Angular acceleration changes only after both torque and inertia sources close.

Angular acceleration changes only after both torque and inertia sources close. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Base torque over inertia gives alpha two

Torque 12 newton meters divided by inertia 6 gives angular acceleration 2 per second squared.

α=12/6=2\alpha=12/6=2
Angular acceleration source rowBoth torque and inertia sources feed the alpha check.r=1 mr=3 mF=4 Nm=6 kgr=1 mI=6 kg*m^2r=3 mF=4 Ntau=12 N*malpha=2 1/s^2

Doubling torque doubles alpha

Torque 24 newton meters divided by inertia 6 gives angular acceleration 4 per second squared.

α=24/6=4\alpha=24/6=4
Angular acceleration source rowBoth torque and inertia sources feed the alpha check.r=1 mr=6 mF=4 Nm=6 kgr=1 mI=6 kg*m^2r=6 mF=4 Ntau=24 N*malpha=4 1/s^2

Doubling torque and inertia returns alpha two

Torque 24 newton meters divided by inertia 12 gives angular acceleration 2 per second squared.

α=24/12=2\alpha=24/12=2
Angular acceleration source rowBoth torque and inertia sources feed the alpha check.r=2 mr=6 mF=4 Nm=3 kgr=2 mI=12 kg*m^2r=6 mF=4 Ntau=24 N*malpha=2 1/s^2