Smaller Inertia Spins Faster at Same Angular Momentum - Rotational Dynamics: Torque, Inertia, and Angular Momentum Step by Step

The before and after products match by exact arithmetic. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Before and after products match

Before: inertia 6 times spin 4 gives 24.

6\times4=24

Lower inertia pairs with higher spin

After: inertia 3 times spin 8 still gives 24.

3\times8=24

The conservation verdict is a computed match

Because both sides are 24, the conservation ledger is accepted.

24=24