Linear momentum can be converted to angular momentum through the principle of conservation of angular momentum. When an object with linear momentum moves in a curved path or rotates, its linear momentum can be transferred to create angular momentum. This conversion occurs when there is a change in the object's direction or speed of rotation.
Angular momentum is defined as the moment of linear momentum about an axis. So if the component of linear momentum is along the radius vector then its moment will be zero. So radial component will not contribute to angular momentum
The moment of linear momentum is called angular momentum. or The vector product of position vector and linear momentum is called angular momentum.
I believe that any particle in linear motion must also have some angular momentum because all particles have spin. In the case of a photon the spin, wavelength and angular momentum all vary with the relative linear velocity. So in my point of view time itself is the ratio between relative linear and angular momentum.
The conservation of linear momentum and angular momentum are related in a system because they both involve the principle of conservation of momentum. Linear momentum is the product of an object's mass and velocity in a straight line, while angular momentum is the product of an object's moment of inertia and angular velocity around a point. In a closed system where no external forces act, the total linear momentum and angular momentum remain constant. This means that if one form of momentum changes, the other form may change to compensate, maintaining the overall conservation of momentum in the system.
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.
Angular momentum is defined as the moment of linear momentum about an axis. So if the component of linear momentum is along the radius vector then its moment will be zero. So radial component will not contribute to angular momentum
The moment of linear momentum is called angular momentum. or The vector product of position vector and linear momentum is called angular momentum.
I believe that any particle in linear motion must also have some angular momentum because all particles have spin. In the case of a photon the spin, wavelength and angular momentum all vary with the relative linear velocity. So in my point of view time itself is the ratio between relative linear and angular momentum.
angular momentum = linear momentum (of object) x perpendicular distance (from origin to the object) where x stands for cross product. angular momentum = mv x r (perpendicular dist.)
The conservation of linear momentum and angular momentum are related in a system because they both involve the principle of conservation of momentum. Linear momentum is the product of an object's mass and velocity in a straight line, while angular momentum is the product of an object's moment of inertia and angular velocity around a point. In a closed system where no external forces act, the total linear momentum and angular momentum remain constant. This means that if one form of momentum changes, the other form may change to compensate, maintaining the overall conservation of momentum in the system.
it works on the basis of conservation of 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.
The conservation of angular momentum and the conservation of linear momentum are related in a physical system because they both involve the principle of conservation of momentum. Angular momentum is the momentum of an object rotating around an axis, while linear momentum is the momentum of an object moving in a straight line. In a closed system where no external forces are acting, the total angular momentum and total linear momentum remain constant. This means that if one type of momentum changes, the other type will also change in order to maintain the overall conservation of momentum in the system.
They both have momentum and their equations are similar.
Linear momentum is the product of an object's mass and velocity in a straight line, measuring how difficult it is to stop the object's motion. Angular momentum, on the other hand, is the product of an object's moment of inertia and angular velocity, measuring how difficult it is to stop the object's rotational motion around an axis.
-- linear momentum -- angular momentum -- the sum of mass and energy
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.