Inertia Times Spin Is Angular Momentum - Rotational Dynamics and Orbital Mechanics Step by Step

Angular momentum is L = I * omega, the moment of inertia times the angular speed, the rotational analog of p = m * v. The arithmetic is exact only for the stated inertia and angular speed in the ideal rigid-body model. Real systems add distributed-mass geometry, friction/torques, axis alignment, sensor calibration, finite precision, and measurement uncertainty.

The angular-momentum ledger is a checked product. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Angular momentum is inertia times spin rate

Inertia 6 times spin rate 4 gives angular momentum 24.

L=6\times4=24\ \mathrm{kg\,m^2/s}

Spin rate is shown as per second

The spin label is 4 per second, not hertz or a hidden radian unit.

\omega=4\ \mathrm{per\ second}