Rolling Energy Adds Translation and Rotation - Rotational Dynamics: Torque, Inertia, and Angular Momentum Step by Step

A rolling object carries two checked kinetic-energy ledgers. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Rolling energy has translation plus rotation

The translational part is 9 joules and the rotational part is 9 joules.

9+9=18

The total is the sum of the two ledgers

The rolling total is 18 joules.

K_{\mathrm{total}}=18\ \mathrm{J}