Can angular momentum be conserved?

Angular momentum is conserved when net external torque is zero, just as linear momentum is conserved when the net external force is zero.

Does a ceiling fan have angular momentum?

Yes, the angular momentum of a ceiling fan is quantized. This means that when the ceiling fan speeds up, it is actually jumping from one speed to another.

Is spin angular momentum always conserved?

Generally speaking, yes. It’s conserved like angular momentum is conserved. See the Einstein-de Haas effect which “demonstrates that spin angular momentum is indeed of the same nature as the angular momentum of rotating bodies as conceived in classical mechanics”.

What is the momentum of ceiling fan?

Momentum is the product of mass and velocity. Angular momentum is the major reason for the rotation in the ceiling fans. In this case, angular mass is multiplied by the angular velocity thus resulting in angular momentum.

How can energy be lost but momentum conserved?

Energy and momentum are always conserved. Kinetic energy is not conserved in an inelastic collision, but that is because it is converted to another form of energy (heat, etc.). The sum of all types of energy (including kinetic) is the same before and after the collision.

How is momentum conserved if energy is lost?

Momentum is conserved, because the total momentum of both objects before and after the collision is the same. However, kinetic energy is not conserved. In an elastic collision, both momentum and kinetic energy are conserved. Almost no energy is lost to sound, heat, or deformation.

How is angular momentum conserved when a fan is turned on?

Imagine your fan was floating in outer space, turned off and at rest, so that its angular momentum is zero. When you turn it on, the fan blade will rotate one way, but the body of the fan will rotate the opposite way, so that the sum of the angular momenta of the blade and fan body is still zero, so angular momentum is conserved.

Why is angular momentum not conserved when there is a torque?

since momentum and velocity are always parallel. Thus angular momentum is not conserved when there is an torque, [math]\au[/math]. You can use Newton’s third law to show that within a closed system there are no net internal torques.

What is the rate of change of angular momentum?

So rate of change of angular momentum is torque. Angular momentum of a system is conserved as long as there is no net external torque acting on the system, the earth has been rotating on its axis from the time the solar system was formed due to the law of conservation of angular momentum,

What is an example of the law of Conservation of momentum?

This law is analogous to linear momentum being conserved when the external force on a system is zero. As an example of conservation of angular momentum, (Figure) shows an ice skater executing a spin. The net torque on her is very close to zero because there is relatively little friction between her skates and the ice.