ie the distance right from the point to the momentum vector. So angular momentum = mv x r But we know v = rw, so angular momentum L = mr2 x w (w-angular velocity) mr2 is nothing but the moment of inertia of the moving body about the axis of rotation. Hence L = I w.

Related questions

Is angular velocity possible without angular momentum?

Only if there's no mass involved.


Can neither be created or destroyed?

-- linear momentum -- angular momentum -- the sum of mass and energy


What quantities does angular momentum depend upon?

mass, velocity, and radius.


What is the difference between angular velocity and angular momentum?

angular momentum and angular velocity


What is angular momentum?

Angular momentum is an expression of an objects mass and rotational speed. Momentem is the velocity of an object times its mass, or how fast something is moving times how much it weighs. Therefore angular momentum is the objects mass times the angular velocity where angular velocity is how fast something is rotating expressed in terms like revolutions per minute or radians per second or degrees per second.


Angular momentum is a measure of?

angular momentum is the measure of angular motion in a body.


How mass affects both angular and linear momentum?

because u will get a strain


The product of an object's mass and velocity?

The product of an object's mass and velocity is called it's momentum. It is mostly called it's linear momentum to differentiate from the term angular momentum.


What does angular mean?

Angular momentum is an expression of an objects mass and rotational speed. Momentem is the velocity of an object times its mass, or how fast something is moving times how much it weighs. Therefore angular momentum is the objects mass times the angular velocity where angular velocity is how fast something is rotating expressed in terms like revolutions per minute or radians per second or degrees per second.


If something shrinks in size but not in mass what happens to its angular momentum?

Angular momentum is maintained in such a case - and in fact in all cases, unless angular momentum is transferred to, or from, another body. This means it must rotate faster.Angular momentum is maintained in such a case - and in fact in all cases, unless angular momentum is transferred to, or from, another body. This means it must rotate faster.Angular momentum is maintained in such a case - and in fact in all cases, unless angular momentum is transferred to, or from, another body. This means it must rotate faster.Angular momentum is maintained in such a case - and in fact in all cases, unless angular momentum is transferred to, or from, another body. This means it must rotate faster.


Why is angular momentum of a body is equal to the product of its moment of inertia and angular velocity?

Angular momentum about the axis of rotation is the moment of linear momentum about the axis. Linear momentum is mv ie product of mass and linear velocity. To get the moment of momentum we multiply mv by r, r the radius vector ie the distance right from the point to the momentum vector. So angular momentum = mv x r But we know v = rw, so angular momentum L = mr2 x w (w-angular velocity) mr2 is nothing but the moment of inertia of the moving body about the axis of rotation. Hence L = I w.


How angular momentum of the earth remain constant?

As there is no external torque acting on it, its angular momentum remains constant. This is according to the law of conservation of angular momentum