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- Calculating moment of inertia and translating it between units

Calculating moment of inertia and translating it between units, I've become confused.

The example is a mass of 1kg at 2000mm from the pivot. The force is applied at 1000mm from the pivot.

Basics as far as i'm aware:

Moment of inertia = mass * Distance to center of rotation^2

Torque = Moment of inertia * angular acceleration.

Torque = Force* The distance of the force to the center of rotation

so to achieve acceleration of 1 rad/sec^2

In meters

Moment of inertia = 1*(2^2) = 4 kg m^2

Torque = Moment of inertia * angular acceleration = 4*1 = 4 Nm

Force = 4 NM / 1m = 4N

In mm

Moment of inertia = 1*(2000^2) = 4000,000 kg mm^2

Torque = Moment of inertia * angular acceleration = 4000,000*1 = 4000,000 Nmm

Force = 4000,000 NM /1000 mm = 4000N

Can the calculation not be done in distance units other than meters? am I missing something?

The example is a mass of 1kg at 2000mm from the pivot. The force is applied at 1000mm from the pivot.

Basics as far as i'm aware:

Moment of inertia = mass * Distance to center of rotation^2

Torque = Moment of inertia * angular acceleration.

Torque = Force* The distance of the force to the center of rotation

so to achieve acceleration of 1 rad/sec^2

In meters

Moment of inertia = 1*(2^2) = 4 kg m^2

Torque = Moment of inertia * angular acceleration = 4*1 = 4 Nm

Force = 4 NM / 1m = 4N

In mm

Moment of inertia = 1*(2000^2) = 4000,000 kg mm^2

Torque = Moment of inertia * angular acceleration = 4000,000*1 = 4000,000 Nmm

Force = 4000,000 NM /1000 mm = 4000N

Can the calculation not be done in distance units other than meters? am I missing something?