0
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.
What else can I help you with?
What factors does the angular momentum depend upon?
Angular momentum depends on the mass of an object and its rotational speed. The greater the mass or speed, the greater the angular momentum.
How mass affects both angular and linear momentum?
Increasing mass affects both angular and linear momentum differently. For linear momentum, doubling the mass doubles the momentum if velocity remains constant. For angular momentum, increasing mass without changing the distribution around the axis of rotation affects angular momentum due to rotational inertia. In simple terms, the rotational speed would likely decrease to conserve angular momentum.
How can one determine the angular momentum of a rotating object and what is the process for finding angular momentum?
To determine the angular momentum of a rotating object, you multiply the object's moment of inertia by its angular velocity. The moment of inertia is a measure of how mass is distributed around the axis of rotation, and the angular velocity is the rate at which the object is rotating. The formula for angular momentum is L I, where L is the angular momentum, I is the moment of inertia, and is the angular velocity.
Could the angular momentum of the closed system of mass change?
In a closed system where no external torque acts, the angular momentum remains constant (law of conservation of angular momentum). If external torques are present, the angular momentum of the system can change due to the torque causing rotation.
What is the dimension of angular momentum?
Angular momentum is a vector quantity and therefore has dimensions of mass multiplied by length squared divided by time. In SI units, the dimension of angular momentum is kg * m^2/s.
What factors does the angular momentum depend upon?
Angular momentum depends on the mass of an object and its rotational speed. The greater the mass or speed, the greater the angular momentum.
How mass affects both angular and linear momentum?
Increasing mass affects both angular and linear momentum differently. For linear momentum, doubling the mass doubles the momentum if velocity remains constant. For angular momentum, increasing mass without changing the distribution around the axis of rotation affects angular momentum due to rotational inertia. In simple terms, the rotational speed would likely decrease to conserve angular momentum.
Is angular velocity possible without angular momentum?
Only if there's no mass involved.
How can one determine the angular momentum of a rotating object and what is the process for finding angular momentum?
To determine the angular momentum of a rotating object, you multiply the object's moment of inertia by its angular velocity. The moment of inertia is a measure of how mass is distributed around the axis of rotation, and the angular velocity is the rate at which the object is rotating. The formula for angular momentum is L I, where L is the angular momentum, I is the moment of inertia, and is the angular velocity.
Can neither be created or destroyed?
-- linear momentum -- angular momentum -- the sum of mass and energy
Could the angular momentum of the closed system of mass change?
In a closed system where no external torque acts, the angular momentum remains constant (law of conservation of angular momentum). If external torques are present, the angular momentum of the system can change due to the torque causing rotation.
What is the dimension of angular momentum?
Angular momentum is a vector quantity and therefore has dimensions of mass multiplied by length squared divided by time. In SI units, the dimension of angular momentum is kg * m^2/s.
A mass m is moving with a onstant velocity parallel to x axis itts angular momentum with respect to origin is.?
The angular momentum of the mass m with respect to the origin, in this case, would be zero. This is because the mass is moving parallel to the x-axis, so its position vector relative to the origin does not change with time. As angular momentum is defined as the cross product of the position vector and the linear momentum, and in this case, the position vector does not change, the angular momentum is zero.
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.
What quantities does angular momentum depend upon?
mass, velocity, and radius.
What is the formula for calculating angular momentum in terms of kilogram meters squared per second?
The formula for calculating angular momentum in terms of kilogram meters squared per second is: Angular Momentum Mass x Velocity x Radius
How do you change the speed without changing the angular momentum?
To change the speed without changing the angular momentum, you can change the radius of the rotating object. This is because angular momentum is the product of an object's moment of inertia, its mass, and its angular velocity. By adjusting the radius while keeping the other factors constant, you can alter the speed without affecting the angular momentum.
