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Angular velocity means how fast something rotates. The exact definition of angular momentum is a bit more complicated, but it is the rotational equivalent of linear momentum. It is the product of moment of inertia and angular speed.
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What is the difference between angular velocity and angular momentum?
angular momentum and angular velocity
Is the direction of angular velocity same as that of angular momentum when agular velocity is decreasing?
Yes, suppose a body is rotating anti-clockwise, then its angular velocity and angular momentum, at any moment are along axis of rotation in upward direction. And when body is rotating clockwise, its angular velocity and angular momentum are along axis of rotation in downward direction. This is regardless of the fact whether angular velocity of the body is increasing or decreasing.
Is angular momentum a vector quantity?
Angular momentum is a vector quantity. Angular velocity, which is a vector quantity, is multiplied by inertia, which is a scalar quantity.
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.
What are the practical applications of Angular Speed Angular Displacement Angular Velocity and Angular Momentum?
These are used in lots of engineering problems related to rotation.
What is the difference between angular velocity and angular momentum?
angular momentum and angular velocity
Is the direction of angular velocity same as that of angular momentum when agular velocity is decreasing?
Yes, suppose a body is rotating anti-clockwise, then its angular velocity and angular momentum, at any moment are along axis of rotation in upward direction. And when body is rotating clockwise, its angular velocity and angular momentum are along axis of rotation in downward direction. This is regardless of the fact whether angular velocity of the body is increasing or decreasing.
Is angular momentum always parallel to angular acceleration?
momentum is product of moment of inertia and angular velocity. There is always a 90 degree phase difference between velocity and acceleration vector in circular motion therefore angular momentum and acceleration can never be parallel
In the angular momentum equasion what does the lower case omega mean?
the equation of angular momentum is L=I*w (w=omega=angular velocity)
Is angular momentum a vector quantity?
Angular momentum is a vector quantity. Angular velocity, which is a vector quantity, is multiplied by inertia, which is a scalar quantity.
Is angular velocity possible without angular momentum?
Only if there's no mass involved.
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.
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.
What are the practical applications of Angular Speed Angular Displacement Angular Velocity and Angular Momentum?
These are used in lots of engineering problems related to rotation.
What quantities does angular momentum depend upon?
mass, velocity, and radius.
What quantities are needed to calculate angular momentum?
"Rate of change" means that you divide something by time ("per unit time" or "per second"), so you would use the units of angular momentum, divided by seconds.I am not aware of any special name for this concept.
Do all objects have a momentum?
No. An object has momentum only if it is in motion..There are two kinds of momentum: linear momentum(or translational momentum), and angular momentum (or rotational momentum)..Linear momentum is a vector quantity and is calculated as mass x velocity (p = mv). Therefore, if an object's velocity is zero, then it has no linear momentum, but if an object is in motion, then it does have linear momentum..VERY IMPORTANT NOTE: Velocity, and therefore linear momentum, is always relative to the frame of reference. For a more complete discussion about velocity, see the related answer, referenced below, entitled 'How to Find Velocity'..Angular momentum is a pseudovector quantity that describes the momentum of an object that is spinning or rotating in place. An object has angular momentum only when it is spinning, or rotating about an axis. When an object is not spinning or rotating, then it does not have angular momentum..It is possible for an object to have only linear momentum, only angular momentum, or both angular and linear momentum. Note that this discussion falls apart in quantum mechanics, so we are only discussing classical physics - that is, every day observable objects, and not light particles (photons), electrons, or other quantum particles..All objects do have inertia, which is a resistance to a change in its momentum.
