Rotational Energy Keeps the Half Factor - Rotational Dynamics: Torque, Inertia, and Angular Momentum Step by Step

Rotational kinetic energy uses one half times inertia times spin squared. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Rotational kinetic energy has a half factor

With inertia 8 and spin 3, the rotational energy is 36 joules.

K_{\mathrm{rot}}=1/2\times8\times3^2=36\ \mathrm{J}

Energy stays in joules

The energy label is 36 joules, while torque elsewhere stayed in newton meters.

K_{\mathrm{rot}}=36\ \mathrm{J}