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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.
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What is the relation between torque and angular momentum?
Torque is the rate of change of angular momentum. When a torque is applied to an object, it causes a change in the object's angular momentum. Conversely, an object with angular momentum will require a torque to change its rotational motion.
When is the angular momentum of a system not conserved?
The angular momentum of a system is not conserved when external torques are applied to the system. These torques can change the angular momentum by causing the system to rotate faster or slower or by changing the direction of its rotation.
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.
How can linear momentum be converted to angular momentum?
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.
When is angular momentum conserved?
Angular momentum is conserved when there is no net external torque acting on a system. This principle is described by the law of conservation of angular momentum, stating that the total angular momentum of a system remains constant if there are no external influences causing a change.
What is the relation between torque and angular momentum?
Torque is the rate of change of angular momentum. When a torque is applied to an object, it causes a change in the object's angular momentum. Conversely, an object with angular momentum will require a torque to change its rotational motion.
When is the angular momentum of a system not conserved?
The angular momentum of a system is not conserved when external torques are applied to the system. These torques can change the angular momentum by causing the system to rotate faster or slower or by changing the direction of its rotation.
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.
How can linear momentum be converted to angular momentum?
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.
When is angular momentum conserved?
Angular momentum is conserved when there is no net external torque acting on a system. This principle is described by the law of conservation of angular momentum, stating that the total angular momentum of a system remains constant if there are no external influences causing a change.
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.
What is torque when angular momentum is constant?
When angular momentum is constant, torque is zero. This means that there is no net external force causing the object to rotate or change its rotational motion. The law of conservation of angular momentum states that if no external torque is acting on a system, the total angular momentum of the system remains constant.
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 are ways of changing momentum?
You change momentum by changing mass or, more commonly, velocity.
What is the relationship between the direction of angular momentum and the motion of a rotating object?
The direction of angular momentum is always perpendicular to the axis of rotation of a rotating object. This means that as the object rotates, its angular momentum will also change direction, influencing its motion and stability.
What must be exerted on an object to change the angular momentum?
A torque must be exerted on the object to change its angular momentum. Torque is the rotational equivalent of force and is required to cause an object to rotate or change its rate of rotation.
How does the conservation of linear momentum relate to the conservation of angular momentum in a system?
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.
