Angular momentum is a vector quantity that describes the rotational motion of an object. Its SI unit is kilogram meters squared per second (kg m^2/s).

In the absence of external torque, angular momentum is a conserved quantity. This means that the total angular momentum of a system remains constant.

The moment of inertia of a point mass rotating in a circular path is given by (I = mr^2).

Angular momentum is directly proportional to angular velocity. If the angular velocity is doubled, the angular momentum will also be doubled.

The mass of an object does not affect its angular momentum. Angular momentum can be changed by applying a torque, changing the moment of inertia, or changing the angular velocity.

Angular momentum is given by the equation (L = I\omega). Substituting the given values, we get (L = 100\ kg m^2 \times 10\ rad/s = 1000\ kg m^2/s).

The kinetic energy of a rotating object is given by the equation (K = \frac{1}{2}I\omega^2). Substituting the given values, we get (K = \frac{1}{2} \times 20\ kg m^2 \times (100\ rad/s)^2 = 1000\ J).

Gyroscopes are not affected by magnetic fields, which makes them useful in navigation systems where magnetic compasses can be unreliable.

All of the given examples involve objects rotating around an axis, which means they have angular momentum.

The relationship between torque and angular momentum is given by the equation (\tau = \frac{dL}{dt}), where (\tau) is the torque, (L) is the angular momentum, and (t) is time.

The angular momentum of a particle moving in a circular path is given by the equation (L = mvr), where (m) is the mass of the particle, (v) is the speed of the particle, and (r) is the radius of the circular path.

Angular momentum is directly proportional to moment of inertia. If the moment of inertia is doubled, the angular momentum will also be doubled.

The SI unit of angular momentum is kilogram meters squared per second (kg m^2/s).

A planet has the greatest angular momentum at perihelion, which is the point in its orbit where it is closest to the Sun.

As the spinning top slows down, its angular momentum decreases due to the frictional force.