Physics of Angular Momentum

The angular velocity of a neutron star increases during its collapse.

kg*m^2/s.

The angular momentum of a merry-go-round is negative when viewed from above if a force is applied to the left.

Angular momentum of an object moving in a circle can be calculated by multiplying its moment of inertia (I) and angular velocity (omega), or by multiplying its mass (m), velocity (v), and radius (r).

The minute hand of an analog clock has greater angular momentum than the hour hand because it moves faster and has the same radius.

Angular momentum is conserved in a closed system, meaning the total angular momentum remains constant even if the object's shape or rotation changes.

Both hands of an analog clock have positive angular momentum because they rotate in the same direction, counter-clockwise.

When the radius of a circular path is decreased, the object's speed increases to maintain constant angular momentum.

An ice skater pulling in their arms increases their angular velocity while conserving angular momentum because their moment of inertia decreases.

Wheels with the same mass, radius, and angular velocity may or may not have the same angular momentum because their moment of inertia can be different.

When a dog jumps off a merry-go-round, the merry-go-round stops spinning (zero angular momentum), while the dog carries away the initial angular momentum.

Just before contact, the gear and disk have the same angular momentum because angular momentum is conserved.

A conserved quantity means that any change in that quantity for one part of a system is balanced by an equal and opposite change in another part of the system.

The total angular momentum of a turntable, professor, and dumbbells remains constant even when the professor lowers their arms, because angular momentum is conserved in a closed system.

An object cannot change its angular momentum without external torques, meaning it can only change its angular velocity by changing its mass distribution.

When two kids slide on ice and grab onto each other, their total angular momentum remains constant.

The angular momentum of the gear after contact with the disk is larger than the disk's angular momentum, because the gear has a larger moment of inertia due to its larger mass.

The angular momentum of a lighter wheel with a flat tire is smaller compared to the other wheels on the car because it has a smaller moment of inertia due to its lower mass.

The magnitude of angular momentum of a rotating wheel can be calculated by multiplying its moment of inertia (I) with its angular velocity (omega) using the equation L = I * omega.

A system's angular momentum is conserved only if no net external torque acts on the system, meaning the total angular momentum remains constant.

After the dog lands on the merry-go-round, both the merry-go-round and the dog have non-zero angular momentum around the merry-go-round's axle.